Graph a piecewise function online - 1. in matlab, usually plots are done by computing the x/y values in a discretized grid. f=2; a=1; t=0:0.01:3; y=zeros(size(t)); y(t<=1/(2*f))=a*sin(2*pi*f*t(t<=1/2/f)); plot(t,y) another way to create such a piece-wise function is to create a dedicate function or anonymous function to compute this in real time.

 
Piecewise Function. A piecewise function is a function in which the formula used depends upon the domain the input lies in. We notate this idea like: \[f(x) = \begin{cases} \text{formula 1, if domain value satisfies given criteria 1} \\ \text{formula 2, if domain value satisfies given criteria 2} \\ \text{formula 3, if domain value satisfies given criteria 3} …. Dwight's barbecue

Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-step34. Is the function continuous at ? ± 35. Determine the domain of the function shown below. Use both set notation and interval notation. ± ± ± ± ± 8 16 24 32 40 x 8 16 24 32 40 ± ± ± ± ± y 36. Graph the following piecewise function. 37. Find for the given piecewise function: 38. The function is defined below. For whatYou'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: The graph of a piecewise linear function f is shown above. If g (x) = f (t) dt, what is the maximum value of g (x) on [-3,5] ? Please explain how you get the answer. There are 2 steps to solve this one.In this section we discuss graphing functions including several examples of graphing piecewise functions.would describe the total motion. Functions which are defined in pieces are called piecewise-defined functions. In this activity, you will create a graph by moving back and forth in front of a Motion Detector. You will then describe your motion by writing a piecewise-defined function for the motion. OBJECTIVES • Record motion data for a walker.Click on the “+” icon at the top right, this will open the next expression tab. Type (3, 2) Press on the colorful circle next to (3,2), and you’ll get a panel from where you can select the hollow circle option. Click on the hollow-point icon. First piecewise is now accomplished.It is also possible to graph the inverse of a function that is already defined. For example, if f (x) f(x) f (x) is defined, you can graph its inverse by adding the expression x = f (y) x=f(y) x = f (y). Plotting piecewise functions. To add a piecewise function, use the Piecewise function template and enter the desired expressions and domains.Piecewise Practice Homework ©d q2^0l1A7N MKjuTtQam jSCoOfItJwnaWrreq GLFLeCJ.d R ^AJlPls orbiGg^hktisc prdeisWeErovTeidZ.-1- ... Sketch the graph of each function. INCLUDE DOMAIN & RANGE OF EACH GRAPH 1) f (x) = {2x,x £ 1-2x + 3,x > 1 x y-8-6-4-22468-8-6-4-2 2 4 6 8 2) f (x) = {2x - 1,x ¹ 1-x - 4,x = 1 x y-8-6-4-22468-8-6-4-2 2 4 6 8This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Draw the graph of the piecewise function. You need to draw an exact graph that represents the function. g (x)= {2−x1+3x,x≤2x>2. There are 2 steps to solve this one.Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-step8 linear piecewise functions in two easy to use formats! Use the card sorts to have students match the piecewise function to its graph, or have students graph the piecewise functions on a worksheet. You could also have students do the worksheet and then use the graphs to check their answers! ... keep in mind a piecewise-defined function must meet the requirements of a function; this means that every input from the domain has only one output. when graphing, there will be some inputs that get plugged into to more than one piece of the function (such as −3 and 2 in the function given above), but only one of the points that results will ... 👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explo...In this GeoGebra tutorial, we are going to learn how to graph piecewise functions. In doing this activity, we learn the following:1.) graph functions with sp...To graph or solve a piecewise function, follow these steps: The graph below is an example of a piecewise function. A piecewise function has different function rules for different intervals on x. First, these intervals can't overlap (or it would no longer be a function). Therefore, -5 is part of the interval from x=-9 to x=-5 in the above example.Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-stepTo graph a piecewise function in Python, you can use the matplotlib library. First, define the different equations or rules for each interval of the function. Then, use the "plt.plot ()" function to plot each interval separately, and use the "plt.show ()" function to display the graph. 3.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Continuous Piecewise Functions | DesmosLabeling the x and y -axes. Changing the step size of each axis (e.g., using π 2 as step-size when graphing trigonometric functions ). Interpreting the angles in either degree or radian. The Graph Setting Menu in Desmos. In addition, underneath the wrench icon, you should be able to see a + and a − icon.This video discusses how to graph a piecewise function with either 2 or 3 pieces.New York State Common Core Math Algebra I, Module 3, Lesson 15. Worksheets for Algebra 1. Problem Set Sample Solutions. 6. Graph the following piecewise functions for the specified domain. 7. Write a piecewise function for each graph below. Exit Ticket. Each graph shown below represents the solution set to a two-variable equation.You can use the function you have already defined and vectorize is using np.vectorize. import numpy as np import matplotlib.pyplot as plt def f(x): if x>=0 and x<=1: return x elif x>1 and x<=2: return 2-x else: return 0.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. absolute value to piecewise - Save Copy. Log InorSign Up. y = 2 − x. 1. 2. y = − 2 − x x ≥ 2. 3. y = − 2 + x x ≥ 2. 4. 5. y ...On graphing piecewise functions To graph a piecewise function, it is a good idea to follow these steps. 1.Look at the inequalities rst. Draw a dotted vertical line for each of these values. 2.Marking lightly, graph all the functions which are given for f. 3.Looking back at the inequalities, darken in the functions between the vertical lines A piecewise function is defined using different expressions on different pieces of its domain. Learn all about piecewise functions in this free algebra lesson! 1. in matlab, usually plots are done by computing the x/y values in a discretized grid. f=2; a=1; t=0:0.01:3; y=zeros(size(t)); y(t<=1/(2*f))=a*sin(2*pi*f*t(t<=1/2/f)); plot(t,y) another way to create such a piece-wise function is to create a dedicate function or anonymous function to compute this in real time.Interactive, free online calculator from GeoGebra: graph functions, plot data, drag sliders, create triangles, circles and much more!Graphing Functions - In this section we discuss graphing functions including several examples of graphing piecewise functions. Combining functions - In this section we will discuss how to add, subtract, multiply and divide functions. In addition, we introduce the concept of function composition. Inverse Functions - In this section we ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains)...30-Sept-2009 ... 6:05 · Go to channel · Graphing Piecewise Functions on a TI-84 Series Calculator. Cole's World of Mathematics•69K views · 13:39 · G...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Graph a function. Save Copy. Log InorSign Up. Graph a function. Enter your …as starting point: \documentclass{article} \usepackage{pgfplots} \pgfplotsset{compat=1.15} \begin{document} \begin{tikzpicture} \begin{axis}[samples=60] \addplot[blue ...Step 1: Graph our (unrestricted) pieces. This particular piecewise-defined function is comprised of two pieces: y = x + 4 and y = x 2 + 2. Graphing both of these with no restrictions would look ...You can use the function you have already defined and vectorize is using np.vectorize. import numpy as np import matplotlib.pyplot as plt def f(x): if x>=0 and x<=1: return x elif x>1 and x<=2: return 2-x else: return 0.This will tell you that you need to focus on the graph that you see defined on the interval -2 < x <= 2 (see as in see the picture of the graph and read off the interval from the x-axis) Only f (x) and h (x) are defined over this interval with a √x type sub-function, so if you can distinguish between √ (x-2) and √ (x+2), you wll know the ...Free graphing calculator instantly graphs your math problems. Mathway. Visit Mathway on the web. Start 7-day free trial on the app. Start 7-day free trial on the app. Download free on Amazon. Download free in Windows Store. get Go. Graphing. Basic Math. Pre-Algebra. Algebra. Trigonometry. Precalculus. Calculus. Statistics. Finite Math. Linear ...In this video we go over how to define, evaluate, and graph piecewise functions on the TI-Nspire. This should work on both the CAS and the non-CAS for sure.A graph of the function for the previous example is shown below. The graph is a diagonal line from [latex]n=0[/latex] to [latex]n=10[/latex] and a constant after that. In this example, the two formulas agree at the meeting point where [latex]n=10[/latex], but not all piecewise functions have this property.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. ... Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Multivariable graph. Save Copy. Log InorSign Up. f x, y = cos x sin y − x ...Free functions and line calculator - analyze and graph line equations and functions step-by-stepExample 1 Sketch the graph of f (x) =(x−1)3 +1 f ( x) = ( x − 1) 3 + 1 . So, graphing functions is pretty much the same as graphing equations. There is one function that we’ve seen to this point that we didn’t really see anything like when we were graphing equations in the first part of this chapter. That is piecewise functions.Graphing Piecewise Functions quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free!Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-stepGraph of piecewise function. Proudly powered by WordPress Welcome to the BMCC OpenLab! BMCC's OpenLab is an online platform where the College's students, faculty and staff can come together to learn, work, play and share ideas. Support.A General Note: Piecewise Function. A piecewise function is a function in which more than one formula is used to define the output. Each formula has its own domain, and the domain of the function is the union of all these smaller domains. We notate this idea like this: f (x) =⎧⎨⎩formula 1 if x is in domain 1 formula 2 if x is in domain 2 ...Click on the “+” icon at the top right, this will open the next expression tab. Type (3, 2) Press on the colorful circle next to (3,2), and you’ll get a panel from where you can select the hollow circle option. Click on the hollow-point icon. First piecewise is …Hey guys. I need to graph a piecewise function in MATLAB and I don't know how to do it. On top of that, it is also in radians: f(θ) = (80/π²) θ, -π/2 ≤ θ ≤ π/2; (80/π) - (80/π²) θ,...I am a college student working on a calculus project. I need to graph a piecewise function using Matlab with horizontal axis 1 to 56 and vertical axis 0 to 3000. W(t)=48+3.64t+0.6363t^2+0.00963t...Graphing piecewise functions. How do I graph: f(x)-= [ (x^2-3x+2) / |x-2| if x is not equal to 4 . ... College Algebra Continuity And Limits Math Help Intersection Piecewise Graph Math Help For College Hard To Do Personal Finance College Algebra Word Problem Please Help With This Asap Thank You. RELATED QUESTIONSExplore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. ... Piecewise Functions. Save Copy. Log InorSign Up. Piecewise 1 (d+alog_b(x)) 1. Piecewise 2 (b^x+c) 9. Piecewise 3 (a*b^x) 16. Piecewise 4 (alog_b(x+c)) 23. f x = − 2 log 3 x ...Piecewise Function Examples. Example 1: Graph the piecewise function f (x) = {−2x, −1≤ x < 0 x2, 0 ≤ x < 2 f ( x) = { − 2 x, − 1 ≤ x < 0 x 2, 0 ≤ x < 2. Solution: Let us make tables for each of the given intervals using their respective definitions of the function. Let us just plot them and join them by curves.A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains)... 👉 Learn how to graph piecewise functions.When you visit the graphing calculator, you will find the expression list on the left and a grid on the right. In the expression list, you can enter coordinates, expressions, equations, and more. Try entering a point like (1,3) ( 1, 3), graphing a line like y = −2x+4 y = − 2 x + 4, or graphing a parabola like y =x2+1 y = x 2 + 1.A piecewise defined function is a function defined by at least two equations ("pieces"), each of which applies to a different part of the domain. Piecewise defined functions can take on a variety of forms. Their "pieces" may be all linear, or a combination of functional forms (such as constant, linear, quadratic, cubic, square root, cube root ...Piecewise functions . Operations . Inverses . Power, Polynomial, and Rational Functions . Graphs, real zeros, and end behavior of polynomial functions . Dividing polynomial functions ... Fixed: Graphing Rational Functions - Open holes in graph could appear as filled holes; Included in version 2.42 released 12/11/2018:Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:abso...First of all, as marsupilam says in a comment, you have to plot the function as well, not just declare it. Second, you can't use \frac, \pi etc. when declaring functions. They are macros intended for typesetting math, to do a calculation write it like e.g. pi/2. \documentclass[tikz]{standalone} \usepackage{pgfplots}Method 1 (Uses 3 coordinate planes- see p. 6): (Complete use of method 1 shown on page 7) Identify the two functions that create the piecewise function. = 3 x − 1. = x + 4. 2. Graph each function separately. Identify the break between each function as given by the domain of the piecewise function. Use a different color to highlight the piece ...x is > 1, so we use h (x) = x, so h (4) = 4. Piecewise functions let us make functions that do anything we want! Example: A Doctor's fee is based on the length of time. Up to 6 minutes costs $50. Over 6 and up to 15 minutes costs $80. Over 15 minutes costs $80 plus $5 per minute above 15 minutes. Which we can write like this:Nov 16, 2022 · Section 4.1 : Lines, Circles and Piecewise Functions. We’re not really going to do any graphing in this section. In fact, this section is here only to acknowledge that we’ve already looked at these equations and functions in the previous chapter. Here are the appropriate sections to see for these. Lines : Graphing and Functions – Lines. How To: Given a piecewise function, sketch a graph. Indicate on the x-axis the boundaries defined by the intervals on each piece of the domain. For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece. Do not graph two functions over one interval because it would violate the criteria of a ...A piecewise function is a function in which more than one formula is used to define the output. Each formula has its own domain, and the domain of the function is the union of all these smaller domains. We notate this idea like this: f (x) =⎧⎨⎩formula 1 if x is in domain 1 formula 2 if x is in domain 2 formula 3 if x is in domain 3 f ( x ...In this GeoGebra tutorial, we are going to learn how to graph piecewise functions. In doing this activity, we learn the following:1.) graph functions with sp...This will tell you that you need to focus on the graph that you see defined on the interval -2 < x <= 2 (see as in see the picture of the graph and read off the interval from the x-axis) Only f (x) and h (x) are defined over this interval with a √x type sub-function, so if you can distinguish between √ (x-2) and √ (x+2), you wll know the ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. absolute value to piecewise - Save Copy. Log InorSign Up. y = 2 − x. 1. 2. y = − 2 − x x ≥ 2. 3. y = − 2 + x x ≥ 2. 4. 5. y ...In this GeoGebra tutorial, we are going to learn how to graph piecewise functions. In doing this activity, we learn the following:1.) graph functions with sp...GraphFree: Free Online Graphing Calculator. October 21, 2021. New Feature. You may now use the function cbrt for a cube root instead of using a fractional …The graph is displayed on the right: The meaning of y = (x < 2) y = ( x < 2) as a function is that it is equal to 1 1 when it is true and 0 0 when it is false. In other words, the expression (x < 2) ( x < 2) is 1 1 when x < 2 x < 2 and 0 0 otherwise. You can use this idea to graph more complicated functions. For example to enter x + 2 x + 2 for ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Floor function. Save Copy. Log InorSign Up. floor x. 1. 2. powered by. powered by "x" x "y" y "a" squared a 2 "a ...To graph a piecewise function, I always start by understanding that it’s essentially a combination of different functions, each applying to specific intervals on the x-axis. A piecewise function can be written in the form f ( x) = { f 1 ( x) for x in domain D 1, f 2 ( x) for x in domain D 2, ⋮ f n ( x) for x in domain D n, where f 1 ( x), f ...Practice Graphing a Piecewise-defined Function with practice problems and explanations. Get instant feedback, extra help and step-by-step explanations. Boost your Precalculus grade with Graphing a ...We’ll call the “sub-function” for each piece the functionfor that piece. A piecewise function is defined by giving the algebraic expression for the function for each piece and its domain. The domain of a piece of a piecewise function can be either an interval or just a single point. The definition of a piecewise function is written in ...How To: Given a piecewise function, sketch a graph. Indicate on the [latex]x[/latex]-axis the boundaries defined by the intervals on each piece of the domain. For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece. Do not graph two functions over one interval because it would violate the ...Try to enter a piecewise function whose graph matches the one that appears. Or, uncheck the "Show Graph" checkbox above and press the "Random" button to generate a random example graph try to guess what the graph will look like, and recheck "Show Graph" to check your answer. Or, try to draw a picture using various pieces of graphs, …A piecewise defined function is a function defined by at least two equations ("pieces"), each of which applies to a different part of the domain. Piecewise defined functions can take on a variety of forms. Their "pieces" may be all linear, or a combination of functional forms (such as constant, linear, quadratic, cubic, square root, cube root ...Yes, that appears to be correct. I got the same answer. To graph it, think of the graph of f (t) as being split into 3 parts. 0<t<1, 1<t<2, t>2. For the first interval, notice that the unit step function has yet to be "activated", meaning to say that you consider only the part of f (t) which doesn't depend on the unit step function. That graph ...04-Sept-2016 ... Write a Piecewise Function from a Graph | Eat Pi ... Graphing a Piecewise Function ... Graphing Basics With the TI-Nspire CX Graphing Calculator: ...Piecewise functions are solved by graphing the various pieces of the function separately. This is done because a piecewise function acts differently at different sections of the nu...Highlight column D and plot a Scatter Graph. You can fit this curve using built-in functions under Growth/Sigmoidal category, however, in this tutorial, we will separate the curve into two parts by a piecewise function. So the equation will be: Define the Function. Press F9 to open the Fitting Function Organizer and define a function like:For example, if you were asked to make a liner system "such that" the lines were parallel, it would mean you would make a linear system with the graphs being parallel. In its simplest form the domain is all the values that go into a function, and the range is all the values that come out. Sometimes the domain is restricted, depending on the ...Piecewise Function. A piecewise function is a function in which more than one formula is used to define the output. Each formula has its own domain, and the domain of the function is the union of all these smaller domains. We notate this idea like this: f (x) =⎧⎨⎩formula 1 if x is in domain 1 formula 2 if x is in domain 2 formula 3 if x ...This will tell you that you need to focus on the graph that you see defined on the interval -2 < x <= 2 (see as in see the picture of the graph and read off the interval from the x-axis) Only f (x) and h (x) are defined over this interval with a √x type sub-function, so if you can distinguish between √ (x-2) and √ (x+2), you wll know the ...Hey guys. I need to graph a piecewise function in MATLAB and I don't know how to do it. On top of that, it is also in radians: f(θ) = (80/π²) θ, -π/2 ≤ θ ≤ π/2; (80/π) - (80/π²) θ,...Natural Language. Math Input. Extended Keyboard. Examples. Upload. Assuming "piecewise function" is a Wolfram Language symbol | Use as. referring to a mathematical definition. or. a class of mathematical functions.

Interactive, free online calculator from GeoGebra: graph functions, plot data, drag sliders, create triangles, circles and much more!. Anakeesta local days 2023

graph a piecewise function online

A graph of the function for the previous example is shown below. The graph is a diagonal line from [latex]n=0[/latex] to [latex]n=10[/latex] and a constant after that. In this example, the two formulas agree at the meeting point where [latex]n=10[/latex], but not all piecewise functions have this property.To graph or solve a piecewise function, follow these steps: The graph below is an example of a piecewise function. A piecewise function has different function rules for different intervals on x. First, these intervals can’t overlap (or it would no longer be a function). Therefore, -5 is part of the interval from x=-9 to x=-5 in the above example.To graph piecewise functions, first identify where the domain is partitioned by boundary values. Graph functions on the domain using tools such as plotting points or …Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/e/gra...Introduction to Piecewise Functions. Piecewise functions (or piece-wise functions) are just what they are named: pieces of different functions (sub-functions) all on one graph.The easiest way to think of them is if you drew more than one function on a graph, and you just erased parts of the functions where they aren't supposed to be (along the $ x$'s).What is the function of the fan in a refrigerator? Can a refrigerator keep cool without a fan? Advertisement Many older refrigerators and most small refrigerators (like small bar a...This worksheet will help with Piecewise functions. In order to change the graph, you NEED to input it in this format: if [x < #, first equation, second equation] You can change the #, first equation, and second equation for g (x). You can also change the #'s and the three equations for f (x). The format for graphing Piecewise Functions uses an ...A piecewise function is a function with multiple pieces of curves in its graph. It means it has different definitions depending upon the value of the input. i.e., a piecewise function …Therefore, the statement that accurately describes Cheryl's commute is option B, which captures the acceleration, constant speed, and deceleration phases observed in the graph. Q- Select the correct answer. A piecewise function shows Cheryl’s commute on the x-axis on time in minutes and y-axis on Speed in miles per hour.These graphs may be continuous, or they may contain "breaks". Because these graphs tend to look like "pieces" glued together to form a graph, they are referred to as "piecewise" functions (piecewise defined functions), or "split-definition" functions. A piecewise defined function is a function defined by at least two equations ("pieces"), each ...Learn how to sketch graphs of piecewise functions using Desmos graphing calculator through solved examples mentioned in my article.https://mymathsclub.com/pi...Where ever input thresholds (or boundaries) require significant changes in output modeling, you will find piece-wise functions. In your day to day life, a piece wise function might be found at the local car wash: $5 for a compact, $7.50 for a midsize sedan, $10 for an SUV, $20 for a Hummer. Or perhaps your local video store: rent a game, $5/per ...Learn how to graph piecewise functions in this video math tutorial by Mario's Math Tutoring. We discuss 2 methods for graphing these piece-wise functions. ...A piecewise function is usually defined by more than one formula: a fomula for each interval. Example 1: f ( x ) = - x if x <= 2. = x if x > 2. What the above says is that if x is smaller than or equal to 2, the formula for the function is f ( x ) = -x and if x is greater than 2, the formula is f ( x ) = x. It is also important to note that the ...Jan 26, 2024 · To print your graph, you'll need to access Desmos in the browser. Unfortunately, printing isn't available on mobile devices. Start by clicking the Share button and choosing Print. A dialog box will pop up with a preview of the printout. An image of your graph will print on the first page and the expression list will print on the next pages. Piecewise functions follow the following format: f (x) =. -x, x < 0. 0, x = 0. x, x > 0. The piecewise function above is the absolute value function. As you can see, piecewise functions include: A curly bracket to indicate that the function is comprised of more than one subfunction. The subfunctions that make up the piecewise function.Graphing piecewise functions given the function, and writing the functions given the graph! Learn with flashcards, games, and more — for free.That is, a piecewise function is made from two or more functions that are defined on their own domains. Here is what a piecewise function will look like: P ( x) = { f ( x) D 1 g ( x) D 2 h ( x) D ...If you want to graph a piecewise linear function, graph each function on it's specific interval separately. Bring it all together, and you have your graph! This tutorial shows you the entire process for graphing a piecewise linear function. Keywords: piecewise; function; graph;Method 1 (Uses 3 coordinate planes- see p. 6): (Complete use of method 1 shown on page 7) Identify the two functions that create the piecewise function. = 3 x − 1. = x + 4. 2. Graph each function separately. Identify the break between each function as given by the domain of the piecewise function. Use a different color to highlight the piece ....

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