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Worksheet Piecewise Functions Math 2 Piecewise Functions Worksheet #2 Part I. Name: ____ Graph each of the following piecewise functions. Identify any points of discontinuity. 1. f x x 2. x 5 if x 2 -4 if x 2 f 2 x 1 if x 1 2 x 3 if x 1 3. f x 2x 4 if x
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10) Write a rule for the function shown. f (x) x x , x x , x . Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com.
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SOLUTION a. The vertex of the path of the reference beam is (5, 8). So, the function has the form g(x) a x 5 8. Substitute the coordinates of the point (0, 0) into = ∣ − ∣ + the equation and solve for a. g(x) a x 5 8 = ∣ − ∣ + Vertex form of the function 0 a 0 5 8 = ∣ − ∣ + Substitute 0 for and 0 for ( ). x g x 1.6 a
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Built of pieces of different functions put together, the piecewise functions describe situations in which the function rule changes based on the input value. The formula to find the output changes as the input value reaches a mark. The functions here are represented in interval notation.
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Worksheet: Piecewise Functions Piecewise Functions WS Evaluate the function for the given value of x. Match the piecewise function with its graph. Carefully graph each of the following. Identify whether or not he graph is a function. Then, evaluate the graph at any specified domain value.
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Worksheet: Piecewise Functions Key . Evaluate the function for the given value of x. Match the piecewise function with its graph. Graph the function.
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Evaluating Piecewise Functions A) Evaluate each function. - - 4 , ≤ 5 ES1 " , -15 ≤ ≤ 0 ( ) = " - 7 , 5 < ≤ 10 2) ( ) = - 5 , 0 < ≤ 15 (-2) = ii) (7) = - 1 6 , ≠ 0 3) ( ) = 3 , = 0 i) (3) = ii) (0) = + 2 , ≤ -7 B) If ( ) = 8 , -7 < ≤ 12 7 (6) 1) 4 (-9) = 3) -9 (-7) + (0) = ( + 4)" , -20 ≤ ≤ 0
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Worksheet by Kuta Software LLC Algebra 1B 8.13 Piecewise Functions Name_____ ID: 1 Date_____ Period____ ©o r2[0y2R3u QKVuGtVaY ASVo[fbtyweaorrey PLALDCa.l a WA^lTlB grVi_gph\tTsP gr]eVs^eBrvvxeKdS.-1- Sketch the graph of each function. 1) f. 8.13 Piecewise Functions
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Unit 1: Piecewise Functions Objective 2.02 Use piece-wise defined functions to model and solve problems; justify results. a) Solve using tables, graphs and algebraic properties. b) Interpret the constants, coefficients, and bases in context of the problem. Function Notes Function: Domain: Increasing: Decreasing: Range:
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Worksheet Piecewise Functions AMR Piecewise Functions Name: Part I. Carefully graph each of the following. Identify whether or not the graph is a function. Then, evaluate the graph at any specified domain value. You may use your calculators to help you graph, but you must sketch it carefully on the grid! x 5 x 2
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2.1 Graphing Linear Piecewise Functions Date: _____ I. Carefully graph each of the following. 1. 2 1 2 12 xx fx xx ® ¯ t 2. 1 22. Worksheet Piecewise Functions Author: Shai McGowan Created Date: 10/2/2019 11:43:43 AM.
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TRY IT! ( 23 SUMMARY: Now, summarize your notes here! + 0 = = = = ( ) = 5,2 − 4, 2 3.3 Piecewise Functions PRACTICE e. e. . . GRAPH ( ) b. y-intercept ( = c. when x = d. x-intercept(s) = ALGEBRA SKILLZ! SIMPLIFY Simplify the radical. SOLVE Solve for x. 15 = 5 + 4 2 FACTOR 1. Use APPLICATION
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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).
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Definition of the derivative. Instantaneous rates of change. Power rule for differentiation. Motion along a line. Approximating area under a curve. Area under a curve by limit of sums. Indefinite integrals. Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format.
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Piecewise Functions And Answers - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Work piecewise functions, Work piecewise functions, Piecewise answers, Piecewise functions, Lesson 1 piecewise functions, Piecewise functions date period, Piecewise functions, Work piecewise functions name algebra 2.
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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.