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3.3 Piecewise Functions . 1. Use the piecewise function to evaluate the following. 𝑓(𝑥) = 3 𝑥−2, 𝑥< −3 2𝑥. 2. −3𝑥, −3 < 𝑥≤6 8, 1 𝑥> 6. 2. Graph the following piecewise function. 𝑓(𝑥) = − 1 3 𝑥−2, 𝑥≤0 2 𝑥+ 1, 𝑥> 0
34. 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 what
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. DAY.
Piecewise Functions. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the requested value. 1) f(-3) for f(x) = 3x, if x ≤ -1. - 2, if x > -1. -5 B) 1. 3x + 6, if x ≤ 0. 2) f(7) for f(x) = 6 - 6x, if 0 < x < 6 x, if x ≥ 6. 27 B) 6. C) 9. D) -9. 2) C) 7. D) -36. 6x + 1, if x < 1.
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. Interval Notation: Parenthesis, brackets or a combination of both.
Evaluate the function for the given value of x. Match the piecewise function with its graph. Write the answer next to the problem number.
Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Piecewise Functions Name_____ Date_____ Period____-1-Sketch the graph of each function. 1) f (x) = { x , x x , x x y
