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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
20 sty 2022 · Graph each formula of the piecewise function over its corresponding domain. Use the same scale for the x-axis and y-axis for each graph. Indicate inclusive endpoints with a solid circle and exclusive endpoints with an open circle.
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.
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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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.
Write g(x) = −1.6 ∣ x − 5 ∣ + 8 as a piecewise function. g(x) = { −1.6[−(x − 5)] + 8, −1.6(x − 5) + 8, if x − 5 < 0 if x − 5 ≥ 0 Simplify each expression and solve the inequalities. So, a piecewise function for g(x) = −1.6 ∣ x − 5 ∣ + 8 is g(x) = { 1.6 x, −1.6x + 16, if x < 5. if x ≥ 5
