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3.3 Piecewise Functions Use the piecewise function to evaluate the following. 1. 𝑓(𝑥) = −2𝑥2−1, 𝑥 𝑥≤2 4 5 𝑥−4, 𝑥> 2 2. 𝑓(𝑥) = 3 −7 𝑥, ≤ 3 8, −3 < 𝑥≤3 √2𝑥+ 3, 𝑥> 3 𝑎. 𝑓(0) =
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_word_problems - Free download as PDF File (.pdf) or read online for free.
In this lesson we’ll be covering how to set-up piecewise defined functions based on story problems. Keep in mind that each piece of a piecewise defined function has its own domain, so we’ll also have to set-up an interval for each piece, just like the sample piecewise function given below:
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.
a. Write a piecewise function. b. c Graph the function.
Consider the function shown on the coordinate plane to the right. A. What two types of functions make up this piecewise graph? B. Write the function rule below. C. Over what interval(s) is the function increasing? D. Over what intervals is the function decreasing? E. Over what interval is Exercise #5 Consider the function defined below. , A.
