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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:
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
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.
20 sty 2022 · E: Graph Piecewise Functions and evaluate them. Exercise \(\PageIndex{E}\) \( \bigstar \) For each of the piecewise-defined functions, (a) sketch the graph, and (b) evaluate at the given values of the independent variable.
4.7 Piecewise Functions. Essential Question. How can you describe a function that is represented by more than one equation? Writing Equations for a Function. CONSTRUCTING VIABLE ARGUMENTS. To be profi cient in math, you need to justify your conclusions and communicate them to others. Work with a partner.
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 .
