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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
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_word_problems - Free download as PDF File (.pdf) or read online for free.
a. Write a piecewise function. b. c Graph the function.
Piecewise Functions Rules and Examples. Graphs of Piecewise Functions. Absolute Value and Transformations of Piecewise Functions.
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.
A piecewise function is a function defi ned by two or more equations. Each “piece” of the function applies to a different part of its domain. An example is shown below. f(x) = { x − 2, 2x + 1, if x ≤ 0 if x > 0 The expression x − 2 represents the value of f when x is less than or equal to 0. The expression 2x + 1 represents the value ...
