Search results
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.
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) =
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.
Evaluate the function for the given value of x. Match the piecewise function with its graph. Write the answer next to the problem number.
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 ...
