Main content

Algebra (all content)

Lesson 25: Graphing nonlinear piecewise functions (Algebra 2 level)

Graphs of nonlinear piecewise functions

The graph of y, equals, f, left parenthesis, x, right parenthesis is shown below.

Which of the following could be function f?

(Choice A)
$f(x) =\begin{cases} |x-2|-2&&\text{if } -8\leq x \leq 2 \\ \\ \sqrt{x+2}+2 &&\text{if }2< x < 9 \end{cases}$
(Choice B)
$f(x) =\begin{cases} |x-2|-2&&\text{if } -8<x <2 \\ \\ \sqrt{x+2}+2 &&\text{if }2< x < 9 \end{cases}$
(Choice C)
$f(x) =\begin{cases} |x+2|-2&&\text{if } -8< x< 2 \\ \\ \sqrt{x-2}+2 &&\text{if }2< x \leq 9 \end{cases}$
(Choice D)
$f(x) =\begin{cases} |x+2|-2&&\text{if } -8< x \leq 2 \\ \\ \sqrt{x-2}+2 &&\text{if }2< x \leq 9 \end{cases}$

Stuck?