Free Graphs of nonlinear piecewise functions Practice Problems • Learn To Be

The graph of

y=f(x)

is shown below.

Which of the following could be function $f$ ?

Choose 1 answer:

A
$f(x) =\begin{cases} -|x+4|+5&&\text{if } -7 < x < 0 \\\\ \sqrt{x}+1 &&\text{if }0 < x \leq 9 \end{cases}$
B
$f(x) =\begin{cases} -|x-4|+5&&\text{if } -7 < x < 0 \\ \\ \sqrt{x+1} &&\text{if }0 < x \leq 9 \end{cases}$
C
$f(x) = \begin{cases} -|x-5|+4&&\text{if }0 \leq x \leq 9 \\ \\ \sqrt{x+1} &&\text{if }-7 < x \leq 0 \end{cases}$
D
$f(x) = \begin{cases} -|x+4|+5&&\text{if } -7 < x \leq 0 \\ \\ \sqrt{x}+1 &&\text{if }0 < x \leq 9 \end{cases}$

Graphs of nonlinear piecewise functions