Question

given the piecewise function shown below, select all of
$f(x)=\

$$\begin{cases}2x, x<1 \\\\ 5, x=1 \\\\ x^2, x>1\\end{cases}$$

$
$\square$ $f(1) = 5$
$\square$ $f(2) = 4$
$\square$ $f(5) = 1$
$\square$ $f(-2) = 4$
© 2026 edmentum. all rights reserved.

Explanation:

Step1: Evaluate $f(1)$

Use $f(x)=5$ for $x=1$:
$f(1)=5$

Step2: Evaluate $f(2)$

Use $f(x)=x^2$ for $x>1$:
$f(2)=2^2=4$

Step3: Evaluate $f(5)$

Use $f(x)=x^2$ for $x>1$:
$f(5)=5^2=25$

Step4: Evaluate $f(-2)$

Use $f(x)=2x$ for $x<1$:
$f(-2)=2\times(-2)=-4$

Answer:

A. $f(1) = 5$
B. $f(2) = 4$