Answer
The range is $\{84,24,4,15.25,84\}$
Work Step by Step
The domain of $f(x)=5x^2+4$ is $\{-4,-2,0,1.5,4 \}$.
Evaluate f(x) for each domain value.
$f(-4)=5(-4)^2+4=84$
$f(-2)=5(-2)^2+4=24$
$f(0)=5(0)^2+4=4$
$f(1.5)=5(1.5)^2+4=15.25$
$f(4)=5(4)^2+4=84$
The range is $\{84,24,4,15.25,84\}$.
