Answer
$f(-4) = 8$
$f(-\frac{3}{2}) = -\frac{3}{4}$
$f(-1) = -1$
$f(0) = 0$
$f(25) = -1$
Work Step by Step
Because $-4$ is less than $-1$ we have
$f(-4) = (-4)^2 + 2(-4) = 16-8 = 8$
For $-\frac{3}{2}$ it less than $-1$, therefore
$f(-\frac{3}{2})$ = $(-\frac{3}{2})^2$ + $2(-\frac{3}{2})$ = $(\frac{9}{4})$ - $2(-\frac{3}{2})$ = $(\frac{9}{4}) - 3 = -\frac{3}{4}$
Because $-1$ is less or equal $-1$, we have
$f(-1) = (-1)^2 + 2(-1) = 1-2 = -1 $
For $0$ is greater than $-1$ and less than $1$, therefore
$f(0) = 0$
Because $25$ is greater than $1$, therefore
$f(25) = -1$
