Answer
$f(-4) = 1$
$f(0) = 2$
$f(3) = \dfrac{11}{4}$
Work Step by Step
To find $f(-4)$, we plug $-4$ into the expression:
$f(-4) = \frac{1}{4}(-4) + 2$
Multiply to simplify:
$f(-4) = \frac{-4}{4} + 2$
Simplify the fraction:
$f(-4) = -1 + 2$
Add to solve:
$f(-4) = 1$
To find $f(0)$, we plug $0$ into the expression:
$f(0) = \frac{1}{4}(0) + 2$
Multiply to simplify:
$f(0) = 0 + 2$
Add to solve:
$f(0) = 2$
To find $f(3)$, we plug in $3$ into the expression:
$f(3) = \frac{1}{4}(3) + 2$
Multiply to simplify:
$f(3) = \frac{3}{4} + 2$
Rewrite the constants as equivalent fractions:
$f(3) = \frac{3}{4} + \frac{8}{4}$
Add to solve:
$f(3) = \frac{11}{4}$
