Question

answer c: 15
______ evaluate g(-4).
graph of g(x)
answer d: -3
______ evaluate h(3) + h(0).
graph of h(x)

Explanation:

Step1: Find g(-4) from graph

Locate $x=-4$ on the $g(x)$ graph, the corresponding $y$-value is $3$.

Step2: Find h(3) from graph

Locate $x=3$ on the $h(x)$ graph, the corresponding $y$-value is $0$.

Step3: Find h(0) from graph

Locate $x=0$ on the $h(x)$ graph, the corresponding $y$-value is $-4$.

Step4: Calculate h(3)+h(0)

$$\begin{aligned} h(3)+h(0) &= 0 + (-4) \\ &= -4 \end{aligned}$$

Answer:

$g(-4) = 3$
$h(3) + h(0) = -4$