Question

1. find the value of $h$ at each given input.

a. $h(-6) =$
b. $h(0) =$
c. $h(2) =$
d. $h(7) =$
e. $h(0)+2h(10) =$

Explanation:

Step1: Locate x=-6 on the graph

Find the y-value at $x=-6$: $h(-6) = -10$

Step2: Locate x=0 on the graph

Find the y-value at $x=0$: $h(0) = 10$

Step3: Locate x=2 on the graph

Find the y-value at $x=2$: $h(2) = 10$

Step4: Locate x=7 on the graph

Find the y-value at $x=7$: $h(7) = 10$

Step5: Calculate $h(0)+2h(10)$

First find $h(10)=10$, then compute:
$h(0)+2h(10) = 10 + 2\times10 = 30$

Answer:

a. $h(-6) = -10$
b. $h(0) = 10$
c. $h(2) = 10$
d. $h(7) = 10$
e. $h(0)+2h(10) = 30$