Answer
See graph
Work Step by Step
We have:
$f(0)=2$
$f(1)=3$
$f(2)=1$
$f(3)=2$
$g(0)=-1$
$g(1)=0$
$g(2)=0.5$
$g(3)=0$
Compute $h(x)=(f+g)(x)$ for the given points:
$h(0)=(f+g)(0)=f(0)+g(0)=2+(-1)=1$
$h(1)=(f+g)(1)=f(1)+g(1)=3+0=3$
$h(2)=(f+g)(2)=f(2)+g(2)=1+0.5=1.5$
$h(3)=(f+g)(3)=f(3)+g(3)=2+0=2$
Plot the points corresponding to $h(x)$ and join them with lines:
![](https://gradesaver.s3.amazonaws.com/uploads/solution/681db014-b8b3-4d75-9c5b-0ae33e1c173a/steps_image/small_1586818242.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T011804Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=9189b0be2cffa5bba30a51cde8e3a065e5c58ae08f6d5146c83c1e2292b12091)