Question

Suppose f is a function whose average value on $[-3,1]$ is

$-2$ and whose average rate of change on the same in-

terval is $4$. Sketch a possible graph for f . Illustrate the

average value and the average rate of change on your

graph of f .

Short answer

The graph is

The function is$f\left(x\right)=4x+2$

Step-by-step solution

Step 1.Given data 

We have to find the possible function from given constraint .

Step 2.We are drawing the possible graph for given constraints 

The possible graph is

$f\left(x\right)=4x+2$

Step 3. Writing the possible function 

The graph has a slope of 4

The rate of change of this graph is 4

The average height of given function is $-2$in given interval$[-3,1]$