Question

What is the average rate of change for this quadratic function for the interval from x=1 to x=3?

Answer 1

The average rate of change of function is -4 in [1,3]

Explanation:

The average rate of change for graphic quadratic function for the interval from x=1 to x=3

The average rate of change of a function is change y over change in x.

`\text{Average rate of change of function}=(f(b)-f(a))/(b-a)`

where,

a=1 and b=3

Using graph we will find f(1) and f(3)

f(3)=-8

f(1)=0

`\text{Average rate of change of function}=(f(3)-f(1))/(3-1)`

`\text{Average rate of change of function}=(-8-0)/(2)=-4`

Hence, The average rate of change of function is -4 in [1,3]

Answer 2

The average rate of change is
`-4`

Explanation:

we know that

the average rate of change using the graph is equal to

`(f(b)-f(a))/(b-a)`

In this problem we have

`f(a)=f(1)=0`

`f(b)=f(3)=-8`

`a=1`

`b=3`

Substitute

`(-8-0)/(3-1)=-4`