Question

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

Answer 1

Answer:

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

Step-by-step 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.

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

where,

a=1 and b=3

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

f(3)=-8

f(1)=0

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

$\text{Average rate of change of function}=\dfrac{-8-0}{2}=-4$

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

Answer 2

Answer:

The average rate of change is $-4$

Step-by-step explanation:

we know that

the average rate of change using the graph is equal to

$\frac{f(b)-f(a)}{b-a}$

In this problem we have

$f(a)=f(1)=0$  

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

$a=1$

$b=3$

Substitute

$\frac{-8-0}{3-1}=-4$