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

What is the average rate of change for this quadratic function for the interval from-example-1

2 Answers

2 votes

Answer:

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]

User Patrics
by
7.9k points
4 votes

Answer:

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

User Tianyi Cui
by
8.1k points

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