Average rate of change f(x)=x^{2}-3x from x=-3 to x=-1

Elleanor Mckenzie

Elleanor Mckenzie

Answered question

2021-09-23

Average rate of change f(x)=x23x from x=3 to x=1

Answer & Explanation

Jozlyn

Jozlyn

Skilled2021-09-24Added 85 answers

Given: The function f is given as f(x)=x23x, x values are given as x=3,x=1
We have to find the average rate of change of 'f' between x=3 and x=1.

For that initially we have to find f(x) for x=3 and x=1. Then we have to find the average rate of change of f(x) between x=3 and x=1.
Formula used:
A(x)=f(x2)f(x1)x2x1
Calculation:
Descriptionf(x)=x23xStep 1: Substitute x=3 in f(x)f(3)=(33(3)=9+9 =18Step 2:Substitute x=1 in f(x)f(1)=(13(1)=1+3 =4Step 2: Substitute the values off(3)andf(1)in the average rate of change formula to find the final answer.A(x)=f(x2)f(x1)x2x1A(x)=f(1)f(3)1(3)=4181+3A(x)=4181+3=142=7A(x)=7
Conclusion: Average rate of change of f(x)=x23x from x=3 to x=1 is equal to -7.

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