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1 year ago

What is the average rate of change of g(x)=x^2 on the interval 3≤x≤9

Mathematics

1 answer:

Aleks04 [339]1 year ago

6 0

The average rate of change of g(x)=x^2 on the interval 3≤x≤9 is 12

In this question, we have been given a function g(x)=x^2

We need to find the average rate of change of function on the interval 3 ≤ x ≤ 9

For x = 3,

g(3) = 3^2

g(3) = 9

and for x = 9,

g(9) = 9^2

g(9) = 81

So, the average rate of change would be,

g(9) - g(3) / [9 - 3]

= (81 - 9) / 6

= 72/6

= 12

Therefore, the average rate of change of g(x)=x^2 on the interval 3≤x≤9 is 12

Learn more about the average rate of change here:

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