Find the average rate of change of g(x)=−5x2−1𝑔(𝑥)=-5𝑥2-1 on the interval [−1,3][-1,3] .

Question

Find the average rate of change of g(x)=−5x2−1𝑔(𝑥)=-5𝑥2-1 on the interval [−1,3][-1,3] .
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Solution 1

The average rate of change of a function on the interval [a, b] is given by the formula:

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

Here, our function is g(x) = -5x^2 - 1 and our interval is [-1, 3]. So, we need to find g(-1) and g(3).

First, let's find g(-1): g(-1) = -5(-1)^2 - 1 = -5 - 1 = -6

Next, let's find g( Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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