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Calculate the average rate of change of f(x) =x^2/4 - 5 for 3 ≤ x ≤ 5

User Induane
by
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2 Answers

7 votes
if you do all the work,you will get 2 which is the answer
User Yogesh Ralebhat
by
7.2k points
5 votes

Answer:

2

Explanation:

Average rate of change of a function between x=a and x=b is:

[ f(b) − f(a) ] / (b − a)

On the interval 3 ≤ x ≤ 5:

[ f(5) − f(3) ] / (5 − 3)

[ (5²/4 − 5) − (3²/4 − 5) ] / (5 − 3)

(25/4 − 5 − 9/4 + 5) / (5 − 3)

(25/4 − 9/4) / (5 − 3)

(16/4) / 2

2

User Anurag Ranjan
by
7.8k points

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