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Calculate the average rate of change of the function f(x) = 3x2 over the interval 1 ≤ x ≤ 5. A) 4 B) 18 C) 36 D) 48
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Calculate the average rate of change of the function f(x) = 3x2 over the interval 1 ≤ x ≤ 5.

A) 4
B) 18
C) 36
D) 48

User Niklasae
by
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2 Answers

7 votes

Answer:B) 18

Explanation:

User Marylyn
by
5.8k points
6 votes
we have that
f(x) = 3x² over the interval 1 ≤ x ≤ 5

for x=1
f(1)=3*1²-----> f(1)=3

for x=5
f(5)=3*5²-----> f(5)=75

[the average rate of change]=[f(5)-f(1)]/[5-1]-----> [75-3]/[4]---> 18

the answer is
18
User Saprina
by
6.1k points
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