Question

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

Answer 1

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

Answer 2

Answer:B) 18

Step-by-step explanation: