Question

Let f(x)=√x−4 . What is the average rate of change of f(x) from 8 to 14?

Round your answer to the nearest hundredth.

A. −5.16

B. −0.19

C. 0.19

D. 5.16

Answer 1

C. 0.19 Hope this helps

Answer 2

Answer: C. 0.19

Explanation:

The average rate of change in a function f(x) from x=a to x=b is given by :-

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

Given function,
`f(x)=√(x-4)`

The average rate of change in a function f(x) from x=8 to x=14 is given by :-

`(f(14)-f(8))/(14-8)=(√(14-4)-√(8-4))/(6)\\\\=(√(10)-√(4))/(6)\\\\\approx(3.16-2)/(6)\\\\=(1.16)/(6)=0.193333333333\approx0.19`

Thus , the average rate of change of f(x) from 8 to 14 is 0.19. (approx)

Hence, the correct option is C. 0.19 .