Question

Select the correct answer.

Consider function g.
g(x)= 5/x-1 +2
What is the average rate of change of function gover the interval [-4,3]?
ОА. -7/2
OB. 1/2
OC. -1/2
OD. 2

Answer 1

B

Explanation:

Edmentum

Answer 2

Option B

Explanation:

Average rate of change of a function 'f' in the interval x = a and x = b is given by,

Average rate of change of change =
`(f(b)-f(a))/(b-a)`

Given function is,

g(x) =
`(5)/(x-1)+2`

We have to calculate the rate of change in the interval [-4, 3],

Average rate of change =
`(g(3)-g(-4))/(3-(-4))`

g(3) =
`(5)/(3-1)+1`

= 2.5 + 1

= 3.5

g(-4) =
`(5)/(-4-1)+1`

= -1 + 1

= 0

Average rate of change =
`(3.5-0)/(3+4)`

=
`(3.5)/(7)`

=
`(1)/(2)`

Therefore, Option B will be the answer.