Question

What is the average rate of change for the function g(x) for the interval [3, 7]? Show all work. g(x)=8x^2-7x+2

Answer 1

Let's see

g(7)

`\\ \rm\rightarrowtail 8(7)^2-7(7)+2=8(49)-49+2=392-47=345`

g(3):-

`\\ \rm\rightarrowtail 8(3)^2-7(3)+2=8(9)-21+2=72-19=53`

Now rate of change:-

`\\ \rm\rightarrowtail (345-53)/(7-3)==(292)/(4)=73`

Answer 2

73

Explanation:

g(x)=8x^2-7x+2

g(3)=8(3)^2-7(3)+2 = 53

g(7)=8(7)^2-7(7)+2 = 345

The average rate of change for the function g(x) for the interval [3, 7] is

= [g(7) - g(3)] / (7 - 3)

= (345 - 53) / 4

= 73