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

Answer:

73

Step-by-step 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

Answer 2

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:-

$\\ \rm\rightarrowtail \dfrac{345-53}{7-3}==\dfrac{292}{4}=73$