have eauation g(x)=3x^2-6 and have to find average rate of change from -1 to 6?

Question

g(x)=3x^2-6

Find the average rate of change from -1 to 6

Answer 1

Given function g(x) = 3x^2-6

a = -1,b = 6

g(-1) = 3(-1)^2-6

= 3-6

g(-1) = -3

g(6) = 3(6)^2-6

= 3(36)-6

= 108-6

g(6) = 102

Average rate of change = g(b)-g(a)/b-a

= [102-(-3)]/[6-(-1)]

= (102+3)/(6+1)

= 105/7

= 15

Average rate of change of g(x) = 3x^2-6 is 15.