Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1

Hence, average rate of change of from x=−2 to x=6 i.e. over the interval [−2,6] for y=f(x)=12x2 is given rate of change=f(6)−f(−2)6−(−2)

As f(−2)=12(−2)2=2 and f(6)=12(6)2= rate of change=18−28=162=2

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are