Find the average rate of change

f(x)=x^3-3x+9

(a) from -4 to -3
(b) from -2 to 5
(c) from 5 to 9

avg rate of change is slope of the line connecting the points on the curve at the endpoints of the interval.

evaluate f(x) at the ends of the interval, subtract, and divide by interval length

(a) (f(-3)-f(-4))/(-3-(-4))
(-9-(-43))/1
34