find the average rate of change:

Question

f(x)=7x-6
(a,f(a)) and (b,f(b))

Answer 1

Well, with calculus you can look at it and see 7 as the rate of change.
In precal,

avg rate= (f(b)-f(a))/(b-a)=(7b-6-7a+6)/(b-a)= 7 (b-a)/(b-a)=7

Answer 2

by inspection, f(x) is a linear function, with slope = 7
since the slope is constant, the average rate of change is just 7.