Find the average rate of change of the given function betwee

Find the average rate of change of the given function between the following pairs of x-values. (Round your answers to four decimal places.)

f(x) = 4 x

for the following:

(a) x = 4 and x = 6

(b) x = 4 and x = 5

(d) x = 4 and x = 4.1

(e) x = 4 and x = 4.01

(f) What number do your answers seem to be approaching?

average rate of change of f(x) in [a,b] is [f(b)-f(a)]/(b-a)

f(x) = 4 x

(a) x = 4 and x = 6

average rate of change =[46 -44]/(6-4) =0.8990

(b) x = 4 and x = 5

average rate of change =[45 -44]/(5-4) =0.9443

average rate of change =[44.5 -44]/(4.5-4) =0.9706

(d) x = 4 and x = 4.1

average rate of change =[44.1 -44]/(4.1-4) =0.9938

(e) x = 4 and x = 4.01

average rate of change =[44.01 -44]/(4.01-4) =0.9994

(f) answers are approaching number 1