Question

What is the average rate of change of the function f(x)=2^x-3 from x=4 and x=6?

Answer 1

f(x)=2^x-3

f(6) = 2^x-3

f(6) = 2^6-3

f(6) = 64-3 =61

f(4) = 2^ 4-3

f(4) = 16-3

f( 4) = 13

average rate of change = change in f(x)/ change in x

= (61-13) / (6-4)

=48/2

=24