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

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

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2