What is the average rate of change of the function f(x)=2(3)^x from x=2 to x=4

Answer:

Use the slope formula to find the average rate of change:

m =y

2

−

y

1

x

2

−

x

1

m

=

f

(

4

)

−

f

(

2

)

4

−

2

To simplify this, we need to find values of

f

(

4

)

and

f

(

2

)

:

f

(

4

)

=

2

(

3

)

4

=

2

(

81

)

=

162

f

(

2

)

=

2

(

3

)

2

=

2

(

9

)

=

18

m

=

162

−

18

2

m

=

144

2

m

=

72

Step-by-step explanation:

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