179k views
0 votes
What is the average rate of change of the function f(x)=2(3)^x from x=2 to x=4

User Naan
by
5.6k points

2 Answers

2 votes
Hope it is useful!!!
What is the average rate of change of the function f(x)=2(3)^x from x=2 to x=4-example-1
User Stepan
by
5.6k points
4 votes

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

Explanation:

User Dotixx
by
4.8k points