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