Decomposing Exponential Functions
Given the Exponential Function, determine the Initial Value and Rate of Change as a Percent for each of the following.
Initial Value
Growth or Decay Rate as a %
Exponential Function
%
Select an answer
Decay
Growth
h
(
x
)
=
3530
(
1.035
)
x
\displaystyle {h}{\left({x}\right)}={3530}{\left({1.035}\right)}^{{x}}
h
(
x
)
=
3530
(
1.035
)
x
%
Select an answer
Growth
Decay
d
(
t
)
=
3965
(
0.96
)
t
\displaystyle {d}{\left({t}\right)}={3965}{\left({0.96}\right)}^{{t}}
d
(
t
)
=
3965
(
0.96
)
t
%
Select an answer
Growth
Decay
f
(
x
)
=
545
(
1.2
)
x
\displaystyle {f{{\left({x}\right)}}}={545}{\left({1.2}\right)}^{{x}}
f
(
x
)
=
545
(
1.2
)
x
%
Select an answer
Growth
Decay
f
(
x
)
=
3539
(
0.86
)
x
\displaystyle {f{{\left({x}\right)}}}={3539}{\left({0.86}\right)}^{{x}}
f
(
x
)
=
3539
(
0.86
)
x
%
Select an answer
Decay
Growth
p
(
t
)
=
4929
(
4
)
t
\displaystyle {p}{\left({t}\right)}={4929}{\left({4}\right)}^{{t}}
p
(
t
)
=
4929
(
4
)
t
%
Select an answer
Decay
Growth
g
(
x
)
=
4158
(
1.06
)
x
\displaystyle {g{{\left({x}\right)}}}={4158}{\left({1.06}\right)}^{{x}}
g
(
x
)
=
4158
(
1.06
)
x
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