Identifying The Characteristics of Linear and Exponential Functions
Complete the table below. For each function, identify:
The type of function
It's behavior
The rate of change or growth/decay factor
The Vertical Intercept (written as an ordered pair)
Function
Type and Behavior
Slope or Base
Vertical Intercept
p
(
t
)
=
150
(
1.25
)
t
\displaystyle {p}{\left({t}\right)}={150}{\left({1.25}\right)}^{{t}}
p
(
t
)
=
150
(
1.25
)
t
Select an answer
Exponential
Linear
Select an answer
Increasing
Decreasing
Select an answer
Slope
Base
=
g
(
x
)
=
−
22
x
+
200
\displaystyle {g{{\left({x}\right)}}}=-{22}{x}+{200}
g
(
x
)
=
−
22
x
+
200
Select an answer
Exponential
Linear
Select an answer
Increasing
Decreasing
Select an answer
Slope
Base
=
d
(
y
)
=
6
(
4
)
y
\displaystyle {d}{\left({y}\right)}={6}{\left({4}\right)}^{{y}}
d
(
y
)
=
6
(
4
)
y
Select an answer
Exponential
Linear
Select an answer
Increasing
Decreasing
Select an answer
Slope
Base
=
h
(
x
)
=
90
(
0.7
)
x
\displaystyle {h}{\left({x}\right)}={90}{\left({0.7}\right)}^{{x}}
h
(
x
)
=
90
(
0.7
)
x
Select an answer
Exponential
Linear
Select an answer
Increasing
Decreasing
Select an answer
Slope
Base
=
f
(
x
)
=
41
x
−
130
\displaystyle {f{{\left({x}\right)}}}={41}{x}-{130}
f
(
x
)
=
41
x
−
130
Select an answer
Exponential
Linear
Select an answer
Increasing
Decreasing
Select an answer
Slope
Base
=
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