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Grade 19 Algebra I
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Exponents and Exponential Functions -Graphing Exponential Functions
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Question: Which of the following functions is not an exponential function?
A )
y
= 4
x
B )
y
= (
1
7
)
x
C )
y
= 5
-
x
D )
y
= (-
6
5
)
x
Steps to derive
1
A function of the type
y
=
a
b
x
, where
b
> 0 is an exponential function
2
The function
y
= 4
x
is in the form of
y
=
a
b
x
where
a
= 1,
b
= 4 > 0.
3
So, it is an exponential function.
4
The function
y
= (
1
7
)
x
is in the form of
y
=
a
b
x
where
a
= 1,
b
=
1
7
> 0.
5
So, it is an exponential function.
6
The function
y
= (5 )
-
x
= (
1
5
)
x
is in the form of
y
=
a
b
x
where
a
= 1,
b
=
1
5
> 0.
7
So, it is an exponential function.
8
The function
y
= (-
6
5
)
x
is not an exponential function since
a
= 1,
b
= -
6
5
< 0.
Hence the right answer is Option D
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