Question 1

Graph the function.
-$f(x)=4^{(x-1)}-1$

A) 
B) 
C) 
D)

Accepted Answer

A

Question 2

Graph the function.
-$f(x)=3 e^{-x}$

A)

B)

C)

D)

Accepted Answer

D

Question 3

Graph the function.
-$f ( x ) = 2 \cdot 0.7 ^ { 4 x }$

A) 
B) 
C) 
D)

Accepted Answer

D

Question 4

Determine whether or not the given function is an exponential function.
-$y = e ^ { x ^ { 7 + 2 x } }$
A) exponential
B) not exponential

Accepted Answer

The function is exponential because it is in the form y = e^x, where x is raised to a power.

Question 5

Graph the function.
-$y=5(x-4)+2$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-$y=5(x-4)+2$

A) 
B) 
C) 
D) ...

Question 6

Determine if the function is a growth exponential or a decay exponential.
-$y = 3 ^ { 0.7 x }$
A) Growth
B) Decay

Accepted Answer

The function $y = 3 ^ { 0.7 x }$ is a growth exponential because the base of the exponent, 3, is greater than 1, indicating that the function increases as $x$ increases.

Question 7

Determine whether or not the given function is an exponential function.
-$y = 4 ^ { x }$
A) exponential
B) not exponential

Accepted Answer

The function $y = 4^x$ is an exponential function because the variable $x$ is in the exponent of a constant base (4).

Question 8

Determine whether or not the given function is an exponential function.
-$y = x ^ { 5 }$
A) exponential
B) not exponential

Accepted Answer

The given function $y = x^5$ is not an exponential function because in an exponential function, the variable must be in the exponent, not the base.

Question 9

Determine if the function is a growth exponential or a decay exponential.
-$y = 9 e ^ { - 9 x }$
A) Growth
B) Decay

Accepted Answer

The function $y = 9 e ^ { - 9 x }$ is a decay exponential because the exponent of $e$ is negative, indicating that the function decreases as $x$ increases.

Question 10

Determine if the function is a growth exponential or a decay exponential.
-$y = 0.2 ^ { 7 x }$
A) Growth
B) Decay

Accepted Answer

The function $y = 0.2 ^ { 7 x }$ is a decay exponential because the base of the exponent, 0.2, is between 0 and 1, indicating that the function decreases as x increases.

Question 11

Graph the function.
-$f(x)=4^{-x}$

A)

B)

C)

D)

Accepted Answer

The answer of Graph the function.
-$f(x)=4^{-x}$

A)

B)

C)

D)

...

Question 12

Determine whether or not the given function is an exponential function.
-y $= 3 x - 5$
A) exponential
B) not exponential

Accepted Answer

The function $y = 3x - 5$ is not an exponential function because in an exponential function, the variable appears in the exponent, not as the base. This function is a linear function.

Question 13

Graph the function.
-$f(x)=\left(\frac{1}{4}\right)^{x}$

A)

B)

C)

D)

Accepted Answer

The answer of Graph the function.
-$f(x)=\left(\frac{1}{4}\right)^{x}$

A)

B)

C)

D)

...

Question 14

Graph the function.
-$f(x)=2^{x}$

A)

B)
 
C)

D)

Accepted Answer

The answer of Graph the function.
-$f(x)=2^{x}$

A)

B)
 
C)

D)

...

Question 15

Determine whether or not the given function is an exponential function.
-$y = 6 x ^ { e }$
A) exponential
B) not exponential

Accepted Answer

An exponential function has the form $f(x) = ab^x$, where $a$ and $b$ are constants, and $x$ is the exponent. In the given function $y = 6x^e$, the variable $x$ is the base and $e$ (Euler's number) is the exponent, which does not match the form of an exponential function.

Question 16

Graph the function.
-$$f ( x ) = - 4 ^ { x }$$

A)

B)

C)

D)

Accepted Answer

The answer of Graph the function.
-\[f ( x ) =...

Question 17

Determine whether or not the given function is an exponential function.
-$y = x ^ { 7 } + 9 x$
A) exponential
B) not exponential

Accepted Answer

An exponential function is of the form $f(x) = a \cdot b^x$, where $a$ and $b$ are constants, and $b$ is positive. The given function $y = x^7 + 9x$ is a polynomial, not an exponential function, because the variable $x$ is in the exponent in an exponential function, whereas here it is the base being raised to a constant power.

Question 18

Graph the function.
-$f ( x ) = e ^ { 3 x } - 3$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-\(f ( x ) =...

Question 19

Determine if the function is a growth exponential or a decay exponential.
-$y = 2 ^ { - 1.3 x }$
A) Growth
B) Decay

Accepted Answer

The function $y = 2 ^ { - 1.3 x }$ is a decay exponential because the exponent is negative, which means the function decreases as $x$ increases.

Question 20

Graph the function.
-$f(x)=2(x-3)$

A)

B)

C)

D)

Accepted Answer

The answer of Graph the function.
-$f(x)=2(x-3)$

A)

B)

C)

D)

...

Quiz 5: Exponential and Logarithmic Functions

Graph the function. - $f(x) =4^{(x-1) }-1$ $Graph the function. - f(x) =4^{(x-1) }-1 A) B) C) D)$

Graph the function. - $f(x) =3 e^{-x}$ $Graph the function. - f(x) =3 e^{-x} A) B) C) D)$

Graph the function. - $f ( x ) = 2 \cdot 0.7 ^ { 4 x }$ $Graph the function. - f ( x ) = 2 \cdot 0.7 ^ { 4 x } A) B) C) D)$

Determine whether or not the given function is an exponential function. - $y = e ^ { x ^ { 7 + 2 x } }$

Graph the function. - $y=5(x-4) +2$

Determine if the function is a growth exponential or a decay exponential. - $y = 3 ^ { 0.7 x }$

Determine whether or not the given function is an exponential function. - $y = 4 ^ { x }$

Determine whether or not the given function is an exponential function. - $y = x ^ { 5 }$

Determine if the function is a growth exponential or a decay exponential. - $y = 9 e ^ { - 9 x }$

Determine if the function is a growth exponential or a decay exponential. - $y = 0.2 ^ { 7 x }$

Graph the function. - $f(x) =4^{-x}$ $Graph the function. - f(x) =4^{-x} A) B) C) D)$

Determine whether or not the given function is an exponential function. -y $= 3 x - 5$

Graph the function. - $f(x) =\left(\frac{1}{4}\right) ^{x}$ $Graph the function. - f(x) =\left(\frac{1}{4}\right) ^{x} A) B) C) D)$

Graph the function. - $f(x) =2^{x}$ $Graph the function. - f(x) =2^{x} A) B) C) D)$

Determine whether or not the given function is an exponential function. - $y = 6 x ^ { e }$

Graph the function. - $f ( x ) = - 4 ^ { x }$ $Graph the function. - f ( x ) = - 4 ^ { x } A) B) C) D)$

Determine whether or not the given function is an exponential function. - $y = x ^ { 7 } + 9 x$

Graph the function. - $f ( x ) = e ^ { 3 x } - 3$ $Graph the function. - f ( x ) = e ^ { 3 x } - 3 A) B) C) D)$

Determine if the function is a growth exponential or a decay exponential. - $y = 2 ^ { - 1.3 x }$

Graph the function. - $f(x) =2(x-3)$

Quiz 5: Exponential and Logarithmic Functions

Graph the function. - f(x) =4(x−1) −1f(x) =4^{(x-1) }-1f(x) =4(x−1) −1

Graph the function. - f(x) =3e−xf(x) =3 e^{-x}f(x) =3e−x

Graph the function. - f(x) =2⋅0.74xf ( x ) = 2 \cdot 0.7 ^ { 4 x }f(x) =2⋅0.74x

Determine whether or not the given function is an exponential function. - y=ex7+2xy = e ^ { x ^ { 7 + 2 x } }y=ex7+2x

Graph the function. - y=5(x−4) +2y=5(x-4) +2y=5(x−4) +2

Determine if the function is a growth exponential or a decay exponential. - y=30.7xy = 3 ^ { 0.7 x }y=30.7x

Determine whether or not the given function is an exponential function. - y=4xy = 4 ^ { x }y=4x

Determine whether or not the given function is an exponential function. - y=x5y = x ^ { 5 }y=x5

Determine if the function is a growth exponential or a decay exponential. - y=9e−9xy = 9 e ^ { - 9 x }y=9e−9x

Determine if the function is a growth exponential or a decay exponential. - y=0.27xy = 0.2 ^ { 7 x }y=0.27x

Graph the function. - f(x) =4−xf(x) =4^{-x}f(x) =4−x

Determine whether or not the given function is an exponential function. -y =3x−5= 3 x - 5=3x−5

Graph the function. - f(x) =(14) xf(x) =\left(\frac{1}{4}\right) ^{x}f(x) =(41​) x

Graph the function. - f(x) =2xf(x) =2^{x}f(x) =2x

Determine whether or not the given function is an exponential function. - y=6xey = 6 x ^ { e }y=6xe

Graph the function. - f(x) =−4xf ( x ) = - 4 ^ { x }f(x) =−4x

Determine whether or not the given function is an exponential function. - y=x7+9xy = x ^ { 7 } + 9 xy=x7+9x

Graph the function. - f(x) =e3x−3f ( x ) = e ^ { 3 x } - 3f(x) =e3x−3

Determine if the function is a growth exponential or a decay exponential. - y=2−1.3xy = 2 ^ { - 1.3 x }y=2−1.3x

Graph the function. - f(x) =2(x−3) f(x) =2(x-3) f(x) =2(x−3)

Graph the function. - $f(x) =4^{(x-1) }-1$ $Graph the function. - f(x) =4^{(x-1) }-1 A) B) C) D)$

Graph the function. - $f(x) =3 e^{-x}$ $Graph the function. - f(x) =3 e^{-x} A) B) C) D)$

Graph the function. - $f ( x ) = 2 \cdot 0.7 ^ { 4 x }$ $Graph the function. - f ( x ) = 2 \cdot 0.7 ^ { 4 x } A) B) C) D)$

Determine whether or not the given function is an exponential function. - $y = e ^ { x ^ { 7 + 2 x } }$

Graph the function. - $y=5(x-4) +2$

Determine if the function is a growth exponential or a decay exponential. - $y = 3 ^ { 0.7 x }$

Determine whether or not the given function is an exponential function. - $y = 4 ^ { x }$

Determine whether or not the given function is an exponential function. - $y = x ^ { 5 }$

Determine if the function is a growth exponential or a decay exponential. - $y = 9 e ^ { - 9 x }$

Determine if the function is a growth exponential or a decay exponential. - $y = 0.2 ^ { 7 x }$

Graph the function. - $f(x) =4^{-x}$ $Graph the function. - f(x) =4^{-x} A) B) C) D)$

Determine whether or not the given function is an exponential function. -y $= 3 x - 5$

Graph the function. - $f(x) =\left(\frac{1}{4}\right) ^{x}$ $Graph the function. - f(x) =\left(\frac{1}{4}\right) ^{x} A) B) C) D)$

Graph the function. - $f(x) =2^{x}$ $Graph the function. - f(x) =2^{x} A) B) C) D)$

Determine whether or not the given function is an exponential function. - $y = 6 x ^ { e }$

Graph the function. - $f ( x ) = - 4 ^ { x }$ $Graph the function. - f ( x ) = - 4 ^ { x } A) B) C) D)$

Determine whether or not the given function is an exponential function. - $y = x ^ { 7 } + 9 x$

Graph the function. - $f ( x ) = e ^ { 3 x } - 3$ $Graph the function. - f ( x ) = e ^ { 3 x } - 3 A) B) C) D)$

Determine if the function is a growth exponential or a decay exponential. - $y = 2 ^ { - 1.3 x }$

Graph the function. - $f(x) =2(x-3)$