Question 1

The graph of an exponential function is given. Select the function for the graph from the functions listed.
-
A) $f ( x ) = 2 ^ { - x }$
B) $f ( x ) = 2 ^ { x }$
C) $f ( x ) = - 2 ^ { - x }$
D) $f ( x ) = - 2 ^ { x }$

Accepted Answer

D

Question 2

Graph the function.
-Use the graph of $f ( x ) = 3 ^ { x }$ to obtain the graph of $g ( x ) = 3 ^ { x } - 1$.

A)

B)

C)

D)

Accepted Answer

D

Question 3

Approximate the number using a calculator. Round your answer to three decimal places.
-$2 ^ { 1.7 }$
A) $3.549$
B) $3.249$
C) $3.400$
D) $2.890$

Accepted Answer

B

Question 4

Solve the problem.
-The function $\mathrm { f } ( \mathrm { x } ) = 600 ( 0.5 ) ^ { \mathrm { x } / 80 }$ models the amount in pounds of a particular radioactive material stored in a concrete vault, where $x$ is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 140 years. Round to the nearest whole number.
A) 404 pounds
B) 178 pounds
C) 171 pounds
D) 525 pounds

Accepted Answer

The answer of Solve the problem.
-The function \(\mathrm { f...

Question 5

Graph the function.
-Use the graph of $f ( x ) = 2 ^ { x }$ to obtain the graph of $g ( x ) = 2 ^ { x - 3 }$

A)

B)

C)

D)

Accepted Answer

The answer of Graph the function.
-Use the graph of \(f...

Question 6

The graph of an exponential function is given. Select the function for the graph from the functions listed.
-
A) $f ( x ) = - 4 ^ { - x }$
B) $f ( x ) = 4 ^ { - x }$
C) $f ( x ) = 4 ^ { x }$
D) $f ( x ) = - 4 ^ { x }$

Accepted Answer

The answer of The graph of an exponential function is...

Question 7

Solve the problem.
-The formula $S = A \left( \frac { ( 1 + r ) ^ { t + 1 } - 1 } { r } \right)$ models the value of a retirement account, where $A =$ the number of dollars added to the retirement account each year, $r =$ the annual interest rate, and $\mathrm { S } =$ the value of the retirement iccount after t years. If the interest rate is $6 \%$, how much will the account be worth after 10 years if $\$ 1600$ is added each year? Round to the nearest whole number.
A) $\$ 23,955$
B) $\$ 31,519$
C) $\$ 3021$
D) $\$ 17,600$

Accepted Answer

The formula given is for the future value of a series of annuity payments. Plugging in the values $A = 1600$, $r = 0.06$, and $t = 10$, we calculate $S = 1600 \left( \frac{(1 + 0.06)^{10 + 1} - 1}{0.06} \right)$, which approximates to $\$23,955$, rounding to the nearest whole number.

Question 8

Approximate the number using a calculator. Round your answer to three decimal places.
-$2 ^{- 3.3}$
A) $0.102$
B) $- 6.600$
C) $0.402$
D) $10.890$

Accepted Answer

Using a calculator to compute $2^{-3.3}$ and rounding to three decimal places gives approximately 0.102.

Question 9

The graph of an exponential function is given. Select the function for the graph from the functions listed.
-
A) $f ( x ) = 3 ^ { x } + 2$
B) $f ( x ) = 3 ^ { x }$
C) $f ( x ) = 3 ^ { x } - 2$
D) $f ( x ) = 3 ^ { x - 2 }$

Accepted Answer

The answer of The graph of an exponential function is...

Question 10

Graph the function by making a table of coordinates
-$f(x)=\left(\frac{1}{3}\right)^{x}$
A)

B)

C)

D)

Accepted Answer

The answer of Graph the function by making a table...

Question 11

The graph of an exponential function is given. Select the function for the graph from the functions listed.
-
A) $f ( x ) = 2 ^ { x + 1 }$
B) $f ( x ) = 2 ^ { x } - 1$
C) $f ( x ) = 2 ^ { x }$
D) $f ( x ) = 2 ^ { x } + 1$

Accepted Answer

The answer of The graph of an exponential function is...

Question 12

Approximate the number using a calculator. Round your answer to three decimal places.
-$2^{ \sqrt { 7 }}$
A) $64.000$
B) $6.258$
C) $5.292$
D) $7.000$

Accepted Answer

Using a calculator to approximate $2^{\sqrt{7}}$ and rounding to three decimal places gives approximately 6.258.

Question 13

Solve the problem.
-A city is growing at the rate of $0.9 \%$ annually. If there were $3,619,000$ residents in the city in 1994 , find how many (to the nearest ten-thousand) are living in that city in 2000 . Use $y = 3,619,000 ( 2.7 ) { } ^ { 0.009 t }$.
A) $9,770,000$
B) $3,850,000$
C) 530,000
D) $3,820,000$

Accepted Answer

The answer of Solve the problem.
-A city is growing at...

Question 14

Graph the function by making a table of coordinates
-$$f ( x ) = 0.3 ^ { x }$$

A)

B)

C)

D)

Accepted Answer

The answer of Graph the function by making a table...

Question 15

The graph of an exponential function is given. Select the function for the graph from the functions listed.
-
A) $f ( x ) = - 5 ^ { x }$
B) $f ( x ) = 5 ^ { - x }$
C) $f ( x ) = - 5 ^ { - x }$
D) $f ( x ) = 5 ^ { x }$

Accepted Answer

The answer of The graph of an exponential function is...

Question 16

Solve the problem.
-The rabbit population in a forest area grows at the rate of $5 \%$ monthly. If there are 150 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use $y = 150 ( 2.7 ) ^ { 0.05 t }$.
A) 259
B) 272
C) 243
D) 285

Accepted Answer

The given formula for the rabbit population growth is $y = 150(2.7)^{0.05t}$, where $t$ is the time in months. To find the population after one year (12 months), substitute $t = 12$ into the formula: $y = 150(2.7)^{0.05 \times 12}$. Simplifying this gives $y = 150(2.7)^{0.6}$. Calculating this value gives approximately 272 rabbits. Therefore, by next September, the rabbit population is expected to be around 272, rounded to the nearest whole number.

Question 17

Graph the function by making a table of coordinates
-$$f ( x ) = 4 ^ { x }$$

A)

B)

C)

D)

Accepted Answer

The answer of Graph the function by making a table...

Question 18

Graph the function by making a table of coordinates
-$f(x)=\left(\frac{4}{3}\right)^{x}$

A)

B)

C)

D)

Accepted Answer

The answer of Graph the function by making a table...

Question 19

The graph of an exponential function is given. Select the function for the graph from the functions listed.
-
A) $f ( x ) = 3 ^ { x } + 1$
B) $f ( x ) = 3 ^ { x }$
C) $f ( x ) = 3 ^ { x } - 1$
D) $f ( x ) = 3 ^ { x - 1 }$

Accepted Answer

The answer of The graph of an exponential function is...

Question 20

Approximate the number using a calculator. Round your answer to three decimal places.
-$2.4 ^ { \pi }$
A) $15.648$
B) $15.601$
C) $36.462$
D) $7.540$

Accepted Answer

Using a calculator to approximate $2.4 ^ { \pi }$ and rounding to three decimal places gives approximately 15.648.

Quiz 4: Exponential and Logarithmic Functions

Graph the function. -Use the graph of $f ( x ) = 3 ^ { x }$ to obtain the graph of $g ( x ) = 3 ^ { x } - 1$ . $Graph the function. -Use the graph of f ( x ) = 3 ^ { x } to obtain the graph of g ( x ) = 3 ^ { x } - 1 . A) B) C) D)$

Approximate the number using a calculator. Round your answer to three decimal places. - $2 ^ { 1.7 }$

Graph the function. -Use the graph of $f ( x ) = 2 ^ { x }$ to obtain the graph of $g ( x ) = 2 ^ { x - 3 }$ $Graph the function. -Use the graph of f ( x ) = 2 ^ { x } to obtain the graph of g ( x ) = 2 ^ { x - 3 } A) B) C) D)$

Approximate the number using a calculator. Round your answer to three decimal places. - $2 ^{- 3.3}$

Graph the function by making a table of coordinates - $f(x) =\left(\frac{1}{3}\right) ^{x}$

Approximate the number using a calculator. Round your answer to three decimal places. - $2^{ \sqrt { 7 }}$

Solve the problem. -A city is growing at the rate of $0.9 \%$ annually. If there were $3,619,000$ residents in the city in 1994 , find how many (to the nearest ten-thousand) are living in that city in 2000 . Use $y = 3,619,000 ( 2.7 ) { } ^ { 0.009 t }$ .

Graph the function by making a table of coordinates - $f ( x ) = 0.3 ^ { x }$ $Graph the function by making a table of coordinates - f ( x ) = 0.3 ^ { x } A) B) C) D)$

Solve the problem. -The rabbit population in a forest area grows at the rate of $5 \%$ monthly. If there are 150 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use $y = 150 ( 2.7 ) ^ { 0.05 t }$ .

Graph the function by making a table of coordinates - $f ( x ) = 4 ^ { x }$ $Graph the function by making a table of coordinates - f ( x ) = 4 ^ { x } A) B) C) D)$

Graph the function by making a table of coordinates - $f(x) =\left(\frac{4}{3}\right) ^{x}$ $Graph the function by making a table of coordinates - f(x) =\left(\frac{4}{3}\right) ^{x} A) B) C) D)$

Approximate the number using a calculator. Round your answer to three decimal places. - $2.4 ^ { \pi }$

Quiz 4: Exponential and Logarithmic Functions

The graph of an exponential function is given. Select the function for the graph from the functions listed. -

Graph the function. -Use the graph of f(x) =3xf ( x ) = 3 ^ { x }f(x) =3x to obtain the graph of g(x) =3x−1g ( x ) = 3 ^ { x } - 1g(x) =3x−1 .

Approximate the number using a calculator. Round your answer to three decimal places. - 21.72 ^ { 1.7 }21.7

Graph the function. -Use the graph of f(x) =2xf ( x ) = 2 ^ { x }f(x) =2x to obtain the graph of g(x) =2x−3g ( x ) = 2 ^ { x - 3 }g(x) =2x−3

The graph of an exponential function is given. Select the function for the graph from the functions listed. -

Approximate the number using a calculator. Round your answer to three decimal places. - 2−3.32 ^{- 3.3}2−3.3

The graph of an exponential function is given. Select the function for the graph from the functions listed. -

Graph the function by making a table of coordinates - f(x) =(13) xf(x) =\left(\frac{1}{3}\right) ^{x}f(x) =(31​) x

The graph of an exponential function is given. Select the function for the graph from the functions listed. -

Approximate the number using a calculator. Round your answer to three decimal places. - 272^{ \sqrt { 7 }}27​

Graph the function by making a table of coordinates - f(x) =0.3xf ( x ) = 0.3 ^ { x }f(x) =0.3x

The graph of an exponential function is given. Select the function for the graph from the functions listed. -

Graph the function by making a table of coordinates - f(x) =4xf ( x ) = 4 ^ { x }f(x) =4x

Graph the function by making a table of coordinates - f(x) =(43) xf(x) =\left(\frac{4}{3}\right) ^{x}f(x) =(34​) x

The graph of an exponential function is given. Select the function for the graph from the functions listed. -

Approximate the number using a calculator. Round your answer to three decimal places. - 2.4π2.4 ^ { \pi }2.4π

Graph the function. -Use the graph of $f ( x ) = 3 ^ { x }$ to obtain the graph of $g ( x ) = 3 ^ { x } - 1$ . $Graph the function. -Use the graph of f ( x ) = 3 ^ { x } to obtain the graph of g ( x ) = 3 ^ { x } - 1 . A) B) C) D)$

Approximate the number using a calculator. Round your answer to three decimal places. - $2 ^ { 1.7 }$

Graph the function. -Use the graph of $f ( x ) = 2 ^ { x }$ to obtain the graph of $g ( x ) = 2 ^ { x - 3 }$ $Graph the function. -Use the graph of f ( x ) = 2 ^ { x } to obtain the graph of g ( x ) = 2 ^ { x - 3 } A) B) C) D)$

Approximate the number using a calculator. Round your answer to three decimal places. - $2 ^{- 3.3}$

Graph the function by making a table of coordinates - $f(x) =\left(\frac{1}{3}\right) ^{x}$

Approximate the number using a calculator. Round your answer to three decimal places. - $2^{ \sqrt { 7 }}$

Graph the function by making a table of coordinates - $f ( x ) = 0.3 ^ { x }$ $Graph the function by making a table of coordinates - f ( x ) = 0.3 ^ { x } A) B) C) D)$

Graph the function by making a table of coordinates - $f ( x ) = 4 ^ { x }$ $Graph the function by making a table of coordinates - f ( x ) = 4 ^ { x } A) B) C) D)$

Graph the function by making a table of coordinates - $f(x) =\left(\frac{4}{3}\right) ^{x}$ $Graph the function by making a table of coordinates - f(x) =\left(\frac{4}{3}\right) ^{x} A) B) C) D)$

Approximate the number using a calculator. Round your answer to three decimal places. - $2.4 ^ { \pi }$