Question 1

Match the equation with its graph.
-$$y = 4 ( x - 3 )$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 2

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

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Charles wants to retire in 17 years. At that time he wants to be able to withdraw $22,000 at the end of each year for 19 years. Assume that money can be deposited at 12% per year compounded annually. What exact amount
Will Charles need in 17 years?

Accepted Answer

A)  $164,327.68 
B)  $204,619.58 
C)  $159,492.74 
D)  $162,047.16 
A)  $164,327.68 
B)  $204,619.58 
C)  $159,492.74 
D)  $162,047.16

Question 4

Provide an appropriate response.
-Is the logarithm to the base 6 of 3 written a $\text { "logog } 6 " \text { or"log } 63$ ?"

Accepted Answer

The answer of Provide an appropriate response.
-Is the logarithm to...

Question 5

The number of visitors to a tourist attraction (for the first few years after its opening) can be approximated by $V ( x ) = 50 + 10 \log _ { 2 } x$ where x represents the number of months after the opening of the attraction. Find the number of visitors 32 months after the opening of the attraction.

Accepted Answer

A)  370 visitors 
B)  55 visitors 
C)  82 visitors 
D)  100 visitors 
A)  370 visitors 
B)  55 visitors 
C)  82 visitors 
D)  100 visitors

Question 6

Match the equation with its graph.
-$$y = - 3 ^ { x }$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 7

Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places.
- 198+4 log x=170

Accepted Answer

A)   -107 
B)   10-7 
C)  no solution 
D)   -70 
A)   -107 
B)   10-7 
C)  no solution 
D)   -70

Question 8

Barry Newman's savings account has a balance of $1541. After 17 years, what will the amount of interest be at 6% compounded annually?

Accepted Answer

A)  $2608.56 
B)  $2599.56 
C)  $924.60 
D)  $2613.56 
A)  $2608.56 
B)  $2599.56 
C)  $924.60 
D)  $2613.56

Question 9

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 10

Felipe Rivera's savings account has a balance of $2238. After 3 years what will the amount of interest be at 6% compounded quarterly?

Accepted Answer

A)  $428.79 
B)  $437.79 
C)  $67.14 
D)  $442.79 
A)  $428.79 
B)  $437.79 
C)  $67.14 
D)  $442.79

Question 11

The logarithmic functio $f ( x ) = - 200 + 88 \ln x$ n x models the number of visitors (in millions) to U.S. museums from 1960 to 2010, where x is the number of years since 1960. Is this function increasing or decreasing?

Accepted Answer

A)  decreasing 
B)  increasing 
A)  decreasing 
B)  increasing

Question 12

Find f(1) if $$f ( x ) = \left\{ \begin{array} { l l } 
100 & \text { if } 0 \leq x \leq 1 \
200 & \text { if } 1 < x < 2 \
300 & \text { if } 2 \leq x < 3 \
400 & \text { if } 3 \leq x \leq 4
\end{array} \right.$$

Accepted Answer

A)  200 
B)  100 
C)  300 
D)  400 
A)  200 
B)  100 
C)  300 
D)  400

Question 13

The logarithmic functio $f ( x ) = - 100 + 80 \ln x$ ln x models the number of visitors (in millions) to a certain country's museums, where x is the number of years since the initial recording of the number of visitors. Use this function
To estimate the number of visitors in year 45. Round to the nearest tenth of a year.

Accepted Answer

A)  306.8 million visitors 
B)  102.3 million visitors 
C)  204.5 million visitors 
D)  153.4 million visitors 
A)  306.8 million visitors 
B)  102.3 million visitors 
C)  204.5 million visitors 
D)  153.4 million visitors

Question 14

Write in logarithmic form.
-$10 ^ { - 5 } = 0.00001$

Accepted Answer

A)  $\log _ { 5 } .10 = - 5$ 
B)  $\log _ { 10 } 0.00001 = - 5$ 
C)  $\log _ { 10 } - 5 = 0.00001$ 
D)  $\log _ { 5 } - 5 = .10$ 
A)  $\log _ { 5 } .10 = - 5$ 
B)  $\log _ { 10 } 0.00001 = - 5$ 
C)  $\log _ { 10 } - 5 = 0.00001$ 
D)  $\log _ { 5 } - 5 = .10$

Question 15

Write the logarithmic equation in exponential form.
-$y = \log ( 2 x )$

Accepted Answer

A)  $y ^ { 10 } = 2 x$ 
B)  $10 y = 2 x$ 
C)  $2 x y = 10$ 
D)  $10 ^ { 2 x } = y$ 
A)  $y ^ { 10 } = 2 x$ 
B)  $10 y = 2 x$ 
C)  $2 x y = 10$ 
D)  $10 ^ { 2 x } = y$

Question 16

Provide an appropriate response.
-What is one ordered pair that is always on the graph of f( $f ( x ) = a ^ { x }$ ?

Accepted Answer

The answer of Provide an appropriate response.
-What is one ordered...

Question 17

Write the logarithmic equation in exponential form.
-$\log _ { W } Q = 19$

Accepted Answer

A)  $w ^ { 19 } = \mathrm { Q }$ 
B)  $19 \mathrm {~W} = \mathrm { Q }$ 
C)  $\mathrm { Q } ^ { \mathrm { W } } = 19$ 
D)  $Q ^ { 19 } = w$ 
A)  $w ^ { 19 } = \mathrm { Q }$ 
B)  $19 \mathrm {~W} = \mathrm { Q }$ 
C)  $\mathrm { Q } ^ { \mathrm { W } } = 19$ 
D)  $Q ^ { 19 } = w$

Question 18

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.
-$\log _ { 19 } \frac { \sqrt [ 6 ] { 5 } } { y ^ { 2 } x }$

Accepted Answer

A)  $\frac { 1 } { 6 } \log _ { 19 } 5 - 2 \log _ { 19 } y - 2 \log _ { 19 } x$ 
B)  $\log _ { 19 } 5 - \log _ { 19 } y - \log _ { 19 } x$ 
C)  $6 \log _ { 19 } 5 - 2 \log _ { 19 } y - \log _ { 19 } 6$ 
D)  $\frac { 1 } { 6 } \log _ { 19 } 5 - 2 \log _ { 19 } y - \log _ { 19 } x$ 
A)  $\frac { 1 } { 6 } \log _ { 19 } 5 - 2 \log _ { 19 } y - 2 \log _ { 19 } x$ 
B)  $\log _ { 19 } 5 - \log _ { 19 } y - \log _ { 19 } x$ 
C)  $6 \log _ { 19 } 5 - 2 \log _ { 19 } y - \log _ { 19 } 6$ 
D)  $\frac { 1 } { 6 } \log _ { 19 } 5 - 2 \log _ { 19 } y - \log _ { 19 } x$

Question 19

Provide an appropriate response.
-Using A $$\mathrm { A } = \mathrm { P } ( 1 + \mathrm { rt } )$$ rt), the future value formula for a simple interest investment, derive the formula for r, the rate
of simple interest.

Accepted Answer

The answer of Provide an appropriate response.
-Using A \[\mathrm {...

Question 20

-Given that $\log _ { a } 11 = 2.398 \text { and } \log _ { a } 5 = 1.609$ evaluate $\log _ { a } \frac { 11 } { 5 }$.

Accepted Answer

A)   4.007 
B)   -0.788 
C)   0.789 
D)   1.49 
A)   4.007 
B)   -0.788 
C)   0.789 
D)   1.49

Match the equation with its graph. - $y = 4 ( x - 3 )$

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

Charles wants to retire in 17 years. At that time he wants to be able to withdraw $22,000 at the end of each year for 19 years. Assume that money can be deposited at 12% per year compounded annually. What exact amount Will Charles need in 17 years?

Provide an appropriate response. -Is the logarithm to the base 6 of 3 written a $\text { "logog } 6 " \text { or"log } 63$ ?"

The number of visitors to a tourist attraction (for the first few years after its opening) can be approximated by $V ( x ) = 50 + 10 \log _ { 2 } x$ where x represents the number of months after the opening of the attraction. Find the number of visitors 32 months after the opening of the attraction.

Match the equation with its graph. - $y = - 3 ^ { x }$

Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places. - 198+4 log x=170

Barry Newman's savings account has a balance of $1541. After 17 years, what will the amount of interest be at 6% compounded annually?

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

Felipe Rivera's savings account has a balance of $2238. After 3 years what will the amount of interest be at 6% compounded quarterly?

The logarithmic functio $f ( x ) = - 200 + 88 \ln x$ n x models the number of visitors (in millions) to U.S. museums from 1960 to 2010, where x is the number of years since 1960. Is this function increasing or decreasing?

Find f(1) if $f ( x ) = \left\{ \begin{array} { l l } 100 & \text { if } 0 \leq x \leq 1 \\200 & \text { if } 1 < x < 2 \\300 & \text { if } 2 \leq x < 3 \\400 & \text { if } 3 \leq x \leq 4\end{array} \right.$

Write in logarithmic form. - $10 ^ { - 5 } = 0.00001$

Write the logarithmic equation in exponential form. - $y = \log ( 2 x )$

Provide an appropriate response. -What is one ordered pair that is always on the graph of f( $f ( x ) = a ^ { x }$ ?

Write the logarithmic equation in exponential form. - $\log _ { W } Q = 19$

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible. - $\log _ { 19 } \frac { \sqrt [ 6 ] { 5 } } { y ^ { 2 } x }$

Provide an appropriate response. -Using A $\mathrm { A } = \mathrm { P } ( 1 + \mathrm { rt } )$ rt), the future value formula for a simple interest investment, derive the formula for r, the rate of simple interest.

-Given that $\log _ { a } 11 = 2.398 \text { and } \log _ { a } 5 = 1.609$ evaluate $\log _ { a } \frac { 11 } { 5 }$ .

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Exam 5: Exponential and Logarithmic Functions

Match the equation with its graph. - y=4(x−3)y = 4 ( x - 3 )y=4(x−3)

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

Charles wants to retire in 17 years. At that time he wants to be able to withdraw $22,000 at the end of each year for 19 years. Assume that money can be deposited at 12% per year compounded annually. What exact amount Will Charles need in 17 years?

Provide an appropriate response. -Is the logarithm to the base 6 of 3 written a "logog 6" or"log 63\text { "logog } 6 " \text { or"log } 63 "logog 6" or"log 63 ?"

Match the equation with its graph. - y=−3xy = - 3 ^ { x }y=−3x

Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places. - 198+4 log x=170

Barry Newman's savings account has a balance of $1541. After 17 years, what will the amount of interest be at 6% compounded annually?

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

Felipe Rivera's savings account has a balance of $2238. After 3 years what will the amount of interest be at 6% compounded quarterly?

The logarithmic functio f(x)=−200+88ln⁡xf ( x ) = - 200 + 88 \ln xf(x)=−200+88lnx n x models the number of visitors (in millions) to U.S. museums from 1960 to 2010, where x is the number of years since 1960. Is this function increasing or decreasing?

Write in logarithmic form. - 10−5=0.0000110 ^ { - 5 } = 0.0000110−5=0.00001

Write the logarithmic equation in exponential form. - y=log⁡(2x)y = \log ( 2 x )y=log(2x)

Provide an appropriate response. -What is one ordered pair that is always on the graph of f( f(x)=axf ( x ) = a ^ { x }f(x)=ax ?

Write the logarithmic equation in exponential form. - log⁡WQ=19\log _ { W } Q = 19logW​Q=19

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible. - log⁡1956y2x\log _ { 19 } \frac { \sqrt [ 6 ] { 5 } } { y ^ { 2 } x }log19​y2x65​​

Provide an appropriate response. -Using A A=P(1+rt)\mathrm { A } = \mathrm { P } ( 1 + \mathrm { rt } )A=P(1+rt) rt), the future value formula for a simple interest investment, derive the formula for r, the rate of simple interest.

-Given that log⁡a11=2.398 and log⁡a5=1.609\log _ { a } 11 = 2.398 \text { and } \log _ { a } 5 = 1.609loga​11=2.398 and loga​5=1.609 evaluate log⁡a115\log _ { a } \frac { 11 } { 5 }loga​511​ .

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Match the equation with its graph. - $y = 4 ( x - 3 )$

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

Provide an appropriate response. -Is the logarithm to the base 6 of 3 written a $\text { "logog } 6 " \text { or"log } 63$ ?"

Match the equation with its graph. - $y = - 3 ^ { x }$

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

The logarithmic functio $f ( x ) = - 200 + 88 \ln x$ n x models the number of visitors (in millions) to U.S. museums from 1960 to 2010, where x is the number of years since 1960. Is this function increasing or decreasing?

Write in logarithmic form. - $10 ^ { - 5 } = 0.00001$

Write the logarithmic equation in exponential form. - $y = \log ( 2 x )$

Provide an appropriate response. -What is one ordered pair that is always on the graph of f( $f ( x ) = a ^ { x }$ ?

Write the logarithmic equation in exponential form. - $\log _ { W } Q = 19$

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible. - $\log _ { 19 } \frac { \sqrt [ 6 ] { 5 } } { y ^ { 2 } x }$

Provide an appropriate response. -Using A $\mathrm { A } = \mathrm { P } ( 1 + \mathrm { rt } )$ rt), the future value formula for a simple interest investment, derive the formula for r, the rate of simple interest.

-Given that $\log _ { a } 11 = 2.398 \text { and } \log _ { a } 5 = 1.609$ evaluate $\log _ { a } \frac { 11 } { 5 }$ .