Question 1

Use properties of limits and algebraic methods to find the limit, if it exists.

Accepted Answer

A)    
B)    
C)    
D)    
E)  does not exist 
A)    
B)    
C)    
D)    
E)  does not exist B

Question 2

It cost a company $6.75 to produce 75 glass bottles. What was the average cost of production of a glass bottle to the nearest cent?

Accepted Answer

A)  $0.07 
B)  $0.75 
C)  $0.14 
D)  $40.88 
E)  $0.09 
A)  $0.07 
B)  $0.75 
C)  $0.14 
D)  $40.88 
E)  $0.09 E

Question 3

Given   evaluate   Round to the nearest ten-thousandth.

Accepted Answer

A)  426.75 
B)  400.429 
C)  406.429 
D)    2.9975 
A)  426.75 
B)  400.429 
C)  406.429 
D)    2.9975 D

Question 4

Calculate the constant percentage change for the given function.

Accepted Answer

A)  15% 
B)  0.15% 
C)  72% 
D)  82.8% 
E)  10.8% 
A)  15% 
B)  0.15% 
C)  72% 
D)  82.8% 
E)  10.8%

Question 5

Use properties of limits and algebraic methods to find the limit, if it exists.

Accepted Answer

A)  -1 
B)  14 
C)  -14 
D)  1 
E)  does not exist 
A)  -1 
B)  14 
C)  -14 
D)  1 
E)  does not exist

Question 6

Calculate the output value that corresponds to the given input values of the function.

Accepted Answer

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

Question 7

What is the horizontal shift of the following function?

Accepted Answer

A)  right   
B)  left 8 
C)  right 3 
D)  left   
E)  left 3 
A)  right   
B)  left 8 
C)  right 3 
D)  left   
E)  left 3

Question 8

The table below gives the normal daily mean temperatures, based on a 30-year period 1961 through 1990, for a certain city. Which of the following sine models best represents the mean daily temperature, where x denotes the number of the month in a calendar year.

Accepted Answer

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

Question 9

Rewrite the following pair of functions as one composite function.   ;

Accepted Answer

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

Question 10

Your credit card statement indicates a finance charge of 20.00 % per month on the outstanding balance. What is the effective rate of interest (APY) to the nearest hundredth?

Accepted Answer

A)  20.00 % 
B)  21.94 % 
C)  21.67 % 
D)  240.00 % 
E)  1.67 % 
A)  20.00 % 
B)  21.94 % 
C)  21.67 % 
D)  240.00 % 
E)  1.67 %

Question 11

Some populations of animals exhibit periodic behavior over time. During the 1960s and 1970s, two scientists carefully studied the population of the Carabid beetle in a region of the Netherlands. Assume that the table below shows the results from their study. Renumber the input data as years since 1965. Using only the data, estimate the horizontal shift, where a shift of zero corresponds to the year 1964. Round your answer to the nearest year.

Accepted Answer

A)  4 years 
B)  34 years 
C)  7 years 
D)  5 years 
E)  3 years 
A)  4 years 
B)  34 years 
C)  7 years 
D)  5 years 
E)  3 years

Question 12

Evaluate the function at the given values of the independent variables.

Accepted Answer

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

Question 13

Choose the function type for the mathematical model that best represents the given data set.

Accepted Answer

A)  logistic 
B)  quadratic 
C)  linear 
D)  exponential 
E)  logarithmic 
A)  logistic 
B)  quadratic 
C)  linear 
D)  exponential 
E)  logarithmic

Question 14

Indicate whether the function is an increasing or decreasing logistic function and identify the upper limiting value of the function   .

Accepted Answer

A)  The function is decreasing and the upper limit is 29.00. 
B)  The function is decreasing and the upper limit is 2.37. 
C)  The function is decreasing and the upper limit is -2.37. 
D)  The function is increasing and the upper limit is 0.00. 
E)  The function is increasing and the upper limit is 29.00. 
A)  The function is decreasing and the upper limit is 29.00. 
B)  The function is decreasing and the upper limit is 2.37. 
C)  The function is decreasing and the upper limit is -2.37. 
D)  The function is increasing and the upper limit is 0.00. 
E)  The function is increasing and the upper limit is 29.00.

Question 15

What is the amplitude of the following function?

Accepted Answer

A)  5 
B)  7 
C)  10 
D)  1 
E)  -1 
A)  5 
B)  7 
C)  10 
D)  1 
E)  -1

Question 16

A chemical reaction begins when a certain mixture reaches   C. The reaction activity is measured in units (U) per 100 microliters   of the mixture. Measurements during the first 18 minutes after the mixture reaches   C are listed in the accompanying table. Estimate the limiting value.

Accepted Answer

A)  3.86 
B)  1.93 
C)  4.06 
D)  3.83 
E)  1.73 
A)  3.86 
B)  1.93 
C)  4.06 
D)  3.83 
E)  1.73

Question 17

For the function, write the equations for any horizontal asymptote(s).

Accepted Answer

A)    and   
B)    and   
C)    
D)    
E)  no horizontal asymptotes 
A)    and   
B)    and   
C)    
D)    
E)  no horizontal asymptotes

Question 18

The table below gives the normal daily mean temperatures, based on a 30-year period 1961 through 1990, for a certain city. Use the data to estimate the amplitude to the nearest degree.

Accepted Answer

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

Question 19

Calculate the total amount due after two years on a loan of $1100 with a simple interest charge of 7%.

Accepted Answer

A)  $1254 
B)  $1204 
C)  $1304 
D)  $1354 
E)  $1154 
A)  $1254 
B)  $1204 
C)  $1304 
D)  $1354 
E)  $1154

Question 20

Find the amplitude of the following function. Round to two decimal places.

Accepted Answer

A)  3.00 
B)  8.00 
C)  5.00 
D)  0.00 
E)  2.00 
A)  3.00 
B)  8.00 
C)  5.00 
D)  0.00 
E)  2.00

Use properties of limits and algebraic methods to find the limit, if it exists.

It cost a company $6.75 to produce 75 glass bottles. What was the average cost of production of a glass bottle to the nearest cent?

Given evaluate Round to the nearest ten-thousandth.

Calculate the constant percentage change for the given function.

Use properties of limits and algebraic methods to find the limit, if it exists.

Calculate the output value that corresponds to the given input values of the function.

What is the horizontal shift of the following function?

The table below gives the normal daily mean temperatures, based on a 30-year period 1961 through 1990, for a certain city. Which of the following sine models best represents the mean daily temperature, where x denotes the number of the month in a calendar year.

Rewrite the following pair of functions as one composite function. ;

Your credit card statement indicates a finance charge of 20.00 % per month on the outstanding balance. What is the effective rate of interest (APY) to the nearest hundredth?

Evaluate the function at the given values of the independent variables.

Choose the function type for the mathematical model that best represents the given data set.

Indicate whether the function is an increasing or decreasing logistic function and identify the upper limiting value of the function .

What is the amplitude of the following function?

A chemical reaction begins when a certain mixture reaches C. The reaction activity is measured in units (U) per 100 microliters of the mixture. Measurements during the first 18 minutes after the mixture reaches C are listed in the accompanying table. Estimate the limiting value.

For the function, write the equations for any horizontal asymptote(s).

The table below gives the normal daily mean temperatures, based on a 30-year period 1961 through 1990, for a certain city. Use the data to estimate the amplitude to the nearest degree.

Calculate the total amount due after two years on a loan of $1100 with a simple interest charge of 7%.

Find the amplitude of the following function. Round to two decimal places.

Describing Change: Rates

Determining Change: Derivatives

Analyzing Change: Applications of Derivatives

Accumulating Change: Limits of Sums and the Definite Integral

Analyzing Accumulated Change: Integrals in Action

Ingredients of Multivariable Change: Models, Graphs, Rates

Analyzing Multivariable Change: Optimization

Filters

Exam 1: Ingredients of Change: Functions an Limits

Use properties of limits and algebraic methods to find the limit, if it exists.

It cost a company $6.75 to produce 75 glass bottles. What was the average cost of production of a glass bottle to the nearest cent?

Given evaluate Round to the nearest ten-thousandth.

Calculate the constant percentage change for the given function.

Use properties of limits and algebraic methods to find the limit, if it exists.

Calculate the output value that corresponds to the given input values of the function.

What is the horizontal shift of the following function?

The table below gives the normal daily mean temperatures, based on a 30-year period 1961 through 1990, for a certain city. Which of the following sine models best represents the mean daily temperature, where x denotes the number of the month in a calendar year.

Rewrite the following pair of functions as one composite function. ;

Your credit card statement indicates a finance charge of 20.00 % per month on the outstanding balance. What is the effective rate of interest (APY) to the nearest hundredth?

Evaluate the function at the given values of the independent variables.

Choose the function type for the mathematical model that best represents the given data set.

Indicate whether the function is an increasing or decreasing logistic function and identify the upper limiting value of the function .

What is the amplitude of the following function?

A chemical reaction begins when a certain mixture reaches C. The reaction activity is measured in units (U) per 100 microliters of the mixture. Measurements during the first 18 minutes after the mixture reaches C are listed in the accompanying table. Estimate the limiting value.

For the function, write the equations for any horizontal asymptote(s).

The table below gives the normal daily mean temperatures, based on a 30-year period 1961 through 1990, for a certain city. Use the data to estimate the amplitude to the nearest degree.

Calculate the total amount due after two years on a loan of $1100 with a simple interest charge of 7%.

Find the amplitude of the following function. Round to two decimal places.

Describing Change: Rates

Determining Change: Derivatives

Analyzing Change: Applications of Derivatives

Accumulating Change: Limits of Sums and the Definite Integral

Analyzing Accumulated Change: Integrals in Action

Ingredients of Multivariable Change: Models, Graphs, Rates

Analyzing Multivariable Change: Optimization

Filters