Question 1

Provide an appropriate response.
-

Accepted Answer

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

Question 2

Solve the problem.
-Suppose the sales of a particular brand of MP3 player satisfy the relationship S = 200x + 3800, where S represents the number of sales in year x, with x = 0 corresponding to 2002 . Find the number of sales in 2005.

Accepted Answer

A)  4200 
B)  6400 
C)  12,600 
D)  4400 
A)  4200 
B)  6400 
C)  12,600 
D)  4400 D

Question 3

Find the range of the given function. Express your answer in interval notation.
-

Accepted Answer

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

Question 4

Solve the problem.
-Hi-Tech UnWater begins a cable TV advertising campaign in Miami to market a new water. The percentage of the target market that buys water is estimated by the function   t represents the number
Of days of the campaign. After how long will 90% of the target market have bought the water?

Accepted Answer

A)  90 days 
B)  115 days 
C)  120 days 
D)  3 days 
A)  90 days 
B)  115 days 
C)  120 days 
D)  3 days

Question 5

Provide an appropriate response.
-Use the graph to find the slope, x-intercept and y-intercept of the line.

Accepted Answer

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

Question 6

Solve the problem.
-Book sales on the Internet (in billions of dollars) in year x are approximated by f(x) = 1.84 + 2.1 · ln x, where x = 0 corresponds to 2000. How much will be spent on Internet book sales in 2008? Round to the nearest tenth.

Accepted Answer

A)  6.2 billion 
B)  6.0 billion 
C)  3.9 billion 
D)  8.0 billion 
A)  6.2 billion 
B)  6.0 billion 
C)  3.9 billion 
D)  8.0 billion

Question 7

Provide an appropriate response.
-Write the equation of a line that passes through (3, 9) and (0, -7). Write the final answer in the form Ax + By = C where A, B, and C are integers with no common divisors (other than ±1) and A > 0.

Accepted Answer

A)  -16x + 3y = 21 
B)  16x - 3y = 21 
C)  16x - 3y = -21 
D)  3x - 16y = 21 
A)  -16x + 3y = 21 
B)  16x - 3y = 21 
C)  16x - 3y = -21 
D)  3x - 16y = 21

Question 8

Solve the problem.
-U. S. Census Bureau data shows that the number of families in the United States (in millions) in year x is given by h(x) = 51.42 + 15.473 · log x , where x = 0 is 1980. How many families were there in 2002?

Accepted Answer

A)  48 million 
B)  72 million 
C)  21 million 
D)  90 million 
A)  48 million 
B)  72 million 
C)  21 million 
D)  90 million

Question 9

Use a calculator to evaluate the expression. Round the result to five decimal places.
-log 0.234

Accepted Answer

A)  0.234 
B)  -0.63074 
C)  1.26364 
D)  -1.45243 
A)  0.234 
B)  -0.63074 
C)  1.26364 
D)  -1.45243

Question 10

Provide an appropriate response.
-What is the minimum number of x intercepts that a polynomial of degree 8 can have? Explain.

Accepted Answer

A)  0 because a polynomial of even degree may not cross the x axis at all. 
B)  8 because this is the degree of the polynomial. 
C)  1 because a polynomial of even degree crosses the x axis at least once. 
D)  Not enough information is given. 
A)  0 because a polynomial of even degree may not cross the x axis at all. 
B)  8 because this is the degree of the polynomial. 
C)  1 because a polynomial of even degree crosses the x axis at least once. 
D)  Not enough information is given.

Question 11

Find the function value.
-

Accepted Answer

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

Question 12

Determine whether the graph is the graph of a function.
-

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 13

For the rational function below (i) Find any intercepts for the graph; (ii) Find any vertical and horizontal asymptotes for
the graph; (iii) Sketch any asymptotes as dashed lines. Then sketch a graph of f.
-

Accepted Answer

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

Question 14

Determine the domain of the function.
-

Accepted Answer

A)  x < 3 
B)  All real numbers except 3 
C)    
D)  No solution 
A)  x < 3 
B)  All real numbers except 3 
C)    
D)  No solution

Question 15

Solve the equation.
-Solve for

Accepted Answer

A)  5 
B)  15 
C)  -5 
D)  -15 
A)  5 
B)  15 
C)  -5 
D)  -15

Question 16

Solve the problem.
-The population P, in thousands, of Fayetteville is given by   , where t is the time, in months. Find the population at 9 months.

Accepted Answer

A)  15, 976 
B)  30, 769 
C)  7988 
D)  40,000 
A)  15, 976 
B)  30, 769 
C)  7988 
D)  40,000

Question 17

Use a calculator to evaluate the expression. Round the result to five decimal places.
-log (-10.25)

Accepted Answer

A)  1.01072 
B)  2.32728 
C)  -1.01072 
D)  Undefined 
A)  1.01072 
B)  2.32728 
C)  -1.01072 
D)  Undefined

Question 18

Find the equations of any vertical asymptotes.
-

Accepted Answer

A)  y = 1, y = -5 
B)  x = -1, x = 5 
C)  y = 3 
D)  x = 1, x = -5 
A)  y = 1, y = -5 
B)  x = -1, x = 5 
C)  y = 3 
D)  x = 1, x = -5

Question 19

Find the function value.
-Find f(-6) when

Accepted Answer

A)  27 
B)  45 
C)  117 
D)  -99 
A)  27 
B)  45 
C)  117 
D)  -99

Question 20

Solve the equation.
-Solve for

Accepted Answer

A)  {3} 
B)  {8, 3} 
C)  {-8, -3} 
D)  {8} 
A)  {3} 
B)  {8, 3} 
C)  {-8, -3} 
D)  {8}

Provide an appropriate response. -

Solve the problem. -Suppose the sales of a particular brand of MP3 player satisfy the relationship S = 200x + 3800, where S represents the number of sales in year x, with x = 0 corresponding to 2002 . Find the number of sales in 2005.

Find the range of the given function. Express your answer in interval notation. -

Provide an appropriate response. -Use the graph to find the slope, x-intercept and y-intercept of the line.

Solve the problem. -Book sales on the Internet (in billions of dollars) in year x are approximated by f(x) = 1.84 + 2.1 · ln x, where x = 0 corresponds to 2000. How much will be spent on Internet book sales in 2008? Round to the nearest tenth.

Provide an appropriate response. -Write the equation of a line that passes through (3, 9) and (0, -7). Write the final answer in the form Ax + By = C where A, B, and C are integers with no common divisors (other than ±1) and A > 0.

Solve the problem. -U. S. Census Bureau data shows that the number of families in the United States (in millions) in year x is given by h(x) = 51.42 + 15.473 · log x , where x = 0 is 1980. How many families were there in 2002?

Use a calculator to evaluate the expression. Round the result to five decimal places. -log 0.234

Provide an appropriate response. -What is the minimum number of x intercepts that a polynomial of degree 8 can have? Explain.

Find the function value. -

Determine whether the graph is the graph of a function. -

For the rational function below (i) Find any intercepts for the graph; (ii) Find any vertical and horizontal asymptotes for the graph; (iii) Sketch any asymptotes as dashed lines. Then sketch a graph of f. -

Determine the domain of the function. -

Solve the equation. -Solve for

Solve the problem. -The population P, in thousands, of Fayetteville is given by , where t is the time, in months. Find the population at 9 months.

Use a calculator to evaluate the expression. Round the result to five decimal places. -log (-10.25)

Find the equations of any vertical asymptotes. -

Find the function value. -Find f(-6) when

Solve the equation. -Solve for

Limits and the Derivative

Additional Derivative Topics

Graphing and Optimization

Integration

Additional Integration Topics

Multivariable Calculus

Trigonometric Functions

Differential Equations

Taylor Polynomials and Infinite Series

Probability and Calculus

Basic Algebra Review

Special Topics

Filters

Exam 1: Functions and Graphs

Provide an appropriate response. -

Solve the problem. -Suppose the sales of a particular brand of MP3 player satisfy the relationship S = 200x + 3800, where S represents the number of sales in year x, with x = 0 corresponding to 2002 . Find the number of sales in 2005.

Find the range of the given function. Express your answer in interval notation. -

Provide an appropriate response. -Use the graph to find the slope, x-intercept and y-intercept of the line.

Solve the problem. -Book sales on the Internet (in billions of dollars) in year x are approximated by f(x) = 1.84 + 2.1 · ln x, where x = 0 corresponds to 2000. How much will be spent on Internet book sales in 2008? Round to the nearest tenth.

Provide an appropriate response. -Write the equation of a line that passes through (3, 9) and (0, -7). Write the final answer in the form Ax + By = C where A, B, and C are integers with no common divisors (other than ±1) and A > 0.

Solve the problem. -U. S. Census Bureau data shows that the number of families in the United States (in millions) in year x is given by h(x) = 51.42 + 15.473 · log x , where x = 0 is 1980. How many families were there in 2002?

Use a calculator to evaluate the expression. Round the result to five decimal places. -log 0.234

Provide an appropriate response. -What is the minimum number of x intercepts that a polynomial of degree 8 can have? Explain.

Find the function value. -

Determine whether the graph is the graph of a function. -

For the rational function below (i) Find any intercepts for the graph; (ii) Find any vertical and horizontal asymptotes for the graph; (iii) Sketch any asymptotes as dashed lines. Then sketch a graph of f. -

Determine the domain of the function. -

Solve the equation. -Solve for

Solve the problem. -The population P, in thousands, of Fayetteville is given by , where t is the time, in months. Find the population at 9 months.

Use a calculator to evaluate the expression. Round the result to five decimal places. -log (-10.25)

Find the equations of any vertical asymptotes. -

Find the function value. -Find f(-6) when

Solve the equation. -Solve for

Limits and the Derivative

Additional Derivative Topics

Graphing and Optimization

Integration

Additional Integration Topics

Multivariable Calculus

Trigonometric Functions

Differential Equations

Taylor Polynomials and Infinite Series

Probability and Calculus

Basic Algebra Review

Special Topics

Filters