Question 1

Solve the problem.
-

Accepted Answer

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

Question 2

Determine whether the relation represents a function. If it is a function, state the domain and range.
-

Accepted Answer

A)  function domain: {4, 6, 8, 10} Range: {24, 36, 48, 60} 
B)  function domain:{24, 36, 48, 60} range: {4, 6, 8, 10} 
C)  not a function 
A)  function domain: {4, 6, 8, 10} Range: {24, 36, 48, 60} 
B)  function domain:{24, 36, 48, 60} range: {4, 6, 8, 10} 
C)  not a function

Question 3

Provide an appropriate response.
-The following table shows a recent state income tax schedule for married couples filing a joint return in State X.   (i) Write a piecewise definition for the tax due T(x) on an income of x dollars. (ii) Graph T(x). (iii) Find the tax due on a taxable income of $50,000. Of $95,000.

Accepted Answer

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

Question 4

Use the properties of logarithms to solve.
-

Accepted Answer

A)  -5 
B)  2, - 5 
C)  6 
D)  2 
A)  -5 
B)  2, - 5 
C)  6 
D)  2

Question 5

Solve the problem.
-A sample of 800 grams of radioactive substance decays according to the function A   , where t is the time in years. How much of the substance will be left in the sample after 10 years? Round to the nearest
Whole gram.

Accepted Answer

A)  800 grams 
B)  605 grams 
C)  1 gram 
D)  9 grams 
A)  800 grams 
B)  605 grams 
C)  1 gram 
D)  9 grams

Question 6

Solve the problem.
-In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference P(x) = R(x) - C(x)
Represents the total profit for producing x widgets. Given   and C(x) = 3x + 13, find P(100).

Accepted Answer

A)  313 
B)  2000 
C)  55687 
D)  1687 
A)  313 
B)  2000 
C)  55687 
D)  1687

Question 7

Graph the function.
-

Accepted Answer

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

Question 8

For the given function, find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
-g(x) =

Accepted Answer

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

Question 9

Solve the problem.
-Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by   What is the cost per ton for x = 30?

Accepted Answer

A)  $425.00 
B)  $7083.33 
C)  $467.03 
D)  $16.67 
A)  $425.00 
B)  $7083.33 
C)  $467.03 
D)  $16.67

Question 10

Graph the linear equation and determine its slope, if it exists.
-

Accepted Answer

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

Question 11

Use interval notation to write the solution set of the inequality.
-

Accepted Answer

A)    
B)    
C)    
D)  (3, 4) 
A)    
B)    
C)    
D)  (3, 4)

Question 12

Find the slope and y intercept of the graph of the equation.
-y = 52 x - 72

Accepted Answer

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

Question 13

Solve the equation graphically to four decimal places.
-

Accepted Answer

A)  No solution 
B)  0.7922 
C)  0.7922, 4.2078 
D)  4.2078 
A)  No solution 
B)  0.7922 
C)  0.7922, 4.2078 
D)  4.2078

Question 14

Use the REGRESSION feature on a graphing calculator.
-For some reason the quality of production decreased as the year progressed at a flash drive manufacturing plant. The following data represent the percentage of defective flash drives produced at the plant in the
Corresponding month of the year.   Use the regression equation with values rounded to four decimals to predict the percentage of defective drives in month
6, June.

Accepted Answer

A)  2.3% 
B)  2.0% 
C)  2.20% 
D)  2.15% 
A)  2.3% 
B)  2.0% 
C)  2.20% 
D)  2.15%

Question 15

Use the properties of logarithms to solve.
-

Accepted Answer

A)    
B)  7 
C)    
D)    
A)    
B)  7 
C)    
D)

Question 16

Provide an appropriate response.
-What is the minimum number of x intercepts that a polynomial of degree 11 can have? Explain.

Accepted Answer

A)  11 because this is the degree of the polynomial. 
B)  1 because a polynomial of odd degree crosses the x axis at least once. 
C)  0 because a polynomial of odd degree may not cross the x axis at all. 
D)  Not enough information is given. 
A)  11 because this is the degree of the polynomial. 
B)  1 because a polynomial of odd degree crosses the x axis at least once. 
C)  0 because a polynomial of odd degree may not cross the x axis at all. 
D)  Not enough information is given.

Question 17

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or
horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).
-

Accepted Answer

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

Question 18

Provide an appropriate response.
-

Accepted Answer

A)  A function with domain all real numbers except x = -3 
B)    
A)  A function with domain all real numbers except x = -3 
B)

Question 19

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals.
-

Accepted Answer

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

Question 20

Use the REGRESSION feature on a graphing calculator.
-As the number of farms has decreased in South Carolina, the average size of the remaining farms has grown larger, as shown below.   Let x represent the number of years since 1900. Use a graphing calculator to fit a quadratic function to the data. Round
Your answer to five decimal places.

Accepted Answer

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

Solve the problem. -

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Use the properties of logarithms to solve. -

Solve the problem. -A sample of 800 grams of radioactive substance decays according to the function A , where t is the time in years. How much of the substance will be left in the sample after 10 years? Round to the nearest Whole gram.

Graph the function. -

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -g(x) =

Solve the problem. -Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by What is the cost per ton for x = 30?

Graph the linear equation and determine its slope, if it exists. -

Use interval notation to write the solution set of the inequality. -

Find the slope and y intercept of the graph of the equation. -y = 52 x - 72

Solve the equation graphically to four decimal places. -

Use the properties of logarithms to solve. -

Provide an appropriate response. -What is the minimum number of x intercepts that a polynomial of degree 11 can have? Explain.

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -

Provide an appropriate response. -

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals. -

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

Solve the problem. -

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Use the properties of logarithms to solve. -

Solve the problem. -A sample of 800 grams of radioactive substance decays according to the function A , where t is the time in years. How much of the substance will be left in the sample after 10 years? Round to the nearest Whole gram.

Graph the function. -

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -g(x) =

Solve the problem. -Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by What is the cost per ton for x = 30?

Graph the linear equation and determine its slope, if it exists. -

Use interval notation to write the solution set of the inequality. -

Find the slope and y intercept of the graph of the equation. -y = 52 x - 72

Solve the equation graphically to four decimal places. -

Use the properties of logarithms to solve. -

Provide an appropriate response. -What is the minimum number of x intercepts that a polynomial of degree 11 can have? Explain.

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -

Provide an appropriate response. -

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals. -

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