Question 1

Determine whether the relation represents a function. If it is a function, state the domain and range.
-{(-4, 19), (-3, 12), (0, 3), (3, 12), (5, 28)}

Accepted Answer

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

Question 2

Solve the problem.
-Under certain conditions, the power P, in watts per hour, generated by a windmill with winds blowing v miles per hour is given by   . Find the power generated by 18-mph winds.

Accepted Answer

A)  0.00006075 watts per hour 
B)  58.32 watts per hour 
C)  87.48 watts per hour 
D)  4.86 watts per hour 
A)  0.00006075 watts per hour 
B)  58.32 watts per hour 
C)  87.48 watts per hour 
D)  4.86 watts per hour

Question 3

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

Accepted Answer

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

Question 4

Provide an appropriate response.
-

Accepted Answer

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

Question 5

Provide an appropriate response.
-If   , find g(-2), g(1), and

Accepted Answer

The answer of Provide an appropriate response.
-If   ,...

Question 6

Solve the problem.
-A carbon-14 dating test is performed on a fossil bone, and analysis finds that 15.5% of the original amount of carbon-14 is still present in the bone. Estimate the age of the fossil bone. (Recall that carbon-14 decays
According to the equation   .

Accepted Answer

A)  15,000 years 
B)  150 years 
C)  15,035 years 
D)  1,500 years 
A)  15,000 years 
B)  150 years 
C)  15,035 years 
D)  1,500 years

Question 7

Find the equation of any horizontal asymptote.
-

Accepted Answer

A)  y = 0 
B)    
C)    
D)  None 
A)  y = 0 
B)    
C)    
D)  None

Question 8

Use a calculator to evaluate the expression. Round the result to five decimal places.
-log 0.17

Accepted Answer

A)  -0.76955 
B)  -1.76955 
C)  -4.07454 
D)  -1.77196 
A)  -0.76955 
B)  -1.76955 
C)  -4.07454 
D)  -1.77196

Question 9

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 10

Provide an appropriate response.
-How can the graph of   6 be obtained from the graph of

Accepted Answer

A)  Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units up. 
B)  Shift it horizontally 1 units to the right. Reflect it across the x-axis. Shift it 6 units up. 
C)  Shift it horizontally 1 units to the left. Reflect it across the x-axis. Shift it 6 units up. 
D)  Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units down. 
A)  Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units up. 
B)  Shift it horizontally 1 units to the right. Reflect it across the x-axis. Shift it 6 units up. 
C)  Shift it horizontally 1 units to the left. Reflect it across the x-axis. Shift it 6 units up. 
D)  Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units down.

Question 11

Provide an appropriate response.
-

Accepted Answer

A)    Range: all real numbers 
B)    
C)    
D)    
A)    Range: all real numbers 
B)    
C)    
D)

Question 12

Write an equation of the line with the indicated slope and y intercept.
-Slope = -4, y intercept = 6

Accepted Answer

A)  y = -4x - 6 
B)  y = -4x + 6 
C)  y = 4x + 6 
D)  y = 6x - 4 
A)  y = -4x - 6 
B)  y = -4x + 6 
C)  y = 4x + 6 
D)  y = 6x - 4

Question 13

Provide an appropriate response.
-What is the maximum number of x intercepts that a polynomial of degree 2 can have?

Accepted Answer

A)  3 
B)  2 
C)  1 
D)  Not enough information is given. 
A)  3 
B)  2 
C)  1 
D)  Not enough information is given.

Question 14

Find the equations of any vertical asymptotes.
-

Accepted Answer

A)  x = -8, x = 6 
B)  x = 8 
C)  x = 8, x = -6 
D)  None 
A)  x = -8, x = 6 
B)  x = 8 
C)  x = 8, x = -6 
D)  None

Question 15

Solve the problem.
-A professional basketball player has a vertical leap of 37 inches. A formula relating an athlete's vertical leap V, in inches, to hang time T, in seconds, is   What is his hang time? Round to the nearest tenth.

Accepted Answer

A)  0.9 sec 
B)  0.6 sec 
C)  1 sec 
D)  0.8 sec 
A)  0.9 sec 
B)  0.6 sec 
C)  1 sec 
D)  0.8 sec

Question 16

Provide an appropriate response.
-Find the standard form of the equation of the line passing through the two points. (2, - 6) and (- 9, 6)

Accepted Answer

A)  8x - 15y = - 18 
B)  - 12x + 11y = - 42 
C)  - 8x + 15y = - 18 
D)  12x + 11y = - 42 
A)  8x - 15y = - 18 
B)  - 12x + 11y = - 42 
C)  - 8x + 15y = - 18 
D)  12x + 11y = - 42

Question 17

Graph the function.
-

Accepted Answer

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

Question 18

Provide an appropriate response.
-

Accepted Answer

A)    
B)  Not a function; for example, when x = 10, y = ±1 
A)    
B)  Not a function; for example, when x = 10, y = ±1

Question 19

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 20

Provide an appropriate response.
-Let T be the set of teachers at a high school and let S be the set of students enrolled at that school. Determine which of
the following correspondences define a function. Explain.
(A) A student corresponds to the teacher if the student is enrolled in the teacher's class.
(B) A student corresponds to every teacher of the school.

Accepted Answer

Choice (A) defines a function. To each e

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(-4, 19), (-3, 12), (0, 3), (3, 12), (5, 28)}

Solve the problem. -Under certain conditions, the power P, in watts per hour, generated by a windmill with winds blowing v miles per hour is given by . Find the power generated by 18-mph winds.

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

Provide an appropriate response. -

Provide an appropriate response. -If , find g(-2), g(1), and

Solve the problem. -A carbon-14 dating test is performed on a fossil bone, and analysis finds that 15.5% of the original amount of carbon-14 is still present in the bone. Estimate the age of the fossil bone. (Recall that carbon-14 decays According to the equation .

Find the equation of any horizontal asymptote. -

Use a calculator to evaluate the expression. Round the result to five decimal places. -log 0.17

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

Provide an appropriate response. -How can the graph of 6 be obtained from the graph of

Provide an appropriate response. -

Write an equation of the line with the indicated slope and y intercept. -Slope = -4, y intercept = 6

Provide an appropriate response. -What is the maximum number of x intercepts that a polynomial of degree 2 can have?

Find the equations of any vertical asymptotes. -

Solve the problem. -A professional basketball player has a vertical leap of 37 inches. A formula relating an athlete's vertical leap V, in inches, to hang time T, in seconds, is What is his hang time? Round to the nearest tenth.

Provide an appropriate response. -Find the standard form of the equation of the line passing through the two points. (2, - 6) and (- 9, 6)

Graph the function. -

Provide an appropriate response. -

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). -

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

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(-4, 19), (-3, 12), (0, 3), (3, 12), (5, 28)}

Solve the problem. -Under certain conditions, the power P, in watts per hour, generated by a windmill with winds blowing v miles per hour is given by . Find the power generated by 18-mph winds.

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

Provide an appropriate response. -

Provide an appropriate response. -If , find g(-2), g(1), and

Solve the problem. -A carbon-14 dating test is performed on a fossil bone, and analysis finds that 15.5% of the original amount of carbon-14 is still present in the bone. Estimate the age of the fossil bone. (Recall that carbon-14 decays According to the equation .

Find the equation of any horizontal asymptote. -

Use a calculator to evaluate the expression. Round the result to five decimal places. -log 0.17

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

Provide an appropriate response. -How can the graph of 6 be obtained from the graph of

Provide an appropriate response. -

Write an equation of the line with the indicated slope and y intercept. -Slope = -4, y intercept = 6

Provide an appropriate response. -What is the maximum number of x intercepts that a polynomial of degree 2 can have?

Find the equations of any vertical asymptotes. -

Solve the problem. -A professional basketball player has a vertical leap of 37 inches. A formula relating an athlete's vertical leap V, in inches, to hang time T, in seconds, is What is his hang time? Round to the nearest tenth.

Provide an appropriate response. -Find the standard form of the equation of the line passing through the two points. (2, - 6) and (- 9, 6)

Graph the function. -

Provide an appropriate response. -

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). -

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