Question 1

Find ( fg )(x).

Accepted Answer

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

Question 2

Find   . ​   ​

Accepted Answer

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

Question 3

Select the correct graph of the given function. ​   ​

Accepted Answer

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

Question 4

The cost of sending an overnight package from Los Angeles to Miami is $26.30 for a package weighing up to but not including 1 pound and $4.00 for each additional pound or portion of a pound.A model for the total cost C (in dollars) of sending the package is ​
С = 26.30 + 4.00[[x]], x > 0, where x is the weight in pounds.
​
Select the graph of the model.
​

Accepted Answer

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

Question 5

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. ​   ​

Accepted Answer

A) ​   Intercepts: (0, 0), (-2, 0) 
B) ​   Intercepts: (0, 0) 
C)    Intercepts: (0, 0), (2, 0)​ 
D) ​   Intercepts: (2, 0), (0, 0) 
E) ​   Intercepts: (-2, 0), (0, 0) ​ 
A) ​   Intercepts: (0, 0), (-2, 0) 
B) ​   Intercepts: (0, 0) 
C)    Intercepts: (0, 0), (2, 0)​ 
D) ​   Intercepts: (2, 0), (0, 0) 
E) ​   Intercepts: (-2, 0), (0, 0) ​

Question 6

Find all solutions of the following equation in the interval [0, 2π). ​   ​

Accepted Answer

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

Question 7

Use inequality notation and interval notation to describe the set. ​
The dog's weight W is more than 63 pounds.
​

Accepted Answer

A) Inequality : W > 63 Interval : (63, ∞) B) Inequality : W ≥ 63 Interval : (63, ∞) C) Inequality : W ≤ 63 Interval : (63, ∞) D) Inequality : W < 63 Interval : (63, ∞) E) Inequality : W = 63 Interval : (63, ∞) A) Inequality : W > 63 Interval : (63, ∞) B) Inequality : W ≥ 63 Interval : (63, ∞) C) Inequality : W ≤ 63 Interval : (63, ∞) D) Inequality : W < 63 Interval : (63, ∞) E) Inequality : W = 63 Interval : (63, ∞)

Question 8

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. ​
Y = x2 - 4x
​

Accepted Answer

A) x-intercept : (0, 0), (4, 0) y-intercept : (0, 0)
No symmetry
​   
B) x-intercept : (0, 0), (-4, 0) y-intercept : (0, 1)
No symmetry   
C) x-intercept : (4, 0), (4, 0) y-intercept : (0, 1)
No symmetry
​   
D) x-intercept : (0, 0), (4, 0) y-intercept : (0, 1)
No symmetry
​   
E) x-intercept : (0, 0), (4, 0) y-intercept : (0, -1)
No symmetry  
​ 
A) x-intercept : (0, 0), (4, 0) y-intercept : (0, 0)
No symmetry
​   
B) x-intercept : (0, 0), (-4, 0) y-intercept : (0, 1)
No symmetry   
C) x-intercept : (4, 0), (4, 0) y-intercept : (0, 1)
No symmetry
​   
D) x-intercept : (0, 0), (4, 0) y-intercept : (0, 1)
No symmetry
​   
E) x-intercept : (0, 0), (4, 0) y-intercept : (0, -1)
No symmetry  
​

Question 9

Assume the graph has the indicated type of symmetry.Sketch the complete graph.   symmetric with respect to the origin.

Accepted Answer

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

Question 10

Write the standard form of the equation of the circle with the given characteristics. ​
Endpoints of a diameter: (2, 2), (12, 2)
​

Accepted Answer

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

Question 11

Place the correct symbol (, or =) between the pair of real numbers. -|2| -|-2|

Accepted Answer

A) -|2|  -|-2| 
C) -|2| = -|-2| 
A) -|2|  -|-2| 
C) -|2| = -|-2|

Question 12

Find   and the domain of the composite function. ​   ​

Accepted Answer

A)    Domain of   : all real numbers x 
B)    Domain of   : all real numbers x 
C)    Domain of   : all real numbers x 
D)    Domain of   : all real numbers x 
E)    Domain of   : all real numbers x 
A)    Domain of   : all real numbers x 
B)    Domain of   : all real numbers x 
C)    Domain of   : all real numbers x 
D)    Domain of   : all real numbers x 
E)    Domain of   : all real numbers x

Question 13

Select the graph of the function and determine whether it is even, odd, or neither. ​   ​

Accepted Answer

A) ​   Even 
B) ​   Odd 
C) ​   Odd 
D) ​   Even 
E) ​   Neither 
A) ​   Even 
B) ​   Odd 
C) ​   Odd 
D) ​   Even 
E) ​   Neither

Question 14

Evaluate the expression for the value of x = -4. x2 - 5x + 4
​

Accepted Answer

A) -5 
B) -40 
C) 40 
D) 5 
E) -4 
A) -5 
B) -40 
C) 40 
D) 5 
E) -4

Question 15

Determine which numbers in the set are integers. -8.42, 15, -5π, 0, 9.0, -1

Accepted Answer

A) 15, 0, -1 
B) 15, 0, 9.0, -1 
C) 15, -5π, 0, -1 
D) 15, 0 
E) -8.42, 15, 0, 9.0, -1 
A) 15, 0, -1 
B) 15, 0, 9.0, -1 
C) 15, -5π, 0, -1 
D) 15, 0 
E) -8.42, 15, 0, 9.0, -1

Question 16

Determine whether the function has an inverse function.If it does, find the inverse function. f(x) = x2 + 5

Accepted Answer

A)    
B)    
C)    
D)    
E) No inverse function exists. 
A)    
B)    
C)    
D)    
E) No inverse function exists.

Question 17

Select the correct graph of the given function. ​   ​

Accepted Answer

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

Question 18

Graphically estimate the x- and y-intercepts of the graph. ​     ​

Accepted Answer

A) x-intercept: (±3, 0) y-intercept: (0, 81) 
B) x-intercept: (3, 0) y-intercept: (0, 81) 
C) x-intercept: (-3, 0) y-intercept: (0, 81) 
D) x-intercept: (±3, 0) y-intercept: (0, 9) 
E) x-intercept: (0, 3) y-intercept: (0, 81) 
A) x-intercept: (±3, 0) y-intercept: (0, 81) 
B) x-intercept: (3, 0) y-intercept: (0, 81) 
C) x-intercept: (-3, 0) y-intercept: (0, 81) 
D) x-intercept: (±3, 0) y-intercept: (0, 9) 
E) x-intercept: (0, 3) y-intercept: (0, 81)

Question 19

Use a calculator to evaluate the expression.(Round your answer to three decimal places.)   ​

Accepted Answer

A) 1.523 × 1010 
B) 1.523 × 1011 
C) 3.222 × 109 
D) 3.222 × 1011 
E) 3.222 × 1010 
A) 1.523 × 1010 
B) 1.523 × 1011 
C) 3.222 × 109 
D) 3.222 × 1011 
E) 3.222 × 1010

Question 20

Select the correct graph, showing f and g are inverse functions. ​   ​

Accepted Answer

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

Find ( fg )(x).

Find .

Select the correct graph of the given function.

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts.

Find all solutions of the following equation in the interval [0, 2π).

Use inequality notation and interval notation to describe the set. The dog's weight W is more than 63 pounds.

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. Y = x² - 4x

Assume the graph has the indicated type of symmetry.Sketch the complete graph. symmetric with respect to the origin.

Write the standard form of the equation of the circle with the given characteristics. Endpoints of a diameter: (2, 2), (12, 2)

Place the correct symbol (<, >, or =) between the pair of real numbers. -|2| -|-2|

Find and the domain of the composite function.

Select the graph of the function and determine whether it is even, odd, or neither.

Evaluate the expression for the value of x = -4. x² - 5x + 4

Determine which numbers in the set are integers. -8.42, 15, -5π, 0, 9.0, -1

Determine whether the function has an inverse function.If it does, find the inverse function. f(x) = x² + 5

Select the correct graph of the given function.

Graphically estimate the x- and y-intercepts of the graph.

Use a calculator to evaluate the expression.(Round your answer to three decimal places.)

Select the correct graph, showing f and g are inverse functions.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Find ( fg )(x).

Find . ​ ​

Select the correct graph of the given function. ​ ​

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. ​ ​

Find all solutions of the following equation in the interval [0, 2π). ​ ​

Use inequality notation and interval notation to describe the set. ​ The dog's weight W is more than 63 pounds. ​

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. ​ Y = x2 - 4x ​

Assume the graph has the indicated type of symmetry.Sketch the complete graph. symmetric with respect to the origin.

Write the standard form of the equation of the circle with the given characteristics. ​ Endpoints of a diameter: (2, 2), (12, 2) ​

Place the correct symbol (<, >, or =) between the pair of real numbers. -|2| -|-2|

Find and the domain of the composite function. ​ ​

Select the graph of the function and determine whether it is even, odd, or neither. ​ ​

Evaluate the expression for the value of x = -4. x2 - 5x + 4 ​

Determine which numbers in the set are integers. -8.42, 15, -5π, 0, 9.0, -1

Determine whether the function has an inverse function.If it does, find the inverse function. f(x) = x2 + 5

Select the correct graph of the given function. ​ ​

Graphically estimate the x- and y-intercepts of the graph. ​ ​

Use a calculator to evaluate the expression.(Round your answer to three decimal places.) ​

Select the correct graph, showing f and g are inverse functions. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Find .

Select the correct graph of the given function.

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts.

Find all solutions of the following equation in the interval [0, 2π).

Use inequality notation and interval notation to describe the set. The dog's weight W is more than 63 pounds.

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. Y = x² - 4x

Write the standard form of the equation of the circle with the given characteristics. Endpoints of a diameter: (2, 2), (12, 2)

Find and the domain of the composite function.

Select the graph of the function and determine whether it is even, odd, or neither.

Evaluate the expression for the value of x = -4. x² - 5x + 4

Determine whether the function has an inverse function.If it does, find the inverse function. f(x) = x² + 5

Select the correct graph of the given function.

Graphically estimate the x- and y-intercepts of the graph.

Use a calculator to evaluate the expression.(Round your answer to three decimal places.)

Select the correct graph, showing f and g are inverse functions.