Question 1

Determine whether the function is invertible. If it is, find the inverse.
-{(-9, 6), (-8, 6), (-7, 6), (-6, 4)}

Accepted Answer

A)  {(-9, 4), (-9, 6), (-7, -8)} 
B)  {(6, -9), (-8, 6), (-7, 4)} 
C)  {(6, -9), (4, 6), (-7, -8)} 
D)  Not invertible 
A)  {(-9, 4), (-9, 6), (-7, -8)} 
B)  {(6, -9), (-8, 6), (-7, 4)} 
C)  {(6, -9), (4, 6), (-7, -8)} 
D)  Not invertible

Question 2

Graph the function as a solid curve and its inverse as a dashed curve.
-f(x) = 4 -

Accepted Answer

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

Question 3

Evaluate.
-Find (f - G)(-4) given f(x) = -   and g(x) = x - 3.

Accepted Answer

A)  -56 
B)  -50 
C)  -58 
D)  61 
A)  -56 
B)  -50 
C)  -58 
D)  61

Question 4

Solve the inequality by reading the given graph. State the solution set using interval notation.
-  A related function is graphed below.   x-intercepts: (-5, 0), (2, 0), (5, 0)

Accepted Answer

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

Question 5

Solve the problem.
-The mathematical model C = 700x + 50,000 represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $470,000?

Accepted Answer

A)  743 items 
B)  529 items 
C)  600 items 
D)  469,300 items 
A)  743 items 
B)  529 items 
C)  600 items 
D)  469,300 items

Question 6

Solve the problem.
-In January 1983, Anna starts a new job and makes an annual salary of $38,000. By January 1986 her annual salary has increased to $46,200, and by January 1996 it has increased to $240,200. What is the average rate of
Change of her salary between January 1986 and January 1996?

Accepted Answer

A)  $19,400 per year 
B)  $25,220 per year 
C)  $15,554 per year 
D)  $20,220 per year 
A)  $19,400 per year 
B)  $25,220 per year 
C)  $15,554 per year 
D)  $20,220 per year

Question 7

Solve the problem.
-The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 45 seconds are required to make a 3-by-5 enlargement, find the time required for a 4-by-7
Enlargement.

Accepted Answer

A)  140 sec 
B)  56 sec 
C)  84 sec 
D)  112 sec 
A)  140 sec 
B)  56 sec 
C)  84 sec 
D)  112 sec

Question 8

Determine the intervals on which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)    ; Decreasing on   
B)    ; Decreasing on (   
C)    ; Decreasing on   
D)    Decreasing on (   
A)    ; Decreasing on   
B)    ; Decreasing on (   
C)    ; Decreasing on   
D)    Decreasing on (

Question 9

Match the function with the graph.
-

Accepted Answer

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

Question 10

Identify the intervals on which the given function is increasing, decreasing, or constant.
-

Accepted Answer

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

Question 11

Determine whether the first variable varies directly or inversely with the other variable.
-The depth of a diver in the ocean, the pressure exerted by the water on the diver.

Accepted Answer

A)  Directly 
B)  Inversely 
A)  Directly 
B)  Inversely

Question 12

Find the constant of variation and construct the function that is expressed in each statement.
-y varies jointly as x and the square of w: y = 133.77, when x = 3.9 and w = 3.5.

Accepted Answer

A)    
B)  y = 9.8xw 
C)    
D)    
A)    
B)  y = 9.8xw 
C)    
D)

Question 13

Use the two given functions to write y as a function of x.
-y =   + 8, m = x - 3

Accepted Answer

A)    - 12x + 18 
B)    - 6x + 17 
C)    + 26 
D)    - 12x + 26 
A)    - 12x + 18 
B)    - 6x + 17 
C)    + 26 
D)    - 12x + 26

Question 14

Solve the problem.
-If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h =   + 78.4t. During what interval of time will the rocket be higher than 117.6 m?

Accepted Answer

A)  6 < t < 4 
B)  2 < t < 6 
C)  4 < t < 8 
D)  0 < t < 2 
A)  6 < t < 4 
B)  2 < t < 6 
C)  4 < t < 8 
D)  0 < t < 2

Question 15

Determine whether the function is invertible. If it is, find the inverse.
-{(10, -17), (17, -6), (4, -8)}

Accepted Answer

A)  {(-17, 10), (4, 17), (-8, -6)} 
B)  {(10, -6), (10, 17), (-8, 4)} 
C)  {(-17, 10), (-6, 17), (-8, 4)} 
D)  Not invertible 
A)  {(-17, 10), (4, 17), (-8, -6)} 
B)  {(10, -6), (10, 17), (-8, 4)} 
C)  {(-17, 10), (-6, 17), (-8, 4)} 
D)  Not invertible

Question 16

Solve the problem.
-If s varies directly as   , and s = 80 when t = 4, find s when t is 6.

Accepted Answer

A)  s = 24 
B)  s = 120 
C)  s = 180 
D)  s = 20 
A)  s = 24 
B)  s = 120 
C)  s = 180 
D)  s = 20

Question 17

Graph the function.
-

Accepted Answer

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

Question 18

Solve the problem.
-The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 24 seconds are required to make a 3-by-4 enlargement, find the time required for a 6-by-6
Enlargement.

Accepted Answer

A)  144 sec 
B)  72 sec 
C)  36 sec 
D)  108 sec 
A)  144 sec 
B)  72 sec 
C)  36 sec 
D)  108 sec

Question 19

Solve the inequality by reading the given graph. State the solution set using interval notation.
-  A related function is graphed below.   x-intercepts: (2, 0), (5, 0)

Accepted Answer

A)    
B)    
C)  [2, 5] 
D)    
A)    
B)    
C)  [2, 5] 
D)

Question 20

Solve the problem.
-The function   gives the height h, in feet, of a flare fired from the bottom of a gorge 288 feet deep with an initial velocity of 144 ft/sec. The flare fired is visible only when it is above the rim. During
What interval can the flare be seen?

Accepted Answer

A)  0 < t < 3 
B)  6 < t < 9 
C)  3 < t < 6 
D)  9 < t < 12 
A)  0 < t < 3 
B)  6 < t < 9 
C)  3 < t < 6 
D)  9 < t < 12

Determine whether the function is invertible. If it is, find the inverse. -{(-9, 6), (-8, 6), (-7, 6), (-6, 4)}

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = 4 -

Evaluate. -Find (f - G)(-4) given f(x) = - and g(x) = x - 3.

Solve the inequality by reading the given graph. State the solution set using interval notation. - A related function is graphed below. x-intercepts: (-5, 0), (2, 0), (5, 0)

Solve the problem. -The mathematical model C = 700x + 50,000 represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $470,000?

Solve the problem. -In January 1983, Anna starts a new job and makes an annual salary of $38,000. By January 1986 her annual salary has increased to $46,200, and by January 1996 it has increased to $240,200. What is the average rate of Change of her salary between January 1986 and January 1996?

Solve the problem. -The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 45 seconds are required to make a 3-by-5 enlargement, find the time required for a 4-by-7 Enlargement.

Determine the intervals on which the function is increasing, decreasing, and constant. -

Match the function with the graph. -

Identify the intervals on which the given function is increasing, decreasing, or constant. -

Determine whether the first variable varies directly or inversely with the other variable. -The depth of a diver in the ocean, the pressure exerted by the water on the diver.

Find the constant of variation and construct the function that is expressed in each statement. -y varies jointly as x and the square of w: y = 133.77, when x = 3.9 and w = 3.5.

Use the two given functions to write y as a function of x. -y = + 8, m = x - 3

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = + 78.4t. During what interval of time will the rocket be higher than 117.6 m?

Determine whether the function is invertible. If it is, find the inverse. -{(10, -17), (17, -6), (4, -8)}

Solve the problem. -If s varies directly as , and s = 80 when t = 4, find s when t is 6.

Graph the function. -

Solve the problem. -The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 24 seconds are required to make a 3-by-4 enlargement, find the time required for a 6-by-6 Enlargement.

Solve the inequality by reading the given graph. State the solution set using interval notation. - A related function is graphed below. x-intercepts: (2, 0), (5, 0)

Solve the problem. -The function gives the height h, in feet, of a flare fired from the bottom of a gorge 288 feet deep with an initial velocity of 144 ft/sec. The flare fired is visible only when it is above the rim. During What interval can the flare be seen?

Equations, Inequalities, and Modeling

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 2: Functions and Graphs

Determine whether the function is invertible. If it is, find the inverse. -{(-9, 6), (-8, 6), (-7, 6), (-6, 4)}

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = 4 -

Evaluate. -Find (f - G)(-4) given f(x) = - and g(x) = x - 3.

Solve the inequality by reading the given graph. State the solution set using interval notation. - A related function is graphed below. x-intercepts: (-5, 0), (2, 0), (5, 0)

Solve the problem. -The mathematical model C = 700x + 50,000 represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $470,000?

Solve the problem. -In January 1983, Anna starts a new job and makes an annual salary of $38,000. By January 1986 her annual salary has increased to $46,200, and by January 1996 it has increased to $240,200. What is the average rate of Change of her salary between January 1986 and January 1996?

Solve the problem. -The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 45 seconds are required to make a 3-by-5 enlargement, find the time required for a 4-by-7 Enlargement.

Determine the intervals on which the function is increasing, decreasing, and constant. -

Match the function with the graph. -

Identify the intervals on which the given function is increasing, decreasing, or constant. -

Determine whether the first variable varies directly or inversely with the other variable. -The depth of a diver in the ocean, the pressure exerted by the water on the diver.

Find the constant of variation and construct the function that is expressed in each statement. -y varies jointly as x and the square of w: y = 133.77, when x = 3.9 and w = 3.5.

Use the two given functions to write y as a function of x. -y = + 8, m = x - 3

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = + 78.4t. During what interval of time will the rocket be higher than 117.6 m?

Determine whether the function is invertible. If it is, find the inverse. -{(10, -17), (17, -6), (4, -8)}

Solve the problem. -If s varies directly as , and s = 80 when t = 4, find s when t is 6.

Graph the function. -

Solve the problem. -The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 24 seconds are required to make a 3-by-4 enlargement, find the time required for a 6-by-6 Enlargement.

Solve the inequality by reading the given graph. State the solution set using interval notation. - A related function is graphed below. x-intercepts: (2, 0), (5, 0)

Solve the problem. -The function gives the height h, in feet, of a flare fired from the bottom of a gorge 288 feet deep with an initial velocity of 144 ft/sec. The flare fired is visible only when it is above the rim. During What interval can the flare be seen?

Equations, Inequalities, and Modeling

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters