Question 1

Determine whether the function is one-to-one.

Accepted Answer

A)  no 
B)  yes 
A)  no 
B)  yes

Question 2

Solve the inequality.

Accepted Answer

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

Question 3

Determine   for the pair of functions   and   .

Accepted Answer

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

Question 4

The shapes of the suspension cables in certain types of bridges are parabolic. The suspension cable for the bridge shown in the illustration is described by y = 0.372 x 2. Find y if x = -20.

Accepted Answer

A)  158.8 
B)  258.8 
C)  137.8 
D)  128.8 
E)  148.8 
A)  158.8 
B)  258.8 
C)  137.8 
D)  128.8 
E)  148.8

Question 5

Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a ( x - h ) 2 + k . Do not graph the equation.

Accepted Answer

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

Question 6

Graph the inequality. y > x  2 - 5

Accepted Answer

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

Question 7

Graph the function.

Accepted Answer

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

Question 8

A high pressure area promises increasingly warmer weather for the next 48 hours. The temperature is now 34° Celsius and is expected to rise 1° every 6 hours. Express the Fahrenheit temperature as a function of the number of hours t from now. ( Hint:   )

Accepted Answer

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

Question 9

Use the quadratic formula to find all real solutions of the equation.

Accepted Answer

A)  x = 10, x = 4 
B)  x = 5, x = -2 
C)  x = 5, x = 4 
D)  x = -5, x = 2 
E)  x = 5, x = 2 
A)  x = 10, x = 4 
B)  x = 5, x = -2 
C)  x = 5, x = 4 
D)  x = -5, x = 2 
E)  x = 5, x = 2

Question 10

Determine whether the function is one-to-one.

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 11

Use the quadratic formula to find all real solutions of the equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)  no real solutions 
A)    
B)    
C)    
D)    
E)  no real solutions

Question 12

Solve a formula for the indicated variable.   , for   .

Accepted Answer

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

Question 13

Use the square root method to solve the equation.

Accepted Answer

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

Question 14

The height in feet   of a rocket in flight is given by the formula   , where   is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

Accepted Answer

A)  11 sec 
B)  10 sec 
C)  8 sec 
D)  12 sec 
E)  13 sec 
A)  11 sec 
B)  10 sec 
C)  8 sec 
D)  12 sec 
E)  13 sec

Question 15

Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a ( x - h )2 + k . Do not graph the equation. y = -4( x - 3)2

Accepted Answer

A)  (0, -4) 
B)  (5, 0) 
C)  (-4, 0) 
D)  (0, 3) 
E)  (3, 0) 
A)  (0, -4) 
B)  (5, 0) 
C)  (-4, 0) 
D)  (0, 3) 
E)  (3, 0)

Question 16

Graph the inequality.

Accepted Answer

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

Question 17

Solve the equation and verify that the sum of the solutions is -   and the product of the solutions is   .

Accepted Answer

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

Question 18

Which of the following graphs accurately represents the equation shown below? f ( x ) = -3 x 2 + 3 x + 1

Accepted Answer

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

Question 19

Graph the function. f ( x ) = 2 x 2 - 8 x +5

Accepted Answer

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

Question 20

Determine whether the function is one-to-one.

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Determine whether the function is one-to-one.

Solve the inequality.

Determine for the pair of functions and .

The shapes of the suspension cables in certain types of bridges are parabolic. The suspension cable for the bridge shown in the illustration is described by y = 0.372 x ². Find y if x = -20.

Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a ( x - h ) ² + k . Do not graph the equation.

Graph the inequality. y > x ²- 5

Graph the function.

A high pressure area promises increasingly warmer weather for the next 48 hours. The temperature is now 34° Celsius and is expected to rise 1° every 6 hours. Express the Fahrenheit temperature as a function of the number of hours t from now. ( Hint: )

Use the quadratic formula to find all real solutions of the equation.

Determine whether the function is one-to-one.

Use the quadratic formula to find all real solutions of the equation.

Solve a formula for the indicated variable. , for .

Use the square root method to solve the equation.

The height in feet of a rocket in flight is given by the formula , where is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a ( x - h )² + k . Do not graph the equation. y = -4( x - 3)²

Graph the inequality.

Solve the equation and verify that the sum of the solutions is - and the product of the solutions is .

Which of the following graphs accurately represents the equation shown below? f ( x ) = -3 x ² + 3 x + 1

Graph the function. f ( x ) = 2 x ² - 8 x +5

Determine whether the function is one-to-one.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 8: Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Determine whether the function is one-to-one.

Solve the inequality.

Determine for the pair of functions and .

The shapes of the suspension cables in certain types of bridges are parabolic. The suspension cable for the bridge shown in the illustration is described by y = 0.372 x 2. Find y if x = -20.

Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a ( x - h ) 2 + k . Do not graph the equation.

Graph the inequality. y > x 2 - 5

Graph the function.

A high pressure area promises increasingly warmer weather for the next 48 hours. The temperature is now 34° Celsius and is expected to rise 1° every 6 hours. Express the Fahrenheit temperature as a function of the number of hours t from now. ( Hint: )

Use the quadratic formula to find all real solutions of the equation.

Determine whether the function is one-to-one.

Use the quadratic formula to find all real solutions of the equation.

Solve a formula for the indicated variable. , for .

Use the square root method to solve the equation.

The height in feet of a rocket in flight is given by the formula , where is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a ( x - h )2 + k . Do not graph the equation. y = -4( x - 3)2

Graph the inequality.

Solve the equation and verify that the sum of the solutions is - and the product of the solutions is .

Which of the following graphs accurately represents the equation shown below? f ( x ) = -3 x 2 + 3 x + 1

Graph the function. f ( x ) = 2 x 2 - 8 x +5

Determine whether the function is one-to-one.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

The shapes of the suspension cables in certain types of bridges are parabolic. The suspension cable for the bridge shown in the illustration is described by y = 0.372 x ². Find y if x = -20.

Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a ( x - h ) ² + k . Do not graph the equation.

Graph the inequality. y > x ²- 5

Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a ( x - h )² + k . Do not graph the equation. y = -4( x - 3)²

Which of the following graphs accurately represents the equation shown below? f ( x ) = -3 x ² + 3 x + 1

Graph the function. f ( x ) = 2 x ² - 8 x +5