Question 1

Find the vertex and axis of symmetry, and then graph the parabola given by:

Accepted Answer

A)  Vertex: (   ); Axis of symmetry: x =     
B)  Vertex: (   ); Axis of symmetry: x =     
C)  Vertex: (   ) ; Axis of symmetry: x =     
A)  Vertex: (   ); Axis of symmetry: x =     
B)  Vertex: (   ); Axis of symmetry: x =     
C)  Vertex: (   ) ; Axis of symmetry: x =

Question 2

Find the minimum or maximum of the quadratic function:

Accepted Answer

A)  Minimum: -1 
B)  Minimum: 5 
C)  Minimum: 4 
D)  Minimum: -4 
E)  Minimum: 12 
A)  Minimum: -1 
B)  Minimum: 5 
C)  Minimum: 4 
D)  Minimum: -4 
E)  Minimum: 12

Question 3

Let   Find:

Accepted Answer

A)  56 
B)  191 
C)  193 
D)  156 
E)  183 
A)  56 
B)  191 
C)  193 
D)  156 
E)  183

Question 4

Find two numbers whose sum is 38 and whose product is a maximum.

Accepted Answer

A)  30; 8 
B)  19; 19 
C)  22; 16 
D)  13; 25 
E)  23; 15 
A)  30; 8 
B)  19; 19 
C)  22; 16 
D)  13; 25 
E)  23; 15

Question 5

Use the discriminant to determine the number of x-intercepts of the graph:

Accepted Answer

A)  One 
B)  Two 
C)  None 
A)  One 
B)  Two 
C)  None

Question 6

Determine whether the function given below has an inverse.

Accepted Answer

A)  Inverse exists 
B)  No inverse 
A)  Inverse exists 
B)  No inverse

Question 7

State the domain and range of the function:

Accepted Answer

A)  Domain:  
Range:   
B)  Domain:  
Range:   
C)  Domain:  
Range:   
D)  Domain:  
Range:   
E)  Domain:  
Range:   
A)  Domain:  
Range:   
B)  Domain:  
Range:   
C)  Domain:  
Range:   
D)  Domain:  
Range:   
E)  Domain:  
Range:

Question 8

Find the zeros of the function:

Accepted Answer

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

Question 9

Let   Find:

Accepted Answer

A)  -64 
B)  -70 
C)  -52 
D)  -76 
E)  -32 
A)  -64 
B)  -70 
C)  -52 
D)  -76 
E)  -32

Question 10

Use the discriminant to determine the number of x-intercepts of the graph:

Accepted Answer

A)  None 
B)  Two 
C)  One 
A)  None 
B)  Two 
C)  One

Question 11

Find the minimum or maximum of the quadratic function:

Accepted Answer

A)  Minimum: -5 
B)  Minimum: 10 
C)  Minimum: -10 
D)  Maximum: -2 
E)  Maximum: 8 
A)  Minimum: -5 
B)  Minimum: 10 
C)  Minimum: -10 
D)  Maximum: -2 
E)  Maximum: 8

Question 12

Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the beginning of the leak is given by   Find the area of the spill as a function of time.

Accepted Answer

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

Question 13

Use the discriminant to determine the number of x-intercepts of the graph:

Accepted Answer

A)  None 
B)  Two 
C)  One 
A)  None 
B)  Two 
C)  One

Question 14

Determine whether the graph shown below is the graph of a 1-1 function.

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 15

Find the zeros of the function:

Accepted Answer

A)  4, 0 
B)  -4, 0 
C)  -4, 8 
D)  -4, -8 
E)  4, 8 
A)  4, 0 
B)  -4, 0 
C)  -4, 8 
D)  -4, -8 
E)  4, 8

Question 16

Determine whether the function given below has an inverse.

Accepted Answer

A)  No Inverse 
B)  Inverse exists 
A)  No Inverse 
B)  Inverse exists

Question 17

Use the discriminant to determine the number of x-intercepts of the graph:

Accepted Answer

A)  One 
B)  Two 
C)  None 
A)  One 
B)  Two 
C)  None

Question 18

Given the graph of   . Use translations to draw the graphs   .

Accepted Answer

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

Question 19

Find the minimum or maximum of the quadratic function:

Accepted Answer

A)  Minimum: 5 
B)  Maximum: -3 
C)  Minimum: 1 
D)  Minimum: 11 
E)  Minimum: 3 
A)  Minimum: 5 
B)  Maximum: -3 
C)  Minimum: 1 
D)  Minimum: 11 
E)  Minimum: 3

Question 20

Find the vertex and axis of symmetry, and then graph the parabola given by:

Accepted Answer

A)  Vertex: (2, -1); Axis of symmetry: x = 2   
B)  Vertex: (-2, -8); Axis of symmetry: x = -2   
C)  Vertex: (1, -2); Axis of symmetry: x = 1   
A)  Vertex: (2, -1); Axis of symmetry: x = 2   
B)  Vertex: (-2, -8); Axis of symmetry: x = -2   
C)  Vertex: (1, -2); Axis of symmetry: x = 1

Find the vertex and axis of symmetry, and then graph the parabola given by:

Find the minimum or maximum of the quadratic function:

Let Find:

Find two numbers whose sum is 38 and whose product is a maximum.

Use the discriminant to determine the number of x-intercepts of the graph:

Determine whether the function given below has an inverse.

State the domain and range of the function:

Find the zeros of the function:

Let Find:

Use the discriminant to determine the number of x-intercepts of the graph:

Find the minimum or maximum of the quadratic function:

Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the beginning of the leak is given by Find the area of the spill as a function of time.

Use the discriminant to determine the number of x-intercepts of the graph:

Determine whether the graph shown below is the graph of a 1-1 function.

Find the zeros of the function:

Determine whether the function given below has an inverse.

Use the discriminant to determine the number of x-intercepts of the graph:

Given the graph of . Use translations to draw the graphs .

Find the minimum or maximum of the quadratic function:

Find the vertex and axis of symmetry, and then graph the parabola given by:

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

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Exam 11: Functions and Relations

Find the vertex and axis of symmetry, and then graph the parabola given by:

Find the minimum or maximum of the quadratic function:

Let Find:

Find two numbers whose sum is 38 and whose product is a maximum.

Use the discriminant to determine the number of x-intercepts of the graph:

Determine whether the function given below has an inverse.

State the domain and range of the function:

Find the zeros of the function:

Let Find:

Use the discriminant to determine the number of x-intercepts of the graph:

Find the minimum or maximum of the quadratic function:

Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the beginning of the leak is given by Find the area of the spill as a function of time.

Use the discriminant to determine the number of x-intercepts of the graph:

Determine whether the graph shown below is the graph of a 1-1 function.

Find the zeros of the function:

Determine whether the function given below has an inverse.

Use the discriminant to determine the number of x-intercepts of the graph:

Given the graph of . Use translations to draw the graphs .

Find the minimum or maximum of the quadratic function:

Find the vertex and axis of symmetry, and then graph the parabola given by:

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Linear Functions and Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Exponential and Logarithmic Functions

Filters