Question 1

Find all real solutions to the equation.
-

Accepted Answer

A)    
B)  {-9} 
C)  {9} 
D)    
A)    
B)  {-9} 
C)  {9} 
D)

Question 2

Tell whether the graph of the function opens up or down.
-P(x) = -   - 1

Accepted Answer

A)  down 
B)  up 
A)  down 
B)  up

Question 3

Find all real and imaginary solutions.
-  + 8x = 0

Accepted Answer

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

Question 4

Use the theorem on bounds to establish the best integral bounds for the roots of the equation.
-

Accepted Answer

A)  -2 < x < 1 
B)  -1 < x < 1 
C)  -1 < x < 4 
D)  -2 < x < 2 
A)  -2 < x < 1 
B)  -1 < x < 1 
C)  -1 < x < 4 
D)  -2 < x < 2

Question 5

Find all of the real and imaginary zeros for the polynomial function.
-f(x) =   - 18x - 72

Accepted Answer

A)  -12, -6, 1, 1 
B)  -1, 1, 6, 12 
C)  -6, -1, 1, 12 
D)  -12, -6, -1, 1 
A)  -12, -6, 1, 1 
B)  -1, 1, 6, 12 
C)  -6, -1, 1, 12 
D)  -12, -6, -1, 1

Question 6

Match the graph of the rational function with its equation.
-

Accepted Answer

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

Question 7

Solve the polynomial inequality. State the solution set using interval notation.
-

Accepted Answer

A)  [-7, 10] 
B)    
C)    
D)    
A)  [-7, 10] 
B)    
C)    
D)

Question 8

Find the y-intercepts and any x-intercepts.
-y =   + 10x - 25

Accepted Answer

A)  y-intercept (0, -25), x-intercept (-5, 0) 
B)  y-intercept (0, -25), no x-intercepts 
C)    
D)    
A)  y-intercept (0, -25), x-intercept (-5, 0) 
B)  y-intercept (0, -25), no x-intercepts 
C)    
D)

Question 9

For the given function, find all asymptotes of the type indicated (if there are any).
-f(x) =   , oblique

Accepted Answer

A)  y = x + 6 
B)  None 
C)  y = x - 10 
D)  x = y + 2 
A)  y = x + 6 
B)  None 
C)  y = x - 10 
D)  x = y + 2

Question 10

Find all real solutions to the equation.
-

Accepted Answer

A)    
B)  {5} 
C)  {0} 
D)    
A)    
B)  {5} 
C)  {0} 
D)

Question 11

Find the range of the function.
-f(x) =   + 8x + 8

Accepted Answer

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

Question 12

Determine the domain and the equations of the asymptotes for the graph of the rational function.
-

Accepted Answer

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

Question 13

Use synthetic division and the theorem on bounds to find integers a and b, such that the interval (a, b) contains all real
zeros of the function. By inspecting the graph of each function, find the shortest interval (c, d) that contains all real zeros
of the function with c and d integers. The second interval should be a subinterval of the first.
-y =

Accepted Answer

A)  -5 < x < 5, -4 < x < 5 
B)  -5 < x < 5, -5 < x < 4 
C)  -5 < x < 5, -4 < x < 4 
D)  -5 < x < 5, -4 < x < 3 
A)  -5 < x < 5, -4 < x < 5 
B)  -5 < x < 5, -5 < x < 4 
C)  -5 < x < 5, -4 < x < 4 
D)  -5 < x < 5, -4 < x < 3

Question 14

Solve the equation. Find imaginary solutions if possible.
-(2x + 1)-3/2 = 271

Accepted Answer

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

Question 15

Sketch the graph of the polynomial function.
-f(x) = -3x(x - 2)(x + 1)

Accepted Answer

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

Question 16

Use the rational zero theorem to find all possible rational zeros for the polynomial function.
-P(x) =   + 7x - 17

Accepted Answer

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

Question 17

Identify the vertex of the parabola.
-f(x) = 3x2 + 18x + 26

Accepted Answer

A)  (3, -1) 
B)  (3, 1) 
C)  (1, 3) 
D)  (-3, -1) 
A)  (3, -1) 
B)  (3, 1) 
C)  (1, 3) 
D)  (-3, -1)

Question 18

For the given function, find all asymptotes of the type indicated (if there are any).
-f(x) =   , vertical

Accepted Answer

A)  x = 3, x = -3 
B)  None 
C)  x = 8, x = -6 
D)  x = -8, x = 6 
A)  x = 3, x = -3 
B)  None 
C)  x = 8, x = -6 
D)  x = -8, x = 6

Question 19

Find the y-intercepts and any x-intercepts.
-y = -   - 4x + 2

Accepted Answer

A)  y-intercept (0, 2), no x-intercepts 
B)    
C)    
D)    
A)  y-intercept (0, 2), no x-intercepts 
B)    
C)    
D)

Question 20

Find all real solutions to the equation.
-

Accepted Answer

A)  {6} 
B)    
C)  {9} 
D)  {8} 
A)  {6} 
B)    
C)  {9} 
D)  {8}

Find all real solutions to the equation. -

Tell whether the graph of the function opens up or down. -P(x) = - - 1

Find all real and imaginary solutions. - + 8x = 0

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. -

Find all of the real and imaginary zeros for the polynomial function. -f(x) = - 18x - 72

Match the graph of the rational function with its equation. -

Solve the polynomial inequality. State the solution set using interval notation. -

Find the y-intercepts and any x-intercepts. -y = + 10x - 25

For the given function, find all asymptotes of the type indicated (if there are any). -f(x) = , oblique

Find all real solutions to the equation. -

Find the range of the function. -f(x) = + 8x + 8

Determine the domain and the equations of the asymptotes for the graph of the rational function. -

Solve the equation. Find imaginary solutions if possible. -(2x + 1)-3/2 = 271

Sketch the graph of the polynomial function. -f(x) = -3x(x - 2)(x + 1)

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = + 7x - 17

Identify the vertex of the parabola. -f(x) = 3x2 + 18x + 26

For the given function, find all asymptotes of the type indicated (if there are any). -f(x) = , vertical

Find the y-intercepts and any x-intercepts. -y = - - 4x + 2

Find all real solutions to the equation. -

Equations, Inequalities, and Modeling

Functions and Graphs

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

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Basic Algebra Review

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Exam 3: Polynomial and Rational Functions

Find all real solutions to the equation. -

Tell whether the graph of the function opens up or down. -P(x) = - - 1

Find all real and imaginary solutions. - + 8x = 0

Use the theorem on bounds to establish the best integral bounds for the roots of the equation. -

Find all of the real and imaginary zeros for the polynomial function. -f(x) = - 18x - 72

Match the graph of the rational function with its equation. -

Solve the polynomial inequality. State the solution set using interval notation. -

Find the y-intercepts and any x-intercepts. -y = + 10x - 25

For the given function, find all asymptotes of the type indicated (if there are any). -f(x) = , oblique

Find all real solutions to the equation. -

Find the range of the function. -f(x) = + 8x + 8

Determine the domain and the equations of the asymptotes for the graph of the rational function. -

Solve the equation. Find imaginary solutions if possible. -(2x + 1)-3/2 = 271

Sketch the graph of the polynomial function. -f(x) = -3x(x - 2)(x + 1)

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = + 7x - 17

Identify the vertex of the parabola. -f(x) = 3x2 + 18x + 26

For the given function, find all asymptotes of the type indicated (if there are any). -f(x) = , vertical

Find the y-intercepts and any x-intercepts. -y = - - 4x + 2

Find all real solutions to the equation. -

Equations, Inequalities, and Modeling

Functions and Graphs

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