Question 1

Decide whether the relation defines a function.
-$y = x ^ { 3 }$

Accepted Answer

A)  Not a function 
B)  Function 
A)  Not a function 
B)  Function

Question 2

Write an equation for the line described. Give your answer in slope-intercept form.
-vertical, through (-2, 1)

Accepted Answer

A)  x = -2 
B)  y = -2 
C)  x = 1 
D)  y = 1 
A)  x = -2 
B)  y = -2 
C)  x = 1 
D)  y = 1

Question 3

Match the equation with the correct graph.
-$$x = - 4$$

Accepted Answer

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

Question 4

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.  
-At what time was the temperature its lowest?

Accepted Answer

A)  1 p.m. 
B)  9 a.m. 
C)  6 p.m. 
D)  4 p.m. 
A)  1 p.m. 
B)  9 a.m. 
C)  6 p.m. 
D)  4 p.m.

Question 5

Give the domain and range of the relation.
-

Accepted Answer

A)  domain: $( - \infty , 3 ) \cup ( 3 , \infty )$; range: $( - \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $\{ 3 \}$ 
C)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $\{ 3 \} ;$ range: $( - \infty , \infty )$ 
A)  domain: $( - \infty , 3 ) \cup ( 3 , \infty )$; range: $( - \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $\{ 3 \}$ 
C)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $\{ 3 \} ;$ range: $( - \infty , \infty )$

Question 6

Find the specified domain.
-The graphs of functions $\mathrm { f }$ and $g$ are shown. Use these graphs to find $( f g ) ( 1 )$

Accepted Answer

A)  $- 4$ 
B)  $- 3$ 
C)  3 
D)  2 
A)  $- 4$ 
B)  $- 3$ 
C)  3 
D)  2

Question 7

Write an equation for the line described. Write the equation in the form specified.
-parallel to y = -3, through (4, 9)

Accepted Answer

A)  y = 9 
B)  y = -9 
C)  y = 4 
D)  y = -3 
A)  y = 9 
B)  y = -9 
C)  y = 4 
D)  y = -3

Question 8

Match the description with the correct symbolic expression.
-a linear equation whose graph has x-intercept -5 and y-intercept 19

Accepted Answer

A)  f(x) = -5 
B)  x = 19 
C)  -19x + 5y = 95 
D)  y = 19x + 95 
A)  f(x) = -5 
B)  x = 19 
C)  -19x + 5y = 95 
D)  y = 19x + 95

Question 9

Match the equation with the correct graph.
-$$y = - 1$$

Accepted Answer

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

Question 10

Write an equation for the line described. Give your answer in standard form.
-$x$-intercept $( - 3,0 ) , y$-intercept $( 0,2 )$

Accepted Answer

A)  $- 2 x - 3 y = - 6$ 
B)  $2 x - 3 y = 6$ 
C)  $2 x + 3 y = - 6$ 
D)  $2 x - 3 y = - 6$ 
A)  $- 2 x - 3 y = - 6$ 
B)  $2 x - 3 y = 6$ 
C)  $2 x + 3 y = - 6$ 
D)  $2 x - 3 y = - 6$

Question 11

Graph the equation by plotting points.
-$$y = - x ^ { 2 } + 5$$

Accepted Answer

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

Question 12

Decide whether the relation defines a function.
-$x = y ^ { 4 }$

Accepted Answer

A)  Not a function 
B)  Function 
A)  Not a function 
B)  Function

Question 13

Decide whether the relation defines a function.
-$$\begin{array}{l}
\text { Student Test Score }\
\begin{array} { r | r } 
\text { Name } & \text { Test Score } \
\hline \text { Bob L. } & 81 \
\hline \text { Susan H. } & 83 \
\hline \text { Jim H. } & 76 \
\hline \text { Bruce B. } & 96
\end{array}
\end{array}$$

Accepted Answer

A)  Function 
B)  Not a function 
A)  Function 
B)  Not a function

Question 14

Give a rule for the piecewise-defined function. Then give the domain and range.
-

Accepted Answer

A)  $f ( x ) = \left\{ \begin{array} { l l } \sqrt [ 3 ] { x } & \text { if } x < 1 ; \text { Domain: } ( \infty , \infty ) , \text { Range: } ( \infty , 1 ) \cup [ 3 , \infty ) \ x + 2 & \text { if } x \geq 1 \end{array} \right.$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } - x ^ { 3 } & \text { if } x < 1 \ x - 2 & \text { if } x \geq 1 \end{array} \right.$ Domain: $( \infty , 1 ) \cup [ 3 , \infty )$, Range: $( \infty , \infty )$ 
C)  $f ( x ) = \left\{ \begin{array} { l l } x ^ { 3 } & \text { if } x < 1 \ x + 2 & \text { if } x \geq 1 \end{array} \right.$ Domain: $( \infty , \infty )$, Range: $( \infty , 1 ) \cup [ 3 , \infty )$ 
D)  $f ( x ) = \left\{ \begin{array} { l l } x ^ { 3 } & \text { if } x < 1 \ x - 2 & \text { if } x \geq 1 \end{array} \right.$; Domain: $( \infty , 1 ) \cup [ 3 , \infty )$, Range: $( \infty , \infty )$ 
A)  $f ( x ) = \left\{ \begin{array} { l l } \sqrt [ 3 ] { x } & \text { if } x < 1 ; \text { Domain: } ( \infty , \infty ) , \text { Range: } ( \infty , 1 ) \cup [ 3 , \infty ) \ x + 2 & \text { if } x \geq 1 \end{array} \right.$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } - x ^ { 3 } & \text { if } x < 1 \ x - 2 & \text { if } x \geq 1 \end{array} \right.$ Domain: $( \infty , 1 ) \cup [ 3 , \infty )$, Range: $( \infty , \infty )$ 
C)  $f ( x ) = \left\{ \begin{array} { l l } x ^ { 3 } & \text { if } x < 1 \ x + 2 & \text { if } x \geq 1 \end{array} \right.$ Domain: $( \infty , \infty )$, Range: $( \infty , 1 ) \cup [ 3 , \infty )$ 
D)  $f ( x ) = \left\{ \begin{array} { l l } x ^ { 3 } & \text { if } x < 1 \ x - 2 & \text { if } x \geq 1 \end{array} \right.$; Domain: $( \infty , 1 ) \cup [ 3 , \infty )$, Range: $( \infty , \infty )$

Question 15

Decide whether the relation defines a function.
-$y = \sqrt { 3 x - 6 }$

Accepted Answer

A)  Function 
B)  Not a function 
A)  Function 
B)  Not a function

Question 16

Find the slope and the y-intercept of the line.
-$$6 x + 7 y = 52$$

Accepted Answer

A)  slope: $- \frac { 1 } { 6 } ; y$-intercept: $\left( 0 , \frac { 7 } { 52 } \right)$ 
B)  slope: $\frac { 6 } { 7 } ; y$-intercept: $\left( 0 , \frac { 52 } { 7 } \right)$ 
C)  slope: $- \frac { 6 } { 7 } ; y$-intercept: $\left\{ 0 , \frac { 52 } { 7 } \right)$ 
D)  slope: $\frac { 1 } { 6 } ; y$-intercept: $\left( 0 , \frac { 7 } { 52 } \right)$ 
A)  slope: $- \frac { 1 } { 6 } ; y$-intercept: $\left( 0 , \frac { 7 } { 52 } \right)$ 
B)  slope: $\frac { 6 } { 7 } ; y$-intercept: $\left( 0 , \frac { 52 } { 7 } \right)$ 
C)  slope: $- \frac { 6 } { 7 } ; y$-intercept: $\left\{ 0 , \frac { 52 } { 7 } \right)$ 
D)  slope: $\frac { 1 } { 6 } ; y$-intercept: $\left( 0 , \frac { 7 } { 52 } \right)$

Question 17

The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept.
-

Accepted Answer

A)  $- \frac { 1 } { 3 } ; ( 0,2 ) , ( 6,0 )$ 
B)  $- \frac { 1 } { 3 } ; ( 0,6 ) , ( 2,0 )$ 
C)  $\frac { 1 } { 3 } ; ( 0,2 ) , ( 6,0 )$ 
D)  $- 3 ; ( 0,2 ) , ( 6,0 )$ 
A)  $- \frac { 1 } { 3 } ; ( 0,2 ) , ( 6,0 )$ 
B)  $- \frac { 1 } { 3 } ; ( 0,6 ) , ( 2,0 )$ 
C)  $\frac { 1 } { 3 } ; ( 0,2 ) , ( 6,0 )$ 
D)  $- 3 ; ( 0,2 ) , ( 6,0 )$

Question 18

Graph the circle.
-$$x ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$$

Accepted Answer

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

Question 19

Graph the function.
-Employees of a publishing company received an increase in salary of 3% plus a bonus of $1100. Let S(x) represent the new salary in terms of the previous salary x. Find the value of S(13,000).

Accepted Answer

A)  $14,100 
B)  $14,490 
C)  $18,000 
D)  $11,553 
A)  $14,100 
B)  $14,490 
C)  $18,000 
D)  $11,553

Question 20

Find the center-radius form of the equation of the circle.
-center $( 5,7 )$, radius $\sqrt { 15 }$

Accepted Answer

A)  $( x - 7 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 225$ 
B)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 15$ 
C)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 15$ 
D)  $( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 225$ 
A)  $( x - 7 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 225$ 
B)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 15$ 
C)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 15$ 
D)  $( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 225$

Decide whether the relation defines a function. - $y = x ^ { 3 }$

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (-2, 1)

Match the equation with the correct graph. - $x = - 4$

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what time was the temperature its lowest?

Give the domain and range of the relation. -

Find the specified domain. -The graphs of functions $\mathrm { f }$ and $g$ are shown. Use these graphs to find $( f g ) ( 1 )$ $Find the specified domain. -The graphs of functions \mathrm { f } and g are shown. Use these graphs to find ( f g ) ( 1 )$

Write an equation for the line described. Write the equation in the form specified. -parallel to y = -3, through (4, 9)

Match the description with the correct symbolic expression. -a linear equation whose graph has x-intercept -5 and y-intercept 19

Match the equation with the correct graph. - $y = - 1$

Write an equation for the line described. Give your answer in standard form. - $x$ -intercept $( - 3,0 ) , y$ -intercept $( 0,2 )$

Graph the equation by plotting points. - $y = - x ^ { 2 } + 5$ $Graph the equation by plotting points. - y = - x ^ { 2 } + 5$

Decide whether the relation defines a function. - $x = y ^ { 4 }$

Decide whether the relation defines a function. - Student Test Score Name Test Score Bob L. 81 Susan H. 83 Jim H. 76 Bruce B. 96

Give a rule for the piecewise-defined function. Then give the domain and range. -

Decide whether the relation defines a function. - $y = \sqrt { 3 x - 6 }$

Find the slope and the y-intercept of the line. - $6 x + 7 y = 52$

The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept. -

Graph the circle. - $x ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$ $Graph the circle. - x ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$

Graph the function. -Employees of a publishing company received an increase in salary of 3% plus a bonus of $1100. Let S(x) represent the new salary in terms of the previous salary x. Find the value of S(13,000).

Find the center-radius form of the equation of the circle. -center $( 5,7 )$ , radius $\sqrt { 15 }$

Review of Basic Concepts

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Exam 3: Graphs and Functions

Decide whether the relation defines a function. - y=x3y = x ^ { 3 }y=x3

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (-2, 1)

Match the equation with the correct graph. - x=−4x = - 4x=−4

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what time was the temperature its lowest?

Give the domain and range of the relation. -

Find the specified domain. -The graphs of functions f\mathrm { f }f and ggg are shown. Use these graphs to find (fg)(1)( f g ) ( 1 )(fg)(1)

Write an equation for the line described. Write the equation in the form specified. -parallel to y = -3, through (4, 9)

Match the description with the correct symbolic expression. -a linear equation whose graph has x-intercept -5 and y-intercept 19

Match the equation with the correct graph. - y=−1y = - 1y=−1

Write an equation for the line described. Give your answer in standard form. - xxx -intercept (−3,0),y( - 3,0 ) , y(−3,0),y -intercept (0,2)( 0,2 )(0,2)

Graph the equation by plotting points. - y=−x2+5y = - x ^ { 2 } + 5y=−x2+5

Decide whether the relation defines a function. - x=y4x = y ^ { 4 }x=y4

Decide whether the relation defines a function. - Student Test Score Name Test Score Bob L. 81 Susan H. 83 Jim H. 76 Bruce B. 96

Give a rule for the piecewise-defined function. Then give the domain and range. -

Decide whether the relation defines a function. - y=3x−6y = \sqrt { 3 x - 6 }y=3x−6​

Find the slope and the y-intercept of the line. - 6x+7y=526 x + 7 y = 526x+7y=52

The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept. -

Graph the circle. - x2+(y−6)2=9x ^ { 2 } + ( y - 6 ) ^ { 2 } = 9x2+(y−6)2=9

Graph the function. -Employees of a publishing company received an increase in salary of 3% plus a bonus of $1100. Let S(x) represent the new salary in terms of the previous salary x. Find the value of S(13,000).

Find the center-radius form of the equation of the circle. -center (5,7)( 5,7 )(5,7) , radius 15\sqrt { 15 }15​

Review of Basic Concepts

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Decide whether the relation defines a function. - $y = x ^ { 3 }$

Match the equation with the correct graph. - $x = - 4$

Find the specified domain. -The graphs of functions $\mathrm { f }$ and $g$ are shown. Use these graphs to find $( f g ) ( 1 )$ $Find the specified domain. -The graphs of functions \mathrm { f } and g are shown. Use these graphs to find ( f g ) ( 1 )$

Match the equation with the correct graph. - $y = - 1$

Write an equation for the line described. Give your answer in standard form. - $x$ -intercept $( - 3,0 ) , y$ -intercept $( 0,2 )$

Graph the equation by plotting points. - $y = - x ^ { 2 } + 5$ $Graph the equation by plotting points. - y = - x ^ { 2 } + 5$

Decide whether the relation defines a function. - $x = y ^ { 4 }$

Decide whether the relation defines a function. - $y = \sqrt { 3 x - 6 }$

Find the slope and the y-intercept of the line. - $6 x + 7 y = 52$

Graph the circle. - $x ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$ $Graph the circle. - x ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$

Find the center-radius form of the equation of the circle. -center $( 5,7 )$ , radius $\sqrt { 15 }$