Question 1

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such.
-$f(x)=6 x-1$

Accepted Answer

A)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = ( - \infty , \infty )$
  
B)  $\mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty )$
  
C)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = ( - \infty , \infty )$
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty )$
  
A)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = ( - \infty , \infty )$
  
B)  $\mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty )$
  
C)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = ( - \infty , \infty )$
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty )$

Question 2

Write an equation for the line described. Give your answer in slope-intercept form.
-horizontal, through $( 3 , - 5 )$

Accepted Answer

A)  $y = 3$ 
B)  $x = 3$ 
C)  $x = - 5$ 
D)  $y = - 5$ 
A)  $y = 3$ 
B)  $x = 3$ 
C)  $x = - 5$ 
D)  $y = - 5$

Question 3

Find the center-radius form of the equation of the circle.
-center $( 0 , - 2 )$, radius $\sqrt { 7 }$

Accepted Answer

A)  $( x - 2 ) ^ { 2 } + y ^ { 2 } = 49$ 
B)  $x ^ { 2 } + ( y + 2 ) ^ { 2 } = 7$ 
C)  $x ^ { 2 } + ( y - 2 ) ^ { 2 } = 7$ 
D)  $( x + 2 ) ^ { 2 } + y ^ { 2 } = 49$ 
A)  $( x - 2 ) ^ { 2 } + y ^ { 2 } = 49$ 
B)  $x ^ { 2 } + ( y + 2 ) ^ { 2 } = 7$ 
C)  $x ^ { 2 } + ( y - 2 ) ^ { 2 } = 7$ 
D)  $( x + 2 ) ^ { 2 } + y ^ { 2 } = 49$

Question 4

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$f(x)=-\frac{1}{2} x^{2}$

Accepted Answer

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

Question 5

Give the domain and range of the relation.
-Find $f ( 0 )$ when $f ( x ) = x ^ { 2 } - 2 x - 2$

Accepted Answer

A)  2 
B)  0 
C)  $- 2$ 
D)  4 
A)  2 
B)  0 
C)  $- 2$ 
D)  4

Question 6

Find the slope of the line and sketch the graph.
-$y+5=0$

Accepted Answer

A)  $m = - 5$
  
B)  $\mathrm { m } = - \frac { 1 } { 5 }$
  
C)  $\mathrm { m } = 0$
  
D)  m: undefined
  
A)  $m = - 5$
  
B)  $\mathrm { m } = - \frac { 1 } { 5 }$
  
C)  $\mathrm { m } = 0$
  
D)  m: undefined

Question 7

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)  Increasing $( - \infty , 3 )$; Decreasing $( - \infty , 3 )$ 
B)  Increasing $( - \infty , 3 )$; Decreasing $( 3 , \infty )$ 
C)  Increasing $( 3 , \infty )$; Decreasing $( - \infty , 3 )$ 
D)  Increasing $( 3 , \infty )$; Decreasing $( 3 \infty )$ 
A)  Increasing $( - \infty , 3 )$; Decreasing $( - \infty , 3 )$ 
B)  Increasing $( - \infty , 3 )$; Decreasing $( 3 , \infty )$ 
C)  Increasing $( 3 , \infty )$; Decreasing $( - \infty , 3 )$ 
D)  Increasing $( 3 , \infty )$; Decreasing $( 3 \infty )$

Question 8

Write an equation for the line described. Write the equation in the form specified.
-perpendicular to $x = - 3$, through $( 8,7 )$

Accepted Answer

A)  $x = 8$ 
B)  $\mathrm { y } = 8$ 
C)  $x = 7$ 
D)  $y = 7$ 
A)  $x = 8$ 
B)  $\mathrm { y } = 8$ 
C)  $x = 7$ 
D)  $y = 7$

Question 9

Write an equation for the line described. Give your answer in slope-intercept form.
-slope $0 , \mathrm { y }$-intercept $\left( 0 , - \frac { 5 } { 8 } \right)$

Accepted Answer

A)  $x = - \frac { 5 } { 8 }$ 
B)  $y = - \frac { 5 } { 8 }$ 
C)  $y = \frac { 5 } { 8 } x$ 
D)  $y = - \frac { 5 } { 8 } x$ 
A)  $x = - \frac { 5 } { 8 }$ 
B)  $y = - \frac { 5 } { 8 }$ 
C)  $y = \frac { 5 } { 8 } x$ 
D)  $y = - \frac { 5 } { 8 } x$

Question 10

For the points P and Q, find the coordinates of the midpoint of the segment PQ.
-P(5, 9), Q(7, 1)

Accepted Answer

A)  $( 12,10 )$ 
B)  $( - 2,8 )$ 
C)  $( 6,5 )$ 
D)  $( - 1,4 )$ 
A)  $( 12,10 )$ 
B)  $( - 2,8 )$ 
C)  $( 6,5 )$ 
D)  $( - 1,4 )$

Question 11

For the pair of functions, find the indicated sum, difference, product, or quotient.
-$$f ( x ) = 5 - 3 x , g ( x ) = - 8 x + 3$$
Find $( f + g ) ( x )$.

Accepted Answer

A)  $- 11 x + 8$ 
B)  $- 3 x$ 
C)  $5 x + 8$ 
D)  $- 8 x + 5$ 
A)  $- 11 x + 8$ 
B)  $- 3 x$ 
C)  $5 x + 8$ 
D)  $- 8 x + 5$

Question 12

Graph the line and give the domain and the range.
-$$3 y + 21 = 0$$

Accepted Answer

A)  $\mathrm { D } = \{ - 7 \} , \mathrm { R } = ( - \infty , \infty )$
  
B)  $\mathrm { D } = \{ - 7 \} , \mathrm { R } = ( - \infty , \infty )$
  
C)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ - 7 \}$
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ - 7 \}$
  
A)  $\mathrm { D } = \{ - 7 \} , \mathrm { R } = ( - \infty , \infty )$
  
B)  $\mathrm { D } = \{ - 7 \} , \mathrm { R } = ( - \infty , \infty )$
  
C)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ - 7 \}$
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ - 7 \}$

Question 13

Find the requested value.
-$$\text { Using the given tables, find } ( g f ) ( 2 )$$

Accepted Answer

A)  3 
B)  7 
C)  5 
D)  2 
A)  3 
B)  7 
C)  5 
D)  2

Question 14

Provide an appropriate response.
-If a vertical line is drawn through the point (3, -4), where will it intersect the x-axis?

Accepted Answer

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

Question 15

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.  
-At what times was the temperature higher than 77°F?

Accepted Answer

A)  from 12 p.m. until 3 p.m. 
B)  after 12 p.m. 
C)  from 11 a.m. until 3 p.m. 
D)  from 12 p.m. until 1 p.m. 
A)  from 12 p.m. until 3 p.m. 
B)  after 12 p.m. 
C)  from 11 a.m. until 3 p.m. 
D)  from 12 p.m. until 1 p.m.

Question 16

Determine the intervals of the domain over which the function is continuous.
-

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $( - \infty , 4 ) \cup ( 4 , \infty )$ 
C)  $( - \infty , - 2 ) \cup ( - 2 , \infty )$ 
D)  $[ 0 , \infty ]$ 
A)  $( - \infty , \infty )$ 
B)  $( - \infty , 4 ) \cup ( 4 , \infty )$ 
C)  $( - \infty , - 2 ) \cup ( - 2 , \infty )$ 
D)  $[ 0 , \infty ]$

Question 17

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

Accepted Answer

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

Question 18

Determine whether the three points are collinear.
-$$\text { Which one is the graph of } y = [ [ x ] ] \text { ? What is the value of } y \text { when } x = 1.5 \text { ? }$$

Accepted Answer

A)  graph B; 2.25 
B)  graph D; 1 
C)  graph C; 1 
D)  graph A; 2.25 
A)  graph B; 2.25 
B)  graph D; 1 
C)  graph C; 1 
D)  graph A; 2.25

Question 19

Give the domain and range of the relation.
-

Accepted Answer

A)  None of these 
B)  domain: {5, 8, 13}; range: {4, 7, 12} 
C)  domain: {4, 5, 7}; range: {8, 12, 13} 
D)  domain: {4, 7, 12}; range: {5, 8, 13} 
A)  None of these 
B)  domain: {5, 8, 13}; range: {4, 7, 12} 
C)  domain: {4, 5, 7}; range: {8, 12, 13} 
D)  domain: {4, 7, 12}; range: {5, 8, 13}

Question 20

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$$g ( x ) = - ( x + 2 ) ^ { 3 } - 3$$

Accepted Answer

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

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $f(x)=6 x-1$

Write an equation for the line described. Give your answer in slope-intercept form. -horizontal, through $( 3 , - 5 )$

Find the center-radius form of the equation of the circle. -center $( 0 , - 2 )$ , radius $\sqrt { 7 }$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=-\frac{1}{2} x^{2}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=-\frac{1}{2} x^{2}$

Give the domain and range of the relation. -Find $f ( 0 )$ when $f ( x ) = x ^ { 2 } - 2 x - 2$

Find the slope of the line and sketch the graph. - $y+5=0$

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

Write an equation for the line described. Write the equation in the form specified. -perpendicular to $x = - 3$ , through $( 8,7 )$

Write an equation for the line described. Give your answer in slope-intercept form. -slope $0 , \mathrm { y }$ -intercept $\left( 0 , - \frac { 5 } { 8 } \right)$

For the points P and Q, find the coordinates of the midpoint of the segment PQ. -P(5, 9), Q(7, 1)

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = 5 - 3 x , g ( x ) = - 8 x + 3$ Find $( f + g ) ( x )$ .

Graph the line and give the domain and the range. - $3 y + 21 = 0$

Find the requested value. - $\text { Using the given tables, find } ( g f ) ( 2 )$ $Find the requested value. - \text { Using the given tables, find } ( g f ) ( 2 )$

Provide an appropriate response. -If a vertical line is drawn through the point (3, -4), where will it intersect the x-axis?

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what times was the temperature higher than 77°F?

Determine the intervals of the domain over which the function is continuous. -

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

Determine whether the three points are collinear. - $\text { Which one is the graph of } y = [ [ x ] ] \text { ? What is the value of } y \text { when } x = 1.5 \text { ? }$

Give the domain and range of the relation. -

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $g ( x ) = - ( x + 2 ) ^ { 3 } - 3$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - g ( x ) = - ( x + 2 ) ^ { 3 } - 3$

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 3: Graphs and Functions

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - f(x)=6x−1f(x)=6 x-1f(x)=6x−1

Write an equation for the line described. Give your answer in slope-intercept form. -horizontal, through (3,−5)( 3 , - 5 )(3,−5)

Find the center-radius form of the equation of the circle. -center (0,−2)( 0 , - 2 )(0,−2) , radius 7\sqrt { 7 }7​

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - f(x)=−12x2f(x)=-\frac{1}{2} x^{2}f(x)=−21​x2

Give the domain and range of the relation. -Find f(0)f ( 0 )f(0) when f(x)=x2−2x−2f ( x ) = x ^ { 2 } - 2 x - 2f(x)=x2−2x−2

Find the slope of the line and sketch the graph. - y+5=0y+5=0y+5=0