Question 1

Match the description with the correct symbolic expression.
-a constant function

Accepted Answer

A)  -5x + 9y = 13 
B)  y = -5x + 13 
C)  x = -5 
D)  f(x) = -4 
A)  -5x + 9y = 13 
B)  y = -5x + 13 
C)  x = -5 
D)  f(x) = -4

Question 2

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$$4 x - 5 y = - 20 ; ( 0 , \quad ) , ( , 0 ) , ( - 1 , \quad )$$

Accepted Answer

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

Question 3

Graph the line described.
-$$\text { through } ( 0,2 ) ; \mathrm { m } = \frac { 1 } { 6 }$$

Accepted Answer

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

Question 4

Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$
-$$f ( x ) = x ^ { 2 } + 6$$

Accepted Answer

A)  a translation 6 units to the left 
B)  a translation 6 units down 
C)  a translation 6 units up 
D)  a translation 6 units to the right 
A)  a translation 6 units to the left 
B)  a translation 6 units down 
C)  a translation 6 units up 
D)  a translation 6 units to the right

Question 5

The graph of y = f(x) is given. Use the graph to find the function value.
-Find f(4).

Accepted Answer

A)  9 
B)  1.5 
C)  7 
D)  -9 
A)  9 
B)  1.5 
C)  7 
D)  -9

Question 6

Graph the line described.
-$$\text { through } ( 0,6 ) ; m = - 2$$

Accepted Answer

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

Question 7

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

Accepted Answer

A)  a vertical stretching by a factor of 3 
B)  a reflection across the $x$-axis 
C)  a translation 3 units up 
D)  a reflection across the $y$-axis 
A)  a vertical stretching by a factor of 3 
B)  a reflection across the $x$-axis 
C)  a translation 3 units up 
D)  a reflection across the $y$-axis

Question 8

Determine whether the three points are the vertices of a right triangle.
-(9, 6), (15, 8), (14, 3)

Accepted Answer

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

Question 9

List the ordered pairs from the table.
-Sales at the University Bookstore
$\begin{array}{c|r}
\text { Month } & {\text { Sales }} \
\hline 1 & \$ 670,000 \
2 & \$ 190,000 \
3 & \$ 1,090,000 \
4 & \$ 320,000
\end{array}$

Accepted Answer

A)  $( 320,000,1 ) , ( 1,090,000,2 ) , ( 190,000,3 ) , ( 670,000,4 )$ 
B)  $( 1,190,000 ) , ( 2,670,000 ) , ( 3,320,000 ) , ( 4,1,090,000 )$ 
C)  $( 1,670,000 ) , ( 2,190,000 ) , ( 3,1,090,000 ) , ( 4,320,000 )$ 
D)  $( 670,000,1 ) , ( 190,000,2 ) , ( 1,090,000,3 ) , ( 320,000,4 )$ 
A)  $( 320,000,1 ) , ( 1,090,000,2 ) , ( 190,000,3 ) , ( 670,000,4 )$ 
B)  $( 1,190,000 ) , ( 2,670,000 ) , ( 3,320,000 ) , ( 4,1,090,000 )$ 
C)  $( 1,670,000 ) , ( 2,190,000 ) , ( 3,1,090,000 ) , ( 4,320,000 )$ 
D)  $( 670,000,1 ) , ( 190,000,2 ) , ( 1,090,000,3 ) , ( 320,000,4 )$

Question 10

Match the description with the correct symbolic expression.
-a horizontal line

Accepted Answer

A)  x = -7 
B)  16x + 2y = -4 
C)  f(x) = 2 
D)  y = -7x + 16 
A)  x = -7 
B)  16x + 2y = -4 
C)  f(x) = 2 
D)  y = -7x + 16

Question 11

Find the average rate of change illustrated in the graph.
-Along with incomes, people's charitable contributions have steadily increased over the past few years. The table below shows the average deduction for charitable contributions reported on individual income tax
Returns over 6 years. Find the average rate of change per year between year 3 and year 5. $$\begin{array} { c | c } 
\text { Year } & \text { Charitable Contributions } \
\hline 1 & \$ 1600 \
2 & \$ 2430 \
3 & \$ 2500 \
4 & \$ 2790 \
5 & \$ 3030 \
6 & \$ 3140
\end{array}$$

Accepted Answer

A)  $530 per year 
B)  $320 per year 
C)  $300 per year 
D)  $265 per year 
A)  $530 per year 
B)  $320 per year 
C)  $300 per year 
D)  $265 per year

Question 12

Graph the function.
-Suppose a car rental company charges $138 for the first day and $88 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(3.5).

Accepted Answer

A)  $402 
B)  $308 
C)  $358 
D)  $446 
A)  $402 
B)  $308 
C)  $358 
D)  $446

Question 13

Describe the transformations and give the equation for the graph.
-

Accepted Answer

A)  It is the graph of $f ( x ) = \sqrt { x }$ translated 6 units to the right, reflected across the $x$-axis and translated 2 units down. The equation is $y = \sqrt { - x + 6 } - 2$ 
B)  It is the graph of $f ( x ) = \sqrt { x }$ translated 6 units to the right, reflected across the $y$-axis and translated 2 units down. The equation is $y = \sqrt { - x - 6 } - 2$ 
C)  It is the graph of $f ( x ) = \sqrt { x }$ translated 6 units to the right, reflected across the $x$-axis and translated 2 units down. The equation is $y = - \sqrt { x + 6 } - 2$ 
D)  It is the graph of $f ( x ) = \sqrt { x }$ translated 6 units to the right, reflected across the $x$-axis and translated 2 units down. The equation is $y = - \sqrt { x - 6 } - 2$ 
A)  It is the graph of $f ( x ) = \sqrt { x }$ translated 6 units to the right, reflected across the $x$-axis and translated 2 units down. The equation is $y = \sqrt { - x + 6 } - 2$ 
B)  It is the graph of $f ( x ) = \sqrt { x }$ translated 6 units to the right, reflected across the $y$-axis and translated 2 units down. The equation is $y = \sqrt { - x - 6 } - 2$ 
C)  It is the graph of $f ( x ) = \sqrt { x }$ translated 6 units to the right, reflected across the $x$-axis and translated 2 units down. The equation is $y = - \sqrt { x + 6 } - 2$ 
D)  It is the graph of $f ( x ) = \sqrt { x }$ translated 6 units to the right, reflected across the $x$-axis and translated 2 units down. The equation is $y = - \sqrt { x - 6 } - 2$

Question 14

Decide whether the relation defines a function.
-

Accepted Answer

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

Question 15

Provide an appropriate response.
-What is the midpoint of the segment joining (a, z) and (-5a, 7z)?

Accepted Answer

A)  (2a, 3z) 
B)  (-3a, 4z) 
C)  (-2a, 4z) 
D)  (-4a, 8z) 
A)  (2a, 3z) 
B)  (-3a, 4z) 
C)  (-2a, 4z) 
D)  (-4a, 8z)

Question 16

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of
these.
-$$x ^ { 2 } - y ^ { 2 } = 4$$

Accepted Answer

A)  $x$-axis, $y$-axis 
B)  $x$-axis, $y$-axis, origin 
C)  $y$-axis, origin 
D)  origin only 
A)  $x$-axis, $y$-axis 
B)  $x$-axis, $y$-axis, origin 
C)  $y$-axis, origin 
D)  origin only

Question 17

Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
-$$f ( x ) = \frac { x } { 7 - x }$$

Accepted Answer

A)  $\frac { 7 } { ( 7 - x - h ) ( 7 - x ) }$ 
B)  $\frac { h x } { ( 7 - x - h ) ( 7 + x ) }$ 
C)  $- \frac { 7 } { ( 7 - x + h ) ( 7 - x ) }$ 
D)  $\frac { x } { ( 7 - x + h ) ( 7 - x ) }$ 
A)  $\frac { 7 } { ( 7 - x - h ) ( 7 - x ) }$ 
B)  $\frac { h x } { ( 7 - x - h ) ( 7 + x ) }$ 
C)  $- \frac { 7 } { ( 7 - x + h ) ( 7 - x ) }$ 
D)  $\frac { x } { ( 7 - x + h ) ( 7 - x ) }$

Question 18

Give the domain and range of the relation.
-Annual New Telemarketing Companies
$\begin{array}{c|c}
\text { Year } & \text { Number } \
\hline 1995 & 56 \
1996 & 112 \
1997 & 187 \
1998 & 178 \
1999 & 318
\end{array}$

Accepted Answer

A)  domain:{Year}; range: {Number} 
B)  domain: $\{ 1995,1996,1997,1998,1999 \}$; range: $\{ 56,112,178,187,318 \}$ 
C)  None of these 
D)  domain: $\{ 56,112,178,187,318 \}$; range: $\{ 1995,1996,1997,1998,1999 \}$ 
A)  domain:{Year}; range: {Number} 
B)  domain: $\{ 1995,1996,1997,1998,1999 \}$; range: $\{ 56,112,178,187,318 \}$ 
C)  None of these 
D)  domain: $\{ 56,112,178,187,318 \}$; range: $\{ 1995,1996,1997,1998,1999 \}$

Question 19

Determine whether the three points are collinear.
-(-2, 6), (6, 4), (-10, 8)

Accepted Answer

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

Question 20

Graph the function.
-Suppose a life insurance policy costs $28 for the first unit of coverage and then $7 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10
Units of coverage cost?

Accepted Answer

A)  $42 
B)  $91 
C)  $70 
D)  $98 
A)  $42 
B)  $91 
C)  $70 
D)  $98

Match the description with the correct symbolic expression. -a constant function

Graph the line described. - $\text { through } ( 0,2 ) ; \mathrm { m } = \frac { 1 } { 6 }$ $Graph the line described. - \text { through } ( 0,2 ) ; \mathrm { m } = \frac { 1 } { 6 }$

Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$ - $f ( x ) = x ^ { 2 } + 6$

The graph of y = f(x) is given. Use the graph to find the function value. -Find f(4).

Graph the line described. - $\text { through } ( 0,6 ) ; m = - 2$ $Graph the line described. - \text { through } ( 0,6 ) ; m = - 2$

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

Determine whether the three points are the vertices of a right triangle. -(9, 6), (15, 8), (14, 3)

List the ordered pairs from the table. -Sales at the University Bookstore Month Sales 1 \ 670,000 2 \ 190,000 3 \ 1,090,000 4 \ 320,000

Match the description with the correct symbolic expression. -a horizontal line

Graph the function. -Suppose a car rental company charges $138 for the first day and $88 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(3.5).

Describe the transformations and give the equation for the graph. -

Decide whether the relation defines a function. -

Provide an appropriate response. -What is the midpoint of the segment joining (a, z) and (-5a, 7z)?

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $x ^ { 2 } - y ^ { 2 } = 4$

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = \frac { x } { 7 - x }$

Give the domain and range of the relation. -Annual New Telemarketing Companies Year Number 1995 56 1996 112 1997 187 1998 178 1999 318

Determine whether the three points are collinear. -(-2, 6), (6, 4), (-10, 8)

Graph the function. -Suppose a life insurance policy costs $28 for the first unit of coverage and then $7 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 Units of coverage cost?

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

Match the description with the correct symbolic expression. -a constant function

Graph the equation by determining the missing values needed to plot the ordered pairs. - 4x−5y=−20;(0,),(,0),(−1,)4 x - 5 y = - 20 ; ( 0 , \quad ) , ( , 0 ) , ( - 1 , \quad )4x−5y=−20;(0,),(,0),(−1,)

Graph the line described. - through (0,2);m=16\text { through } ( 0,2 ) ; \mathrm { m } = \frac { 1 } { 6 } through (0,2);m=61​

Describe how the graph of the equation relates to the graph of y y=x2y = x ^ { 2 }y=x2 - f(x)=x2+6f ( x ) = x ^ { 2 } + 6f(x)=x2+6

The graph of y = f(x) is given. Use the graph to find the function value. -Find f(4).

Graph the line described. - through (0,6);m=−2\text { through } ( 0,6 ) ; m = - 2 through (0,6);m=−2

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ - f(x)=3x3f ( x ) = 3 \sqrt [ 3 ] { x }f(x)=33x​

Determine whether the three points are the vertices of a right triangle. -(9, 6), (15, 8), (14, 3)

List the ordered pairs from the table. -Sales at the University Bookstore Month Sales 1 \ 670,000 2 \ 190,000 3 \ 1,090,000 4 \ 320,000

Match the description with the correct symbolic expression. -a horizontal line

Graph the function. -Suppose a car rental company charges $138 for the first day and $88 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(3.5).

Describe the transformations and give the equation for the graph. -

Decide whether the relation defines a function. -

Provide an appropriate response. -What is the midpoint of the segment joining (a, z) and (-5a, 7z)?

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - x2−y2=4x ^ { 2 } - y ^ { 2 } = 4x2−y2=4

Compute and simplify the difference quotient f(x+h)−f(x)h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h)−f(x)​,h=0 - f(x)=x7−xf ( x ) = \frac { x } { 7 - x }f(x)=7−xx​

Give the domain and range of the relation. -Annual New Telemarketing Companies Year Number 1995 56 1996 112 1997 187 1998 178 1999 318

Determine whether the three points are collinear. -(-2, 6), (6, 4), (-10, 8)

Graph the function. -Suppose a life insurance policy costs $28 for the first unit of coverage and then $7 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 Units of coverage cost?

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

Graph the line described. - $\text { through } ( 0,2 ) ; \mathrm { m } = \frac { 1 } { 6 }$ $Graph the line described. - \text { through } ( 0,2 ) ; \mathrm { m } = \frac { 1 } { 6 }$

Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$ - $f ( x ) = x ^ { 2 } + 6$

Graph the line described. - $\text { through } ( 0,6 ) ; m = - 2$ $Graph the line described. - \text { through } ( 0,6 ) ; m = - 2$

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

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $x ^ { 2 } - y ^ { 2 } = 4$

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = \frac { x } { 7 - x }$