Question 1

Find the center and radius of the circle.
-$$x ^ { 2 } + y ^ { 2 } + 18 x - 4 y + 76 = 0$$

Accepted Answer

A)  center: (-2, 9); radius: 9 
B)  center: (9, -2); radius: 9 
C)  center: (2, -9); radius: 3 
D)  center: (-9, 2); radius: 3 
A)  center: (-2, 9); radius: 9 
B)  center: (9, -2); radius: 9 
C)  center: (2, -9); radius: 3 
D)  center: (-9, 2); radius: 3

Question 2

Find the center-radius form of the circle described or graphed.
-a circle having a diameter with endpoints $( 5 , - 3 )$ and $( 5,3 )$

Accepted Answer

A)  $x ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$ 
B)  $( x - 5 ) ^ { 2 } + y ^ { 2 } = 3$ 
C)  $( x - 5 ) ^ { 2 } + y ^ { 2 } = 9$ 
D)  $( x + 3 ) ^ { 2 } + y ^ { 2 } = 25$ 
A)  $x ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$ 
B)  $( x - 5 ) ^ { 2 } + y ^ { 2 } = 3$ 
C)  $( x - 5 ) ^ { 2 } + y ^ { 2 } = 9$ 
D)  $( x + 3 ) ^ { 2 } + y ^ { 2 } = 25$

Question 3

Graph the point symmetric to the given point.
-Plot the point (7, 8), then plot the point that is symmetric to (7, 8) with respect to the x-axis.

Accepted Answer

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

Question 4

Solve the problem. Write all linear equations in slope-intercept form.
-A house was purchased for $\$ 84,000$. After 7 years the value of the house was $\$ 147,000$. Find a linear equation that models the value of the house after $x$ years.

Accepted Answer

A)  $y = 147,000$ 
B)  $y = 7 x + 84,000$ 
C)  $\mathrm { y } = 9000 \mathrm { x }$ 
D)  $y = 9000 x + 84,000$ 
A)  $y = 147,000$ 
B)  $y = 7 x + 84,000$ 
C)  $\mathrm { y } = 9000 \mathrm { x }$ 
D)  $y = 9000 x + 84,000$

Question 5

Find the slope of the line satisfying the given conditions.
-through $( - 8 , - 3 )$ and $( - 4 , - 6 )$

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  $- \frac { 3 } { 4 }$ 
C)  $\frac { 4 } { 3 }$ 
D)  $- \frac { 4 } { 3 }$ 
A)  $\frac { 3 } { 4 }$ 
B)  $- \frac { 3 } { 4 }$ 
C)  $\frac { 4 } { 3 }$ 
D)  $- \frac { 4 } { 3 }$

Question 6

For the points P and Q, find the distance d(P, Q).
-$$\mathrm { P } ( - 3 , - 4 ) , \mathrm { Q } ( 3,5 )$$

Accepted Answer

A)  3 
B)  45 
C)  $3 \sqrt { 13 }$ 
D)  $45 \sqrt { 5 }$ 
A)  3 
B)  45 
C)  $3 \sqrt { 13 }$ 
D)  $45 \sqrt { 5 }$

Question 7

Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
-$$f ( x ) = 9 x ^ { 2 } + 5 x$$

Accepted Answer

A)  $27 x - 11 h + 10$ 
B)  $18 x + 5$ 
C)  $18 x ^ { 2 } + 9 h + 5 x$ 
D)  $18 x + 9 h + 5$ 
A)  $27 x - 11 h + 10$ 
B)  $18 x + 5$ 
C)  $18 x ^ { 2 } + 9 h + 5 x$ 
D)  $18 x + 9 h + 5$

Question 8

Graph the function.
-$f(x)=(x-2)^{2}$

Accepted Answer

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

Question 9

Give the domain and range of the relation.
-

Accepted Answer

A)  domain: $( - \infty , - 2 )$ or $( - 2 , \infty )$; range: $( - \infty , 5 )$ or $( 5 , \infty )$ 
B)  domain: $( - \infty , - 2 ]$; range: $( - \infty , 5 ]$ 
C)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $( - \infty , 5 ]$ 
A)  domain: $( - \infty , - 2 )$ or $( - 2 , \infty )$; range: $( - \infty , 5 )$ or $( 5 , \infty )$ 
B)  domain: $( - \infty , - 2 ]$; range: $( - \infty , 5 ]$ 
C)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $( - \infty , 5 ]$

Question 10

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

Accepted Answer

A)  It is the graph of $f ( x ) = | x |$ translated 5 units to the left, shrunken vertically by a factor of $\frac { 1 } { 4 }$ and translated 7 units down. The equation is $y = \frac { 1 } { 4 } | x - 5 | - 7$ 
B)  It is the graph of $\mathrm { f } ( \mathrm { x } ) = | \mathrm { x } |$ translated 5 units to the left, stretched vertically by a factor of 4 and translated 7 units down. The equation is $\mathrm { y } = 4 | \mathrm { x } + 5 | - 7$ 
C)  It is the graph of $f ( x ) = | x |$ translated 5 units to the left, shrunken vertically by a factor of $\frac { 1 } { 4 }$ and translated 7 units down. The equation is $y = \frac { 1 } { 4 } | x + 5 | - 7$ 
D)  It is the graph of $f ( x ) = | x |$ translated 5 units to the left, stretched vertically by a factor of 4 and translated 7 units down. The equation is $\mathrm { y } = 4 | \mathrm { x } - 5 | + 7$ 
A)  It is the graph of $f ( x ) = | x |$ translated 5 units to the left, shrunken vertically by a factor of $\frac { 1 } { 4 }$ and translated 7 units down. The equation is $y = \frac { 1 } { 4 } | x - 5 | - 7$ 
B)  It is the graph of $\mathrm { f } ( \mathrm { x } ) = | \mathrm { x } |$ translated 5 units to the left, stretched vertically by a factor of 4 and translated 7 units down. The equation is $\mathrm { y } = 4 | \mathrm { x } + 5 | - 7$ 
C)  It is the graph of $f ( x ) = | x |$ translated 5 units to the left, shrunken vertically by a factor of $\frac { 1 } { 4 }$ and translated 7 units down. The equation is $y = \frac { 1 } { 4 } | x + 5 | - 7$ 
D)  It is the graph of $f ( x ) = | x |$ translated 5 units to the left, stretched vertically by a factor of 4 and translated 7 units down. The equation is $\mathrm { y } = 4 | \mathrm { x } - 5 | + 7$

Question 11

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-y = 4f(x)

Accepted Answer

A)  (8, 4) 
B)  (5, 3) 
C)  (3, 8) 
D)  (2, 16) 
A)  (8, 4) 
B)  (5, 3) 
C)  (3, 8) 
D)  (2, 16)

Question 12

The figure below shows the graph of a function y = f(x). Use this graph to solve the problem.
-$$\text { Sketch the graph of } y = f ( - x ) \text {. }$$

Accepted Answer

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

Question 13

Use the graph to solve the problem.
-The surface area a of a cylinder is shown in the graph below. What is the radius $\mathrm { r }$ if the surface area is $5 \mathrm {~m} ^ { 2 }$ ?

Accepted Answer

A)  $0.4 \mathrm {~m}$ 
B)  $0.0 \mathrm {~m}$ 
C)  $0.2 \mathrm {~m}$ 
D)  $0.6 \mathrm {~m}$ 
A)  $0.4 \mathrm {~m}$ 
B)  $0.0 \mathrm {~m}$ 
C)  $0.2 \mathrm {~m}$ 
D)  $0.6 \mathrm {~m}$

Question 14

Graph the equation by plotting points.
-$y=\sqrt{x}-6$

Accepted Answer

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

Question 15

Give the domain and range of the relation.
-

Accepted Answer

A)  domain: $\{ - 2 \}$; range: $( - \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
C) $\text { domain: }(-\infty, \infty) \text {; range: }\{-2\}$ 
D)  domain: $( - \infty , - 2 ) \cup ( - 2 , \infty )$; range: $( - \infty , \infty )$ 
A)  domain: $\{ - 2 \}$; range: $( - \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
C) $\text { domain: }(-\infty, \infty) \text {; range: }\{-2\}$ 
D)  domain: $( - \infty , - 2 ) \cup ( - 2 , \infty )$; range: $( - \infty , \infty )$

Question 16

List the ordered pairs from the table.
-Sales at the University Bookstore

Accepted Answer

A)  $( 630,000,1 ) , ( 220,000,2 ) , ( 1,120,000,3 ) , ( 330,000,4 )$ 
B)  $( 330,000,1 ) , ( 1,120,000,2 ) , ( 220,000,3 ) , ( 630,000,4 )$ 
C)  $( 1,220,000 ) , ( 2,630,000 ) , ( 3,330,000 ) , ( 4,1,120,000 )$ 
D)  $( 1,630,000 ) , ( 2,220,000 ) , ( 3,1,120,000 ) , ( 4,330,000 )$ 
A)  $( 630,000,1 ) , ( 220,000,2 ) , ( 1,120,000,3 ) , ( 330,000,4 )$ 
B)  $( 330,000,1 ) , ( 1,120,000,2 ) , ( 220,000,3 ) , ( 630,000,4 )$ 
C)  $( 1,220,000 ) , ( 2,630,000 ) , ( 3,330,000 ) , ( 4,1,120,000 )$ 
D)  $( 1,630,000 ) , ( 2,220,000 ) , ( 3,1,120,000 ) , ( 4,330,000 )$

Question 17

Provide an appropriate response.
-If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, -b)?

Accepted Answer

A)  III 
B)  I 
C)  II 
D)  IV 
A)  III 
B)  I 
C)  II 
D)  IV

Question 18

Solve the problem.
-A school has just purchased new computer equipment for $\$ 23,000.00$. The graph shows the depreciation of the equipment over 5 years. The point $( 0,23,000 )$ represents the purchase price and the point $( 5,0 )$ represents when the equipment will be replaced. Find and interpret the average rate of change in cost per year.

Accepted Answer

A)  - $\$ 4600$ per year; the value of the equipment decreases by $\$ 4600$ per year during these years. 
B)  $- \$ 13,800$ per year; the value of the equipment decreases by $\$ 13,800$ per year during these years. 
C)  $- \$ 23,000$ per year; the value of the equipment decreases by $\$ 23,000$ per year during these years. 
D)  $\$ 4600$ per year; the value of the equipment increases by $\$ 4600$ per year during these years. 
A)  - $\$ 4600$ per year; the value of the equipment decreases by $\$ 4600$ per year during these years. 
B)  $- \$ 13,800$ per year; the value of the equipment decreases by $\$ 13,800$ per year during these years. 
C)  $- \$ 23,000$ per year; the value of the equipment decreases by $\$ 23,000$ per year during these years. 
D)  $\$ 4600$ per year; the value of the equipment increases by $\$ 4600$ per year during these years.

Question 19

Use a graphing calculator to solve the linear equation.
-The graph of $y _ { 1 }$ is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation $y _ { 1 } = 0$ ?
$$- 30 , - \frac { 31 } { 6 } , \frac { 31 } { 6 } , 30$$

Accepted Answer

A)  $- \frac { 31 } { 6 }$ 
B)  $\frac { 31 } { 6 }$ 
C)  30 
D)  $- 30$ 
A)  $- \frac { 31 } { 6 }$ 
B)  $\frac { 31 } { 6 }$ 
C)  30 
D)  $- 30$

Question 20

Match the equation with the correct graph.
-$$y + 2 = \frac { 8 } { 7 } ( x - 5 )$$

Accepted Answer

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

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 18 x - 4 y + 76 = 0$

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints $( 5 , - 3 )$ and $( 5,3 )$

Graph the point symmetric to the given point. -Plot the point (7, 8), then plot the point that is symmetric to (7, 8) with respect to the x-axis.

Solve the problem. Write all linear equations in slope-intercept form. -A house was purchased for $\$ 84,000$ . After 7 years the value of the house was $\$ 147,000$ . Find a linear equation that models the value of the house after $x$ years.

Find the slope of the line satisfying the given conditions. -through $( - 8 , - 3 )$ and $( - 4 , - 6 )$

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( - 3 , - 4 ) , \mathrm { Q } ( 3,5 )$

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = 9 x ^ { 2 } + 5 x$

Graph the function. - $f(x)=(x-2)^{2}$ $Graph the function. - f(x)=(x-2)^{2}$

Give the domain and range of the relation. -

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

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -y = 4f(x)

Graph the equation by plotting points. - $y=\sqrt{x}-6$ $Graph the equation by plotting points. - y=\sqrt{x}-6$

Give the domain and range of the relation. -

List the ordered pairs from the table. -Sales at the University Bookstore

Provide an appropriate response. -If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, -b)?

Match the equation with the correct graph. - $y + 2 = \frac { 8 } { 7 } ( x - 5 )$

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

Review of Basic Concepts

Filters

Exam 2: Graphs and Functions

Find the center and radius of the circle. - x2+y2+18x−4y+76=0x ^ { 2 } + y ^ { 2 } + 18 x - 4 y + 76 = 0x2+y2+18x−4y+76=0

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints (5,−3)( 5 , - 3 )(5,−3) and (5,3)( 5,3 )(5,3)

Graph the point symmetric to the given point. -Plot the point (7, 8), then plot the point that is symmetric to (7, 8) with respect to the x-axis.

Solve the problem. Write all linear equations in slope-intercept form. -A house was purchased for $84,000\$ 84,000$84,000 . After 7 years the value of the house was $147,000\$ 147,000$147,000 . Find a linear equation that models the value of the house after xxx years.

Find the slope of the line satisfying the given conditions. -through (−8,−3)( - 8 , - 3 )(−8,−3) and (−4,−6)( - 4 , - 6 )(−4,−6)

For the points P and Q, find the distance d(P, Q). - P(−3,−4),Q(3,5)\mathrm { P } ( - 3 , - 4 ) , \mathrm { Q } ( 3,5 )P(−3,−4),Q(3,5)

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)=9x2+5xf ( x ) = 9 x ^ { 2 } + 5 xf(x)=9x2+5x

Graph the function. - f(x)=(x−2)2f(x)=(x-2)^{2}f(x)=(x−2)2

Give the domain and range of the relation. -

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

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -y = 4f(x)

The figure below shows the graph of a function y = f(x). Use this graph to solve the problem. - Sketch the graph of y=f(−x). \text { Sketch the graph of } y = f ( - x ) \text {. } Sketch the graph of y=f(−x).

Use the graph to solve the problem. -The surface area a of a cylinder is shown in the graph below. What is the radius r\mathrm { r }r if the surface area is 5 m25 \mathrm {~m} ^ { 2 }5 m2 ?

Graph the equation by plotting points. - y=x−6y=\sqrt{x}-6y=x​−6

Give the domain and range of the relation. -

List the ordered pairs from the table. -Sales at the University Bookstore

Provide an appropriate response. -If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, -b)?

Match the equation with the correct graph. - y+2=87(x−5)y + 2 = \frac { 8 } { 7 } ( x - 5 )y+2=78​(x−5)

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

Review of Basic Concepts

Filters

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 18 x - 4 y + 76 = 0$

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints $( 5 , - 3 )$ and $( 5,3 )$

Solve the problem. Write all linear equations in slope-intercept form. -A house was purchased for $\$ 84,000$ . After 7 years the value of the house was $\$ 147,000$ . Find a linear equation that models the value of the house after $x$ years.

Find the slope of the line satisfying the given conditions. -through $( - 8 , - 3 )$ and $( - 4 , - 6 )$

For the points P and Q, find the distance d(P, Q). - $\mathrm { P } ( - 3 , - 4 ) , \mathrm { Q } ( 3,5 )$

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = 9 x ^ { 2 } + 5 x$

Graph the function. - $f(x)=(x-2)^{2}$ $Graph the function. - f(x)=(x-2)^{2}$

Graph the equation by plotting points. - $y=\sqrt{x}-6$ $Graph the equation by plotting points. - y=\sqrt{x}-6$

Match the equation with the correct graph. - $y + 2 = \frac { 8 } { 7 } ( x - 5 )$