Question 1

Determine the intervals of the domain over which the function is continuous.
-$$P ( - 2 , - 4 )$$

Accepted Answer

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

Question 2

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

Accepted Answer

A)  It is the graph of $f ( x ) = \sqrt { x }$ translated 7 units to the right, reflected across the $x$-axis and translated 8 units down. The equation is $\mathrm { y } = \sqrt { - \mathrm { x } + 7 } - 8$ 
B)  It is the graph of $f ( x ) = \sqrt { x }$ translated 7 units to the right, reflected across the $x$-axis and translated 8 units down. The equation is $y = - \sqrt { x + 7 } - 8$ 
C)  It is the graph of $f ( x ) = \sqrt { x }$ translated 7 units to the right, reflected across the $x$-axis and translated 8 units down. The equation is $y = - \sqrt { x - 7 } - 8$ 
D)  It is the graph of $f ( x ) = \sqrt { x }$ translated 7 units to the right, reflected across the $y$-axis and translated 8 units down. The equation is $\mathrm { y } = \sqrt { - \mathrm { x } - 7 } - 8$ 
A)  It is the graph of $f ( x ) = \sqrt { x }$ translated 7 units to the right, reflected across the $x$-axis and translated 8 units down. The equation is $\mathrm { y } = \sqrt { - \mathrm { x } + 7 } - 8$ 
B)  It is the graph of $f ( x ) = \sqrt { x }$ translated 7 units to the right, reflected across the $x$-axis and translated 8 units down. The equation is $y = - \sqrt { x + 7 } - 8$ 
C)  It is the graph of $f ( x ) = \sqrt { x }$ translated 7 units to the right, reflected across the $x$-axis and translated 8 units down. The equation is $y = - \sqrt { x - 7 } - 8$ 
D)  It is the graph of $f ( x ) = \sqrt { x }$ translated 7 units to the right, reflected across the $y$-axis and translated 8 units down. The equation is $\mathrm { y } = \sqrt { - \mathrm { x } - 7 } - 8$

Question 3

Solve the problem.
-A furniture store buys 40 footstools from a distributor at a cost of $190 each plus an overhead charge of $20 per order. The retail markup is 25% on the total price paid. Find the profit on the sale
Of one footstool.

Accepted Answer

A)  $4763.00 
B)  $47.50 
C)  $47.38 
D)  $47.63 
A)  $4763.00 
B)  $47.50 
C)  $47.38 
D)  $47.63

Question 4

Find the slope and the y-intercept of the line.
-$$- 4 y = 3 x$$

Accepted Answer

A)  slope: $- \frac { 4 } { 3 } ; \mathrm { y }$-intercept: 0 
B)  slope: $- \frac { 3 } { 4 } ; y$-intercept: 0 
C)  slope: $0 ; y$-intercept: $- \frac { 4 } { 3 }$ 
D)  slope: $0 ; y$-intercept: $- \frac { 3 } { 4 }$ 
A)  slope: $- \frac { 4 } { 3 } ; \mathrm { y }$-intercept: 0 
B)  slope: $- \frac { 3 } { 4 } ; y$-intercept: 0 
C)  slope: $0 ; y$-intercept: $- \frac { 4 } { 3 }$ 
D)  slope: $0 ; y$-intercept: $- \frac { 3 } { 4 }$

Question 5

Match the description with the correct symbolic expression.
-a function that is not linear

Accepted Answer

A)  f(x) = -5x + 4 
B)  f(x) = 4x + 7 
C)  f(x) = -3 
D)  f(x) = x7 - 5 
A)  f(x) = -5x + 4 
B)  f(x) = 4x + 7 
C)  f(x) = -3 
D)  f(x) = x7 - 5

Question 6

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.
-$$x ^ { 2 } + y ^ { 2 } - 6 x - 4 y - 12 = 0$$

Accepted Answer

A)  no; the graph is the point $( 3,2 )$ 
B)  yes 
C)  no; the graph is the point $( - 3 , - 2 )$ 
D)  no; the graph is nonexistent 
A)  no; the graph is the point $( 3,2 )$ 
B)  yes 
C)  no; the graph is the point $( - 3 , - 2 )$ 
D)  no; the graph is nonexistent

Question 7

Determine if the function is even, odd, or neither.
-$$f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 5$$

Accepted Answer

A)  Odd 
B)  Neither 
C)  Even 
A)  Odd 
B)  Neither 
C)  Even

Question 8

Give the domain and range of the relation.
-

Accepted Answer

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

Question 9

Provide an appropriate response.
-If a vertical line is drawn through the point $( 1,8 )$, where will it intersect the $x$-axis?

Accepted Answer

A)  $( 8,0 )$ 
B)  $( 0,8 )$ 
C)  $( 0,1 )$ 
D)  $( 1,0 )$ 
A)  $( 8,0 )$ 
B)  $( 0,8 )$ 
C)  $( 0,1 )$ 
D)  $( 1,0 )$

Question 10

Graph the function.
-$f(x)=2(-x)^{3}$

Accepted Answer

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

Question 11

Solve the problem.
-A lumber yard has fixed costs of $4391.40 per day and variable costs of $0.59 per board-foot produced. Lumber sells for $1.89 per board-foot. How many board-feet must be produced and
Sold daily to break even?

Accepted Answer

A)  7443 board-feet 
B)  2252 board-feet 
C)  3378 board-feet 
D)  1770 board-feet 
A)  7443 board-feet 
B)  2252 board-feet 
C)  3378 board-feet 
D)  1770 board-feet

Question 12

Graph the function.
-$y=\sqrt{x-5}-1$

Accepted Answer

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

Question 13

Choose the value which could represent the slope of the line. Assume that the scale on the x -axis is the same as the scale
on the y-axis.
-

Accepted Answer

A)  $- 3$ 
B)  undefined 
C)  $\frac { 3 } { 2 }$ 
D)  0 
A)  $- 3$ 
B)  undefined 
C)  $\frac { 3 } { 2 }$ 
D)  0

Question 14

Use the graph to determine the equation of the circle in center-radius form.
-

Accepted Answer

A)  $( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 3$ 
B)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 3$ 
D)  $( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9$ 
A)  $( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 3$ 
B)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 3$ 
D)  $( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9$

Question 15

Solve the problem.
-Regrind, Inc. regrinds used typewriter platens. The variable cost to regrind each platen is $\$ 1.70$. The total cost to regrind 100 platens is $\$ 500$. Find the linear cost function to regrind platens. If reground platens sell for $\$ 8.10$ each, how many must be reground and sold to break even?

Accepted Answer

A)  $C ( x ) = 1.70 x + 500 ; 79$ platens 
B)  $C ( x ) = 1.70 x + 330$; 34 platens 
C)  $\mathrm { C } ( \mathrm { x } ) = 1.70 \mathrm { x } + 330 ; 52$ platens 
D)  $C ( x ) = 1.70 x + 500$; 51 platens 
A)  $C ( x ) = 1.70 x + 500 ; 79$ platens 
B)  $C ( x ) = 1.70 x + 330$; 34 platens 
C)  $\mathrm { C } ( \mathrm { x } ) = 1.70 \mathrm { x } + 330 ; 52$ platens 
D)  $C ( x ) = 1.70 x + 500$; 51 platens

Question 16

Determine the intervals of the domain for which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)  Increasing $[ 1 , \infty )$; Decreasing $( - \infty , 1 ]$ 
B)  Increasing $( - \infty , 1 ]$; Decreasing $[ 1 , \infty )$ 
C)  Increasing $[ 1 , \infty )$; Decreasing $[ 1 \infty )$ 
D)  Increasing $( - \infty , 1 ]$; Decreasing $( - \infty , 1 ]$ 
A)  Increasing $[ 1 , \infty )$; Decreasing $( - \infty , 1 ]$ 
B)  Increasing $( - \infty , 1 ]$; Decreasing $[ 1 , \infty )$ 
C)  Increasing $[ 1 , \infty )$; Decreasing $[ 1 \infty )$ 
D)  Increasing $( - \infty , 1 ]$; Decreasing $( - \infty , 1 ]$

Question 17

Graph the function.
-$$g ( x ) = \frac { 1 } { 3 } | x - 3 | - 6$$

Accepted Answer

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

Question 18

Write an equation for the line described. Write the equation in the form specified.
-parallel to $\mathrm { y } = 7$, through $( 2,9 )$

Accepted Answer

A)  $y = - 9$ 
B)  $y = 9$ 
C)  $y = 2$ 
D)  $\mathrm { y } = 7$ 
A)  $y = - 9$ 
B)  $y = 9$ 
C)  $y = 2$ 
D)  $\mathrm { y } = 7$

Question 19

Decide whether the relation defines a function.
-$$4 x - 10 y > - 10$$

Accepted Answer

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

Question 20

Find the slope and the y-intercept of the line.
-$$y - \frac { 5 } { 2 } x + 3 = 0$$

Accepted Answer

A)  slope: $\frac { 5 } { 2 } ; \mathrm { y }$-intercept: 3 
B)  slope: $\frac { 5 } { 2 } ; y$-intercept $- 3$ 
C)  slope: $- 3 ; y$-intercept: $\frac { 5 } { 2 }$ 
D)  slope: $3 ; y$-intercept: $- \frac { 5 } { 2 }$ 
A)  slope: $\frac { 5 } { 2 } ; \mathrm { y }$-intercept: 3 
B)  slope: $\frac { 5 } { 2 } ; y$-intercept $- 3$ 
C)  slope: $- 3 ; y$-intercept: $\frac { 5 } { 2 }$ 
D)  slope: $3 ; y$-intercept: $- \frac { 5 } { 2 }$

Determine the intervals of the domain over which the function is continuous. - $P ( - 2 , - 4 )$

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

Solve the problem. -A furniture store buys 40 footstools from a distributor at a cost of $190 each plus an overhead charge of $20 per order. The retail markup is 25% on the total price paid. Find the profit on the sale Of one footstool.

Find the slope and the y-intercept of the line. - $- 4 y = 3 x$

Match the description with the correct symbolic expression. -a function that is not linear

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - $x ^ { 2 } + y ^ { 2 } - 6 x - 4 y - 12 = 0$

Determine if the function is even, odd, or neither. - $f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 5$

Give the domain and range of the relation. -

Provide an appropriate response. -If a vertical line is drawn through the point $( 1,8 )$ , where will it intersect the $x$ -axis?

Graph the function. - $f(x)=2(-x)^{3}$ $Graph the function. - f(x)=2(-x)^{3}$

Solve the problem. -A lumber yard has fixed costs of $4391.40 per day and variable costs of $0.59 per board-foot produced. Lumber sells for $1.89 per board-foot. How many board-feet must be produced and Sold daily to break even?

Graph the function. - $y=\sqrt{x-5}-1$ $Graph the function. - y=\sqrt{x-5}-1$

Choose the value which could represent the slope of the line. Assume that the scale on the x -axis is the same as the scale on the y-axis. -

Use the graph to determine the equation of the circle in center-radius form. -

Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -

Graph the function. - $g ( x ) = \frac { 1 } { 3 } | x - 3 | - 6$ $Graph the function. - g ( x ) = \frac { 1 } { 3 } | x - 3 | - 6$

Write an equation for the line described. Write the equation in the form specified. -parallel to $\mathrm { y } = 7$ , through $( 2,9 )$

Decide whether the relation defines a function. - $4 x - 10 y > - 10$

Find the slope and the y-intercept of the line. - $y - \frac { 5 } { 2 } x + 3 = 0$

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

Determine the intervals of the domain over which the function is continuous. - P(−2,−4)P ( - 2 , - 4 )P(−2,−4)

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

Solve the problem. -A furniture store buys 40 footstools from a distributor at a cost of $190 each plus an overhead charge of $20 per order. The retail markup is 25% on the total price paid. Find the profit on the sale Of one footstool.

Find the slope and the y-intercept of the line. - −4y=3x- 4 y = 3 x−4y=3x

Match the description with the correct symbolic expression. -a function that is not linear

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - x2+y2−6x−4y−12=0x ^ { 2 } + y ^ { 2 } - 6 x - 4 y - 12 = 0x2+y2−6x−4y−12=0

Determine if the function is even, odd, or neither. - f(x)=x4−2x2+5f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 5f(x)=x4−2x2+5

Give the domain and range of the relation. -

Provide an appropriate response. -If a vertical line is drawn through the point (1,8)( 1,8 )(1,8) , where will it intersect the xxx -axis?

Graph the function. - f(x)=2(−x)3f(x)=2(-x)^{3}f(x)=2(−x)3

Solve the problem. -A lumber yard has fixed costs of $4391.40 per day and variable costs of $0.59 per board-foot produced. Lumber sells for $1.89 per board-foot. How many board-feet must be produced and Sold daily to break even?

Graph the function. - y=x−5−1y=\sqrt{x-5}-1y=x−5​−1

Choose the value which could represent the slope of the line. Assume that the scale on the x -axis is the same as the scale on the y-axis. -

Use the graph to determine the equation of the circle in center-radius form. -

Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -

Graph the function. - g(x)=13∣x−3∣−6g ( x ) = \frac { 1 } { 3 } | x - 3 | - 6g(x)=31​∣x−3∣−6

Write an equation for the line described. Write the equation in the form specified. -parallel to y=7\mathrm { y } = 7y=7 , through (2,9)( 2,9 )(2,9)

Decide whether the relation defines a function. - 4x−10y>−104 x - 10 y > - 104x−10y>−10

Find the slope and the y-intercept of the line. - y−52x+3=0y - \frac { 5 } { 2 } x + 3 = 0y−25​x+3=0

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

Determine the intervals of the domain over which the function is continuous. - $P ( - 2 , - 4 )$

Find the slope and the y-intercept of the line. - $- 4 y = 3 x$

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - $x ^ { 2 } + y ^ { 2 } - 6 x - 4 y - 12 = 0$

Determine if the function is even, odd, or neither. - $f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 5$

Provide an appropriate response. -If a vertical line is drawn through the point $( 1,8 )$ , where will it intersect the $x$ -axis?

Graph the function. - $f(x)=2(-x)^{3}$ $Graph the function. - f(x)=2(-x)^{3}$

Graph the function. - $y=\sqrt{x-5}-1$ $Graph the function. - y=\sqrt{x-5}-1$

Graph the function. - $g ( x ) = \frac { 1 } { 3 } | x - 3 | - 6$ $Graph the function. - g ( x ) = \frac { 1 } { 3 } | x - 3 | - 6$

Write an equation for the line described. Write the equation in the form specified. -parallel to $\mathrm { y } = 7$ , through $( 2,9 )$

Decide whether the relation defines a function. - $4 x - 10 y > - 10$

Find the slope and the y-intercept of the line. - $y - \frac { 5 } { 2 } x + 3 = 0$