Question 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.
-

Accepted Answer

A)  undefined 
B)  2 
C)  0 
D)  -2 
A)  undefined 
B)  2 
C)  0 
D)  -2

Question 2

Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$
-$$f ( x ) = - ( x + 7 ) ^ { 2 }$$

Accepted Answer

A)  a translation 7 units up and a reflection across the $x$-axis 
B)  a translation 7 units to the left and a reflection across the $x$-axis 
C)  a translation 7 units to the right and a reflection across the $x$-axis 
D)  a translation 7 units to the right and a reflection across the $y$-axis 
A)  a translation 7 units up and a reflection across the $x$-axis 
B)  a translation 7 units to the left and a reflection across the $x$-axis 
C)  a translation 7 units to the right and a reflection across the $x$-axis 
D)  a translation 7 units to the right and a reflection across the $y$-axis

Question 3

A new chocolate company is estimating how many candy bars per week college students will consume of their line of
products. The graph shows the probable number of candy bars students (age 18-22) will consume from year 0 to year 10.
B(x) gives the number of candy bars for boys, G(x) gives the number of candy bars for girls, and T(x) gives the total
-The volume of water added to a circular drum of radius $r$ is given by $V _ { W } = 30 t$, where $V _ { W }$ is volume in cu $\mathrm { ft }$ and $\mathrm { t }$ is time in sec. Find the depth of water in a drum of radius $5 \mathrm { ft }$ after adding water for $17 \mathrm { sec }$. (Round result to one decimal place.)

Accepted Answer

A)  $13.0 \mathrm { ft }$ 
B)  $20.4 \mathrm { ft }$ 
C)  $2.5 \mathrm { ft }$ 
D)  $6.5 \mathrm { ft }$ 
A)  $13.0 \mathrm { ft }$ 
B)  $20.4 \mathrm { ft }$ 
C)  $2.5 \mathrm { ft }$ 
D)  $6.5 \mathrm { ft }$

Question 4

Graph the function.
-$$g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6$$

Accepted Answer

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

Question 5

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint (7, 13), endpoint (10, 9)

Accepted Answer

A)  (18, 3) 
B)  (16, 1) 
C)  (4, 5) 
D)  (4, 17) 
A)  (18, 3) 
B)  (16, 1) 
C)  (4, 5) 
D)  (4, 17)

Question 6

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such.
-$h(x)=-4 x$

Accepted Answer

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

Question 7

Find the requested function value.
-Find $( f \circ g ) ( - 9 )$ when $f ( x ) = 9 x - 2$ and $g ( x ) = - 4 x ^ { 2 } + 6 x + 7$

Accepted Answer

A)  $- 3341$ 
B)  $- 101$ 
C)  $- 28,047$ 
D)  $- 159$ 
A)  $- 3341$ 
B)  $- 101$ 
C)  $- 28,047$ 
D)  $- 159$

Question 8

Graph the equation by plotting points.
-$y=x^{3}+5$

Accepted Answer

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

Question 9

Graph the function.
-A video rental company charges $\$ 5$ per day for renting a video tape, and then $\$ 4$ per day after the first. Use the greatest integer function and write an expression for renting a video tape for $\mathrm { x }$ days.

Accepted Answer

A)  $y + 5 = 4 [ x ]$ 
B)  $y = 4 x + 5$ 
C)  $y = 4 \llbracket x - 1 ] + 5$ 
D)  $y = \llbracket 4 x + 5 \rrbracket$ 
A)  $y + 5 = 4 [ x ]$ 
B)  $y = 4 x + 5$ 
C)  $y = 4 \llbracket x - 1 ] + 5$ 
D)  $y = \llbracket 4 x + 5 \rrbracket$

Question 10

Determine whether the three points are the vertices of a right triangle.
-(-6, -6), (0, -4), (6, -11)

Accepted Answer

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

Question 11

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.
-$$y = - 6 x ^ { 3 } + 2 x$$

Accepted Answer

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

Question 12

Graph the point symmetric to the given point.
-$$\text { Plot the point } ( - 8,0 ) \text {, then plot the point that is symmetric to } ( - 8,0 ) \text { with respect to the } x \text {-axis. }$$

Accepted Answer

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

Question 13

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$$x + 3 y = 6 ; ( 0 , \quad ) , ( , 0 ) , ( 1 , \quad ) , ( , 1 )$$

Accepted Answer

A)

B) 
  
C) 
  
D) 
  
A)

B) 
  
C) 
  
D)

Question 14

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$$y + x = 4 ; ( 1 , \quad ) , ( 4 , \quad ) , ( 3 , \quad )$$

Accepted Answer

A)

B) 
  
C)

D) 
  
A)

B) 
  
C)

D)

Question 15

Write all linear equations in slope-intercept form.
-In a lab experiment 8 grams of acid were produced in 30 minutes and 18 grams in 34 minutes. Find a linear equation that models the number of grams produced in x minutes.

Accepted Answer

A)  $y = x + 22$ 
B)  $y = \frac { 5 } { 2 } x + 67$ 
C)  $y = \frac { 2 } { 5 } x - \frac { 1 } { 67 }$ 
D)  $y = \frac { 5 } { 2 } x - 67$ 
A)  $y = x + 22$ 
B)  $y = \frac { 5 } { 2 } x + 67$ 
C)  $y = \frac { 2 } { 5 } x - \frac { 1 } { 67 }$ 
D)  $y = \frac { 5 } { 2 } x - 67$

Question 16

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown.
Use a graphing calculator to solve the linear equation.
-$- 9 x + 2 + 7 x = - 2 x + 7$

Accepted Answer

A)  $\{ 5 \}$ 
B)  all real numbers 
C)  $\varnothing$ 
D)  $\{ - 2 \}$ 
A)  $\{ 5 \}$ 
B)  all real numbers 
C)  $\varnothing$ 
D)  $\{ - 2 \}$

Question 17

A new chocolate company is estimating how many candy bars per week college students will consume of their line of
products. The graph shows the probable number of candy bars students (age 18-22) will consume from year 0 to year 10.
B(x) gives the number of candy bars for boys, G(x) gives the number of candy bars for girls, and T(x) gives the total
-Use the slopes of the line segments to decide in which period (0-5 or 5-10) the number of candy bars per week increased more rapidly.

Accepted Answer

A)  The number of candy bars increased at the same rate in both periods 
B)  5-10 
C)  0-5 
A)  The number of candy bars increased at the same rate in both periods 
B)  5-10 
C)  0-5

Question 18

The figure below shows the graph of a function y = f(x). Use this graph to
-$$\text { Sketch the graph of } y = f ( x - 3 ) \text {. }$$

Accepted Answer

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

Question 19

Write an equation for the line described. Write the equation in the form specified.
-perpendicular to $- 8 x + 7 y = 8$, through $( - 8,8 )$; slope-intercept form

Accepted Answer

A)  $y = - \frac { 8 } { 7 } x - \frac { 8 } { 7 }$ 
B)  $y = \frac { 7 } { 8 } x + 1$ 
C)  $y = - \frac { 8 } { 7 } x - \frac { 8 } { 7 }$. 
D)  $y = - \frac { 7 } { 8 } x + 1$ 
A)  $y = - \frac { 8 } { 7 } x - \frac { 8 } { 7 }$ 
B)  $y = \frac { 7 } { 8 } x + 1$ 
C)  $y = - \frac { 8 } { 7 } x - \frac { 8 } { 7 }$. 
D)  $y = - \frac { 7 } { 8 } x + 1$

Question 20

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

Accepted Answer

A)  It is the graph of $f ( x ) = | x |$ stretched vertically by a factor of 5 and translated 3 units down. The equation is $y = \frac { 1 } { 5 } | x | + 3$ 
B)  It is the graph of $\mathrm { f } ( \mathrm { x } ) = | \mathrm { x } |$ shrunken vertically by a factor of 5 and translated 3 units down. The equation is $y = 5 | x | + 3$ 
C)  It is the graph of $\mathrm { f } ( \mathrm { x } ) = | \mathrm { x } |$ shrunken vertically by a factor of 5 and translated 3 units down. The equation is $y = \frac { 1 } { 5 } | x | - 3$ 
D)  It is the graph of $f ( x ) = | x |$ stretched vertically by a factor of 5 and translated 3 units down. The equation is $y = 5 | x | - 3$ 
A)  It is the graph of $f ( x ) = | x |$ stretched vertically by a factor of 5 and translated 3 units down. The equation is $y = \frac { 1 } { 5 } | x | + 3$ 
B)  It is the graph of $\mathrm { f } ( \mathrm { x } ) = | \mathrm { x } |$ shrunken vertically by a factor of 5 and translated 3 units down. The equation is $y = 5 | x | + 3$ 
C)  It is the graph of $\mathrm { f } ( \mathrm { x } ) = | \mathrm { x } |$ shrunken vertically by a factor of 5 and translated 3 units down. The equation is $y = \frac { 1 } { 5 } | x | - 3$ 
D)  It is the graph of $f ( x ) = | x |$ stretched vertically by a factor of 5 and translated 3 units down. The equation is $y = 5 | x | - 3$

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. -

Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$ - $f ( x ) = - ( x + 7 ) ^ { 2 }$

Graph the function. - $g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6$ $Graph the function. - g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6$

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (7, 13), endpoint (10, 9)

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $h(x)=-4 x$

Find the requested function value. -Find $( f \circ g ) ( - 9 )$ when $f ( x ) = 9 x - 2$ and $g ( x ) = - 4 x ^ { 2 } + 6 x + 7$

Graph the equation by plotting points. - $y=x^{3}+5$ $Graph the equation by plotting points. - y=x^{3}+5$

Graph the function. -A video rental company charges $\$ 5$ per day for renting a video tape, and then $\$ 4$ per day after the first. Use the greatest integer function and write an expression for renting a video tape for $\mathrm { x }$ days.

Determine whether the three points are the vertices of a right triangle. -(-6, -6), (0, -4), (6, -11)

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. - $y = - 6 x ^ { 3 } + 2 x$

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y + x = 4 ; ( 1 , \quad ) , ( 4 , \quad ) , ( 3 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y + x = 4 ; ( 1 , \quad ) , ( 4 , \quad ) , ( 3 , \quad )$

Write all linear equations in slope-intercept form. -In a lab experiment 8 grams of acid were produced in 30 minutes and 18 grams in 34 minutes. Find a linear equation that models the number of grams produced in x minutes.

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - $- 9 x + 2 + 7 x = - 2 x + 7$

The figure below shows the graph of a function y = f(x). Use this graph to - $\text { Sketch the graph of } y = f ( x - 3 ) \text {. }$ $The figure below shows the graph of a function y = f(x). Use this graph to - \text { Sketch the graph of } y = f ( x - 3 ) \text {. }$

Write an equation for the line described. Write the equation in the form specified. -perpendicular to $- 8 x + 7 y = 8$ , through $( - 8,8 )$ ; slope-intercept form

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

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

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. -

Describe how the graph of the equation relates to the graph of y y=x2y = x ^ { 2 }y=x2 - f(x)=−(x+7)2f ( x ) = - ( x + 7 ) ^ { 2 }f(x)=−(x+7)2

Graph the function. - g(x)=14∣x−5∣−6g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6g(x)=41​∣x−5∣−6

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (7, 13), endpoint (10, 9)

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - h(x)=−4xh(x)=-4 xh(x)=−4x

Find the requested function value. -Find (f∘g)(−9)( f \circ g ) ( - 9 )(f∘g)(−9) when f(x)=9x−2f ( x ) = 9 x - 2f(x)=9x−2 and g(x)=−4x2+6x+7g ( x ) = - 4 x ^ { 2 } + 6 x + 7g(x)=−4x2+6x+7

Graph the equation by plotting points. - y=x3+5y=x^{3}+5y=x3+5

Graph the function. -A video rental company charges $5\$ 5$5 per day for renting a video tape, and then $4\$ 4$4 per day after the first. Use the greatest integer function and write an expression for renting a video tape for x\mathrm { x }x days.

Determine whether the three points are the vertices of a right triangle. -(-6, -6), (0, -4), (6, -11)

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. - y=−6x3+2xy = - 6 x ^ { 3 } + 2 xy=−6x3+2x

Graph the equation by determining the missing values needed to plot the ordered pairs. - x+3y=6;(0,),(,0),(1,),(,1)x + 3 y = 6 ; ( 0 , \quad ) , ( , 0 ) , ( 1 , \quad ) , ( , 1 )x+3y=6;(0,),(,0),(1,),(,1)

Graph the equation by determining the missing values needed to plot the ordered pairs. - y+x=4;(1,),(4,),(3,)y + x = 4 ; ( 1 , \quad ) , ( 4 , \quad ) , ( 3 , \quad )y+x=4;(1,),(4,),(3,)

Write all linear equations in slope-intercept form. -In a lab experiment 8 grams of acid were produced in 30 minutes and 18 grams in 34 minutes. Find a linear equation that models the number of grams produced in x minutes.

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - −9x+2+7x=−2x+7- 9 x + 2 + 7 x = - 2 x + 7−9x+2+7x=−2x+7

The figure below shows the graph of a function y = f(x). Use this graph to - Sketch the graph of y=f(x−3). \text { Sketch the graph of } y = f ( x - 3 ) \text {. } Sketch the graph of y=f(x−3).

Write an equation for the line described. Write the equation in the form specified. -perpendicular to −8x+7y=8- 8 x + 7 y = 8−8x+7y=8 , through (−8,8)( - 8,8 )(−8,8) ; slope-intercept form

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

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

Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$ - $f ( x ) = - ( x + 7 ) ^ { 2 }$

Graph the function. - $g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6$ $Graph the function. - g ( x ) = \frac { 1 } { 4 } | x - 5 | - 6$

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $h(x)=-4 x$

Find the requested function value. -Find $( f \circ g ) ( - 9 )$ when $f ( x ) = 9 x - 2$ and $g ( x ) = - 4 x ^ { 2 } + 6 x + 7$

Graph the equation by plotting points. - $y=x^{3}+5$ $Graph the equation by plotting points. - y=x^{3}+5$

Graph the function. -A video rental company charges $\$ 5$ per day for renting a video tape, and then $\$ 4$ per day after the first. Use the greatest integer function and write an expression for renting a video tape for $\mathrm { x }$ days.

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. - $y = - 6 x ^ { 3 } + 2 x$

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y + x = 4 ; ( 1 , \quad ) , ( 4 , \quad ) , ( 3 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y + x = 4 ; ( 1 , \quad ) , ( 4 , \quad ) , ( 3 , \quad )$

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - $- 9 x + 2 + 7 x = - 2 x + 7$

The figure below shows the graph of a function y = f(x). Use this graph to - $\text { Sketch the graph of } y = f ( x - 3 ) \text {. }$ $The figure below shows the graph of a function y = f(x). Use this graph to - \text { Sketch the graph of } y = f ( x - 3 ) \text {. }$

Write an equation for the line described. Write the equation in the form specified. -perpendicular to $- 8 x + 7 y = 8$ , through $( - 8,8 )$ ; slope-intercept form