Question 1

Write an equation for the line described. Write the equation in the form specified.
-parallel to $y + 8 x = 4$, through $( 4,5 )$; slope-intercept form

Accepted Answer

A)  $y = - \frac { 1 } { 8 } x - \frac { 37 } { 8 }$ 
B)  $y = - 8 x + 37$ 
C)  $y = 8 x - 37$ 
D)  $y = - 8 x - 37$ 
A)  $y = - \frac { 1 } { 8 } x - \frac { 37 } { 8 }$ 
B)  $y = - 8 x + 37$ 
C)  $y = 8 x - 37$ 
D)  $y = - 8 x - 37$

Question 2

The graph of y = f(x) is given. Use the graph to find the function value.
-Find f(3).

Accepted Answer

A)  $- 7$ 
B)  5 
C)  7 
D)  1 
A)  $- 7$ 
B)  5 
C)  7 
D)  1

Question 3

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint $\left( \frac { p + a } { 2 } , \frac { q - w } { 2 } \right)$, endpoint $( p , q )$

Accepted Answer

A)  $( a , - w )$ 
B)  $\left( \frac { 3 p + a } { 4 } , \frac { 3 q - w } { 4 } \right)$ 
C)  $( a , w )$ 
D)  $\left( \frac { a } { 2 } , - \frac { w } { 2 } \right)$ 
A)  $( a , - w )$ 
B)  $\left( \frac { 3 p + a } { 4 } , \frac { 3 q - w } { 4 } \right)$ 
C)  $( a , w )$ 
D)  $\left( \frac { a } { 2 } , - \frac { w } { 2 } \right)$

Question 4

Match the equation with the correct graph.
-$$y = \frac { 1 } { 5 } x - 2$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
 
 1 
A) 
  
B) 
  
C) 
  
D) 
 
 1

Question 5

Find the center-radius form of the circle described or graphed.
-

Accepted Answer

A)  $( x + 5 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 4$ 
B)  $( x - 5 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 2$ 
C)  $( x - 5 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 4$ 
D)  $( x + 5 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 2$ 
A)  $( x + 5 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 4$ 
B)  $( x - 5 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 2$ 
C)  $( x - 5 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 4$ 
D)  $( x + 5 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 2$

Question 6

Determine if the function is even, odd, or neither.
-$f ( x ) = - 3 x ^ { 4 } - 8 x + 8$

Accepted Answer

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

Question 7

Graph the equation by plotting points.
-$y=|-4-x|$

Accepted Answer

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

Question 8

Find the center-radius form of the equation of the circle.
-center (10, 0), radius 3

Accepted Answer

A)  $( x + 10 ) ^ { 2 } + y ^ { 2 } = 9$ 
B)  $( x - 10 ) ^ { 2 } + y ^ { 2 } = 9$ 
C)  $x ^ { 2 } + ( y + 10 ) ^ { 2 } = 3$ 
D)  $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 3$ 
A)  $( x + 10 ) ^ { 2 } + y ^ { 2 } = 9$ 
B)  $( x - 10 ) ^ { 2 } + y ^ { 2 } = 9$ 
C)  $x ^ { 2 } + ( y + 10 ) ^ { 2 } = 3$ 
D)  $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 3$

Question 9

Use the graphs to find the value of $( \mathrm { f } - \mathrm { g } ) ( - 1 )$.

Accepted Answer

A)  1 
B)  0 
C)  3 
D)  $- 1$ 
A)  1 
B)  0 
C)  3 
D)  $- 1$

Question 10

Find the slope and the y-intercept of the line.
-- $$- 5 y = 2 x$$

Accepted Answer

A)  slope: $0 ; y$-intercept: $\left( 0 , - \frac { 5 } { 2 } \right)$ 
B)  slope: $0 ; y$-intercept: $\left( 0 , - \frac { 2 } { 5 } \right)$ 
C)  slope: $- \frac { 2 } { 5 } ; y$-intercept: $( 0,0 )$ 
D)  slope: $- \frac { 5 } { 2 } ; y$-intercept: $( 0,0 )$ 
A)  slope: $0 ; y$-intercept: $\left( 0 , - \frac { 5 } { 2 } \right)$ 
B)  slope: $0 ; y$-intercept: $\left( 0 , - \frac { 2 } { 5 } \right)$ 
C)  slope: $- \frac { 2 } { 5 } ; y$-intercept: $( 0,0 )$ 
D)  slope: $- \frac { 5 } { 2 } ; y$-intercept: $( 0,0 )$

Question 11

Give a rule for the piecewise-defined function. Then give the domain and range.
-

Accepted Answer

A)  $f ( x ) = \left\{ \begin{array} { l l } 3 x & \text { if } x \leq 0 \ - 3 x & \text { if } x > 0 \end{array} ; \right.$ Domain: $\{ - 3,3 \}$, Range: $( x , \infty )$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } 3 & \text { if } x  0 \end{array} \right.$; Domain: $\{ - 3,3 \}$, Range: $( \infty , \infty )$ 
D)  $f ( x ) = \left\{ \begin{array} { l l } 3 & \text { if } x \leq 0 \ - 3 & \text { if } x > 0 \end{array} \right.$; Domain: $( * , \infty )$, Range: $\{ - 3,3 \}$ 
A)  $f ( x ) = \left\{ \begin{array} { l l } 3 x & \text { if } x \leq 0 \ - 3 x & \text { if } x > 0 \end{array} ; \right.$ Domain: $\{ - 3,3 \}$, Range: $( x , \infty )$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } 3 & \text { if } x  0 \end{array} \right.$; Domain: $\{ - 3,3 \}$, Range: $( \infty , \infty )$ 
D)  $f ( x ) = \left\{ \begin{array} { l l } 3 & \text { if } x \leq 0 \ - 3 & \text { if } x > 0 \end{array} \right.$; Domain: $( * , \infty )$, Range: $\{ - 3,3 \}$

Question 12

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$
-$$h ( x ) = \frac { 1 } { \sqrt { 2 x + 4 } }$$

Accepted Answer

A)  $f ( x ) = \frac { 1 } { \sqrt { x } } , g ( x ) = 2 x + 4$ 
B)  $f ( x ) = \sqrt { 2 x + 4 } , g ( x ) = 1$ 
C)  $f ( x ) = \frac { 1 } { x } , g ( x ) = 2 x + 4$ 
D)  $f ( x ) = 1 , g ( x ) = \sqrt { 2 + 4 }$ 
A)  $f ( x ) = \frac { 1 } { \sqrt { x } } , g ( x ) = 2 x + 4$ 
B)  $f ( x ) = \sqrt { 2 x + 4 } , g ( x ) = 1$ 
C)  $f ( x ) = \frac { 1 } { x } , g ( x ) = 2 x + 4$ 
D)  $f ( x ) = 1 , g ( x ) = \sqrt { 2 + 4 }$

Question 13

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint $( - 1 , - 1 )$, endpoint $( 3,1 )$

Accepted Answer

A)  $( 11,5 )$ 
B)  $( - 5,3 )$ 
C)  $( - 5 , - 3 )$ 
D)  $( - 1 , - 7 )$ 
A)  $( 11,5 )$ 
B)  $( - 5,3 )$ 
C)  $( - 5 , - 3 )$ 
D)  $( - 1 , - 7 )$

Question 14

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
number for both groups. Use the graph to answer the question.  
-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)  0-5 
B)  $5 - 10$ 
C)  The number of candy bars increased at the same rate in both periods 
A)  0-5 
B)  $5 - 10$ 
C)  The number of candy bars increased at the same rate in both periods

Question 15

Graph the circle.
-$x^{2}+(y-5)^{2}=9$

Accepted Answer

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

Question 16

Graph the point symmetric to the given point.
-Plot the point (4, 1), then plot the point that is symmetric to (4, 1) with respect to the origin.

Accepted Answer

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

Question 17

Find the specified domain.
-Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = 9 x - 5$ and $g ( x ) = \frac { 2 } { x - 11 }$

Accepted Answer

A)  $\left( \infty , \frac { 5 } { 9 } \right) \cup \left( \frac { 5 } { 9 } , 11 \right) \cup ( 11 , \infty )$ 
B)  $( - \infty , - 11 ) \cup ( - 11 , \infty )$ 
C)  $( - \infty , 11 ) \cup ( 11 , \infty )$ 
D)  $( - \infty , \infty )$ 
A)  $\left( \infty , \frac { 5 } { 9 } \right) \cup \left( \frac { 5 } { 9 } , 11 \right) \cup ( 11 , \infty )$ 
B)  $( - \infty , - 11 ) \cup ( - 11 , \infty )$ 
C)  $( - \infty , 11 ) \cup ( 11 , \infty )$ 
D)  $( - \infty , \infty )$

Question 18

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

Accepted Answer

A)  It is the graph of $f ( x ) = | x |$ translated 6 units to the left, stretched vertically by a factor of 2 and translated 4 units down. The equation is $y = 2 | x + 6 | - 4$ 
B)  It is the graph of $f ( x ) = | x |$ translated 6 units to the left, shrunken vertically by a factor of $\frac { 1 } { 2 }$ and translated 4 units down. The equation is $y = \frac { 1 } { 2 } | x + 6 | - 4$ 
C)  It is the graph of $f ( x ) = | x |$ translated 6 units to the left, shrunken vertically by a factor of $\frac { 1 } { 2 }$ and translated 4 units down. The equation is $y = \frac { 1 } { 2 } | x - 6 | - 4$ 
D)  It is the graph of $f ( x ) = | x |$ translated 6 units to the left, stretched vertically by a factor of 2 and translated 4 units down. The equation is $y = 2 | x - 6 | + 4$ 
A)  It is the graph of $f ( x ) = | x |$ translated 6 units to the left, stretched vertically by a factor of 2 and translated 4 units down. The equation is $y = 2 | x + 6 | - 4$ 
B)  It is the graph of $f ( x ) = | x |$ translated 6 units to the left, shrunken vertically by a factor of $\frac { 1 } { 2 }$ and translated 4 units down. The equation is $y = \frac { 1 } { 2 } | x + 6 | - 4$ 
C)  It is the graph of $f ( x ) = | x |$ translated 6 units to the left, shrunken vertically by a factor of $\frac { 1 } { 2 }$ and translated 4 units down. The equation is $y = \frac { 1 } { 2 } | x - 6 | - 4$ 
D)  It is the graph of $f ( x ) = | x |$ translated 6 units to the left, stretched vertically by a factor of 2 and translated 4 units down. The equation is $y = 2 | x - 6 | + 4$

Question 19

Give the domain and range of the relation.
-$$y = 9 x ^ { 4 }$$

Accepted Answer

A)  domain: $( - \infty , \infty )$; range: $( \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $[ 0 , \infty )$ 
C)  domain: $[ 0 , \infty )$; range: $[ - 9 , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $[ 9 , \infty )$ 
A)  domain: $( - \infty , \infty )$; range: $( \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $[ 0 , \infty )$ 
C)  domain: $[ 0 , \infty )$; range: $[ - 9 , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $[ 9 , \infty )$

Question 20

Graph the point symmetric to the given point.
-Plot the point (5, 0), then plot the point that is symmetric to (5, 0) with respect to the origin.

Accepted Answer

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

Write an equation for the line described. Write the equation in the form specified. -parallel to $y + 8 x = 4$ , through $( 4,5 )$ ; slope-intercept form

The graph of y = f(x) is given. Use the graph to find the function value. -Find f(3).

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint $\left( \frac { p + a } { 2 } , \frac { q - w } { 2 } \right)$ , endpoint $( p , q )$

Match the equation with the correct graph. - $y = \frac { 1 } { 5 } x - 2$

Find the center-radius form of the circle described or graphed. -

Determine if the function is even, odd, or neither. - $f ( x ) = - 3 x ^ { 4 } - 8 x + 8$

Graph the equation by plotting points. - $y=|-4-x|$

Find the center-radius form of the equation of the circle. -center (10, 0), radius 3

Use the graphs to find the value of $( \mathrm { f } - \mathrm { g } ) ( - 1 )$ . $Use the graphs to find the value of ( \mathrm { f } - \mathrm { g } ) ( - 1 ) .$

Find the slope and the y-intercept of the line. -- $- 5 y = 2 x$

Give a rule for the piecewise-defined function. Then give the domain and range. -

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = \frac { 1 } { \sqrt { 2 x + 4 } }$

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint $( - 1 , - 1 )$ , endpoint $( 3,1 )$

Graph the circle. - $x^{2}+(y-5)^{2}=9$ $Graph the circle. - x^{2}+(y-5)^{2}=9$

Graph the point symmetric to the given point. -Plot the point (4, 1), then plot the point that is symmetric to (4, 1) with respect to the origin.

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = 9 x - 5$ and $g ( x ) = \frac { 2 } { x - 11 }$

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

Give the domain and range of the relation. - $y = 9 x ^ { 4 }$

Graph the point symmetric to the given point. -Plot the point (5, 0), then plot the point that is symmetric to (5, 0) with respect to the origin.

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

Write an equation for the line described. Write the equation in the form specified. -parallel to y+8x=4y + 8 x = 4y+8x=4 , through (4,5)( 4,5 )(4,5) ; slope-intercept form

The graph of y = f(x) is given. Use the graph to find the function value. -Find f(3).

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (p+a2,q−w2)\left( \frac { p + a } { 2 } , \frac { q - w } { 2 } \right)(2p+a​,2q−w​) , endpoint (p,q)( p , q )(p,q)

Match the equation with the correct graph. - y=15x−2y = \frac { 1 } { 5 } x - 2y=51​x−2

Find the center-radius form of the circle described or graphed. -

Determine if the function is even, odd, or neither. - f(x)=−3x4−8x+8f ( x ) = - 3 x ^ { 4 } - 8 x + 8f(x)=−3x4−8x+8

Graph the equation by plotting points. - y=∣−4−x∣y=|-4-x|y=∣−4−x∣

Find the center-radius form of the equation of the circle. -center (10, 0), radius 3

Use the graphs to find the value of (f−g)(−1)( \mathrm { f } - \mathrm { g } ) ( - 1 )(f−g)(−1) .

Find the slope and the y-intercept of the line. -- −5y=2x- 5 y = 2 x−5y=2x

Give a rule for the piecewise-defined function. Then give the domain and range. -

Consider the function h as defined. Find functions f and g so tha (f∘g)(x)=h(x)( f \circ g ) ( x ) = h ( x )(f∘g)(x)=h(x) - h(x)=12x+4h ( x ) = \frac { 1 } { \sqrt { 2 x + 4 } }h(x)=2x+4​1​

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (−1,−1)( - 1 , - 1 )(−1,−1) , endpoint (3,1)( 3,1 )(3,1)

Graph the circle. - x2+(y−5)2=9x^{2}+(y-5)^{2}=9x2+(y−5)2=9

Graph the point symmetric to the given point. -Plot the point (4, 1), then plot the point that is symmetric to (4, 1) with respect to the origin.

Find the specified domain. -Find the domain of (fg)(x)\left( \frac { f } { g } \right) ( x )(gf​)(x) when f(x)=9x−5f ( x ) = 9 x - 5f(x)=9x−5 and g(x)=2x−11g ( x ) = \frac { 2 } { x - 11 }g(x)=x−112​

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

Give the domain and range of the relation. - y=9x4y = 9 x ^ { 4 }y=9x4

Graph the point symmetric to the given point. -Plot the point (5, 0), then plot the point that is symmetric to (5, 0) with respect to the origin.

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

Write an equation for the line described. Write the equation in the form specified. -parallel to $y + 8 x = 4$ , through $( 4,5 )$ ; slope-intercept form

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint $\left( \frac { p + a } { 2 } , \frac { q - w } { 2 } \right)$ , endpoint $( p , q )$

Match the equation with the correct graph. - $y = \frac { 1 } { 5 } x - 2$

Determine if the function is even, odd, or neither. - $f ( x ) = - 3 x ^ { 4 } - 8 x + 8$

Graph the equation by plotting points. - $y=|-4-x|$

Use the graphs to find the value of $( \mathrm { f } - \mathrm { g } ) ( - 1 )$ . $Use the graphs to find the value of ( \mathrm { f } - \mathrm { g } ) ( - 1 ) .$

Find the slope and the y-intercept of the line. -- $- 5 y = 2 x$

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = \frac { 1 } { \sqrt { 2 x + 4 } }$

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint $( - 1 , - 1 )$ , endpoint $( 3,1 )$

Graph the circle. - $x^{2}+(y-5)^{2}=9$ $Graph the circle. - x^{2}+(y-5)^{2}=9$

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = 9 x - 5$ and $g ( x ) = \frac { 2 } { x - 11 }$

Give the domain and range of the relation. - $y = 9 x ^ { 4 }$