Question 1

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.  
-At what times was the temperature higher than 77°F? 197)

Accepted Answer

A)  from 12 p.m. until 3 p.m. 
B)  from 11 a.m. until 3 p.m. 
C)  from 12 p.m. until 1 p.m. 
D)  after 12 p.m. 
A)  from 12 p.m. until 3 p.m. 
B)  from 11 a.m. until 3 p.m. 
C)  from 12 p.m. until 1 p.m. 
D)  after 12 p.m.

Question 2

Find the center-radius form of the circle described or graphed.
-Find all points $( x , y )$ with $x = y$ that are 5 units from $( 9,2 )$.

Accepted Answer

A)  $( 5,5 )$ and $( - 6 , - 6 )$ 
B)  $( 5,5 )$ and $( 6,6 )$ 
C)  $( - 5 , - 5 )$ and $( - 6 , - 6 )$ 
D)  $( - 5 , - 5 )$ and $( 6,6 )$ 
A)  $( 5,5 )$ and $( - 6 , - 6 )$ 
B)  $( 5,5 )$ and $( 6,6 )$ 
C)  $( - 5 , - 5 )$ and $( - 6 , - 6 )$ 
D)  $( - 5 , - 5 )$ and $( 6,6 )$

Question 3

Decide whether the relation defines a function.
-$$\begin{array} { c | c } 
\text { Year } & \text { Number } \
\hline 1995 & 37 \
1996 & 74 \
1997 & 149 \
1998 & 121 \
1999 & 261
\end{array}$$

Accepted Answer

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

Question 4

Graph the function.
-$f(x)=|x|-3$

Accepted Answer

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

Question 5

Find the center-radius form of the equation of the circle.
-center $( - \sqrt { 3 } , - 4 )$, radius $\sqrt { 3 }$

Accepted Answer

A)  $( x + \sqrt { 3 } ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 3$ 
B)  $( x - \sqrt { 3 } ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 9$ 
C)  $( x + \sqrt { 3 } ) ^ { 2 } + ( y + 4 ) ^ { 2 } = \sqrt { 3 }$ 
D)  $( x - \sqrt { 3 } ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 3$ 
A)  $( x + \sqrt { 3 } ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 3$ 
B)  $( x - \sqrt { 3 } ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 9$ 
C)  $( x + \sqrt { 3 } ) ^ { 2 } + ( y + 4 ) ^ { 2 } = \sqrt { 3 }$ 
D)  $( x - \sqrt { 3 } ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 3$

Question 6

Find the requested value.
-$f ( 8 )$ for $f ( x ) = \left\{ \begin{array} { l l } 4 x + 6 , & \text { if } x \leq 0 \ 2 - 7 x , & \text { if } 0 < x < 7 \ x , & \text { if } x \geq 7 \end{array} \right.$

Accepted Answer

A)  $- 54$ 
B)  38 
C)  8 
D)  7 
A)  $- 54$ 
B)  38 
C)  8 
D)  7

Question 7

Find the average rate of change illustrated in the graph.
-Regrind, Inc. regrinds used typewriter platens. The variable cost to regrind each platen is $\$ 1.90$. The total cost to regrind 100 platens is $\$ 300$. Find the linear cost function to regrind platens. If reground platens sell for $\$ 8.70$ each, how many must be reground and sold to break even?

Accepted Answer

A)  $C ( x ) = 1.90 x + 110 ; 11$ platens 
B)  $C ( x ) = 1.90 x + 110 ; 17$ platens 
C)  $C ( x ) = 1.90 x + 300 ; 29$ platens 
D)  $C ( x ) = 1.90 x + 300 ; 45$ platens 
A)  $C ( x ) = 1.90 x + 110 ; 11$ platens 
B)  $C ( x ) = 1.90 x + 110 ; 17$ platens 
C)  $C ( x ) = 1.90 x + 300 ; 29$ platens 
D)  $C ( x ) = 1.90 x + 300 ; 45$ platens

Question 8

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-The table lists how financial aid income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the financial aid cutoff for 1985.

$\begin{array}{c|c}
\text { Year } & \text { Income (in dollars) } \
\hline 1960 & 20,500 \
1970 & 26,000 \
1980 & 31,500 \
1990 & 37,000 \
2000 & 42,500
\end{array}$

Accepted Answer

A)  $\$ 20,500$ 
B)  $\$ 34,250$ 
C)  $\$ 17,750$ 
D)  $\$ 53,500$ 
A)  $\$ 20,500$ 
B)  $\$ 34,250$ 
C)  $\$ 17,750$ 
D)  $\$ 53,500$

Question 9

Describe the transformations and give the equation for the graph.
-Find $( f - g ) ( - 4 )$ when $f ( x ) = 3 x ^ { 2 } + 1$ and $g ( x ) = x + 5$

Accepted Answer

A)  58 
B)  $- 45$ 
C)  40 
D)  48 
A)  58 
B)  $- 45$ 
C)  40 
D)  48

Question 10

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant.
-

Accepted Answer

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

Question 11

Graph the function.
-Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let L(x) be the cost of mailing a letter weighing x ounces. $$\text { Graph } y = L ( x )$$
 
 128

Accepted Answer

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

Question 12

Determine if the function is even, odd, or neither.
-$f ( x ) = 5 x ^ { 5 } + 3 x ^ { 3 }$

Accepted Answer

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

Question 13

Match the description with the correct symbolic expression.
-a linear function whose graph has y-intercept -8

Accepted Answer

A)  $f ( x ) = - 7 x - 8$ 
B)  $x = - 8$ 
C)  $y = - 8 x + 11$ 
D)  $- 8 x + 13 y = 11$ 
A)  $f ( x ) = - 7 x - 8$ 
B)  $x = - 8$ 
C)  $y = - 8 x + 11$ 
D)  $- 8 x + 13 y = 11$

Question 14

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such.
-$$f ( x ) = 6 x + 3$$

Accepted Answer

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

Question 15

For the given functions f and g , find the indicated composition.
-$f(x)=-5 x+8, \quad g(x)=6 x+9$
$(f \circ g)(x)$

Accepted Answer

A)  $- 30 x - 39$ 
B)  $- 30 x + 53$ 
C)  $- 30 x + 57$ 
D)  $30 x + 57$ 
A)  $- 30 x - 39$ 
B)  $- 30 x + 53$ 
C)  $- 30 x + 57$ 
D)  $30 x + 57$

Question 16

Find the specified domain.
-Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = \frac { 5 } { x - 3 }$ and $g ( x ) = 7 - x$

Accepted Answer

A)  $( - \infty , 7 ) \cup ( 7 , \infty )$ 
B)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , - 7 ) \cup ( - 7 , - 3 ) \cup ( - 3 , \infty )$ 
D)  $( - \infty , 3 ) \cup ( 3,7 ) \cup ( 7 , \infty )$ 
A)  $( - \infty , 7 ) \cup ( 7 , \infty )$ 
B)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , - 7 ) \cup ( - 7 , - 3 ) \cup ( - 3 , \infty )$ 
D)  $( - \infty , 3 ) \cup ( 3,7 ) \cup ( 7 , \infty )$

Question 17

Determine the intervals of the domain over which the function is continuous.
-

Accepted Answer

A)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
B)  $[ - 2 , \infty )$ 
C)  $( - \infty , - 2 ) \cup ( - 2 , \infty )$ 
D)  $( - \infty , \infty )$ 
A)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
B)  $[ - 2 , \infty )$ 
C)  $( - \infty , - 2 ) \cup ( - 2 , \infty )$ 
D)  $( - \infty , \infty )$

Question 18

Find the center-radius form of the circle described or graphed.
-Find all values of $y$ such that the distance between $( 2 , y )$ and $( - 10,3 )$ is 13 .

Accepted Answer

A)  $- 8 , - 2$ 
B)  $- 8,2$ 
C)  $- 2,8$ 
D)  2,8 
A)  $- 8 , - 2$ 
B)  $- 8,2$ 
C)  $- 2,8$ 
D)  2,8

Question 19

Refer to the following graphs to determine an appropriate response.  
-Which one is the graph of $y = \sqrt { x }$ ? What is it's domain?

Accepted Answer

A)  graph B; $[ 0 , \infty )$ 
B)  graph C; $\{ - 2 , - 1,0,1,2 \}$ 
C)  graph $A ; ( - \infty , \infty )$ 
D)  graph D; $[ 0 , \infty )$ 
A)  graph B; $[ 0 , \infty )$ 
B)  graph C; $\{ - 2 , - 1,0,1,2 \}$ 
C)  graph $A ; ( - \infty , \infty )$ 
D)  graph D; $[ 0 , \infty )$

Question 20

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

Accepted Answer

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

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what times was the temperature higher than 77°F? 197)

Find the center-radius form of the circle described or graphed. -Find all points $( x , y )$ with $x = y$ that are 5 units from $( 9,2 )$ .

Decide whether the relation defines a function. - Year Number 1995 37 1996 74 1997 149 1998 121 1999 261

Graph the function. - $f(x)=|x|-3$

Find the center-radius form of the equation of the circle. -center $( - \sqrt { 3 } , - 4 )$ , radius $\sqrt { 3 }$

Find the requested value. - $f ( 8 )$ for $f ( x ) = \left\{ \begin{array} { l l } 4 x + 6 , & \text { if } x \leq 0 \\ 2 - 7 x , & \text { if } 0 < x < 7 \\ x , & \text { if } x \geq 7 \end{array} \right.$

Describe the transformations and give the equation for the graph. -Find $( f - g ) ( - 4 )$ when $f ( x ) = 3 x ^ { 2 } + 1$ and $g ( x ) = x + 5$

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

Determine if the function is even, odd, or neither. - $f ( x ) = 5 x ^ { 5 } + 3 x ^ { 3 }$

Match the description with the correct symbolic expression. -a linear function whose graph has y-intercept -8

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $f ( x ) = 6 x + 3$

For the given functions f and g , find the indicated composition. - $f(x)=-5 x+8, \quad g(x)=6 x+9$ $(f \circ g)(x)$

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = \frac { 5 } { x - 3 }$ and $g ( x ) = 7 - x$

Determine the intervals of the domain over which the function is continuous. -

Find the center-radius form of the circle described or graphed. -Find all values of $y$ such that the distance between $( 2 , y )$ and $( - 10,3 )$ is 13 .

Refer to the following graphs to determine an appropriate response. $Refer to the following graphs to determine an appropriate response. -Which one is the graph of y = \sqrt { x } ? What is it's domain?$ -Which one is the graph of $y = \sqrt { x }$ ? What is it's domain?

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

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

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what times was the temperature higher than 77°F? 197)

Find the center-radius form of the circle described or graphed. -Find all points (x,y)( x , y )(x,y) with x=yx = yx=y that are 5 units from (9,2)( 9,2 )(9,2) .

Decide whether the relation defines a function. - Year Number 1995 37 1996 74 1997 149 1998 121 1999 261

Graph the function. - f(x)=∣x∣−3f(x)=|x|-3f(x)=∣x∣−3

Find the center-radius form of the equation of the circle. -center (−3,−4)( - \sqrt { 3 } , - 4 )(−3​,−4) , radius 3\sqrt { 3 }3​

Describe the transformations and give the equation for the graph. -Find (f−g)(−4)( f - g ) ( - 4 )(f−g)(−4) when f(x)=3x2+1f ( x ) = 3 x ^ { 2 } + 1f(x)=3x2+1 and g(x)=x+5g ( x ) = x + 5g(x)=x+5

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

Graph the function. -Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let L(x) be the cost of mailing a letter weighing x ounces. Graph y=L(x)\text { Graph } y = L ( x ) Graph y=L(x) 128

Determine if the function is even, odd, or neither. - f(x)=5x5+3x3f ( x ) = 5 x ^ { 5 } + 3 x ^ { 3 }f(x)=5x5+3x3

Match the description with the correct symbolic expression. -a linear function whose graph has y-intercept -8

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - f(x)=6x+3f ( x ) = 6 x + 3f(x)=6x+3

For the given functions f and g , find the indicated composition. - f(x)=−5x+8,g(x)=6x+9f(x)=-5 x+8, \quad g(x)=6 x+9f(x)=−5x+8,g(x)=6x+9 (f∘g)(x)(f \circ g)(x)(f∘g)(x)

Find the specified domain. -Find the domain of (fg)(x)\left( \frac { f } { g } \right) ( x )(gf​)(x) when f(x)=5x−3f ( x ) = \frac { 5 } { x - 3 }f(x)=x−35​ and g(x)=7−xg ( x ) = 7 - xg(x)=7−x

Determine the intervals of the domain over which the function is continuous. -

Find the center-radius form of the circle described or graphed. -Find all values of yyy such that the distance between (2,y)( 2 , y )(2,y) and (−10,3)( - 10,3 )(−10,3) is 13 .

Refer to the following graphs to determine an appropriate response. -Which one is the graph of y=xy = \sqrt { x }y=x​ ? What is it's domain?

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

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

Find the center-radius form of the circle described or graphed. -Find all points $( x , y )$ with $x = y$ that are 5 units from $( 9,2 )$ .

Graph the function. - $f(x)=|x|-3$

Find the center-radius form of the equation of the circle. -center $( - \sqrt { 3 } , - 4 )$ , radius $\sqrt { 3 }$

Describe the transformations and give the equation for the graph. -Find $( f - g ) ( - 4 )$ when $f ( x ) = 3 x ^ { 2 } + 1$ and $g ( x ) = x + 5$

Determine if the function is even, odd, or neither. - $f ( x ) = 5 x ^ { 5 } + 3 x ^ { 3 }$

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $f ( x ) = 6 x + 3$

For the given functions f and g , find the indicated composition. - $f(x)=-5 x+8, \quad g(x)=6 x+9$ $(f \circ g)(x)$

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = \frac { 5 } { x - 3 }$ and $g ( x ) = 7 - x$

Find the center-radius form of the circle described or graphed. -Find all values of $y$ such that the distance between $( 2 , y )$ and $( - 10,3 )$ is 13 .

Refer to the following graphs to determine an appropriate response. $Refer to the following graphs to determine an appropriate response. -Which one is the graph of y = \sqrt { x } ? What is it's domain?$ -Which one is the graph of $y = \sqrt { x }$ ? What is it's domain?

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