Question 1

The graph of y = f(x) is given. Use the graph to find the function value.
- 
Find $f ( 4 )$.

Accepted Answer

A)  None of these 
B)  4 
C)  15 
D)  $- 1$ 
A)  None of these 
B)  4 
C)  15 
D)  $- 1$

Question 2

Find the center-radius form of the equation of the circle.
-center $( - 1,0 )$, radius 9

Accepted Answer

A)  $( x - 1 ) ^ { 2 } + y ^ { 2 } = 81$ 
B)  $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$ 
C)  $x ^ { 2 } + ( y + 1 ) ^ { 2 } = 9$ 
D)  $( x + 1 ) ^ { 2 } + y ^ { 2 } = 81$ 
A)  $( x - 1 ) ^ { 2 } + y ^ { 2 } = 81$ 
B)  $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$ 
C)  $x ^ { 2 } + ( y + 1 ) ^ { 2 } = 9$ 
D)  $( x + 1 ) ^ { 2 } + y ^ { 2 } = 81$

Question 3

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-y = f(x) + 10

Accepted Answer

A)  (2, -10) 
B)  (2, 14) 
C)  (-8, 4) 
D)  (12, 4) 
A)  (2, -10) 
B)  (2, 14) 
C)  (-8, 4) 
D)  (12, 4)

Question 4

Write an equation for the line described. Give your answer in slope-intercept form.
-$$m = \frac { 4 } { 3 } , b = - 3$$

Accepted Answer

A)  $y = \frac { 4 } { 3 } x + 3$ 
B)  $y = - 3 x + \frac { 4 } { 3 }$ 
C)  $y = \frac { 4 } { 3 } x - 3$ 
D)  $\frac { 4 } { 3 } x - 3 y = 0$ 
A)  $y = \frac { 4 } { 3 } x + 3$ 
B)  $y = - 3 x + \frac { 4 } { 3 }$ 
C)  $y = \frac { 4 } { 3 } x - 3$ 
D)  $\frac { 4 } { 3 } x - 3 y = 0$

Question 5

Decide whether the relation defines a function.
-$$y = \frac { - 2 } { x + 7 }$$

Accepted Answer

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

Question 6

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

Accepted Answer

A)  $\left( x + 3 ^ { 2 } + ( y + 2 ) ^ { 2 } = 3 \right.$ 
B)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 3$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 9$ 
D)  $( x + 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 9$ 
A)  $\left( x + 3 ^ { 2 } + ( y + 2 ) ^ { 2 } = 3 \right.$ 
B)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 3$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 9$ 
D)  $( x + 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 9$

Question 7

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

Accepted Answer

A)  $f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x \leq 0 \ - 4 & \text { if } x > 0 \end{array} ; \right.$ Domain: $( - \infty , \infty )$, Range: $\{ - 4,4 \}$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x  0 \end{array} ; \right.$ Domain: $\{ - 4,4 \}$, Range: $( - \infty , \infty )$ 
D)  $f ( x ) = \left\{ \begin{array} { l l } - 4 & \text { if } x \leq 0 \ 4 & \text { if } x > 0 \end{array} \right.$; Domain: $\{ - 4,4 \}$, Range: $( - \infty , \infty )$ 
A)  $f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x \leq 0 \ - 4 & \text { if } x > 0 \end{array} ; \right.$ Domain: $( - \infty , \infty )$, Range: $\{ - 4,4 \}$ 
B)  $f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x  0 \end{array} ; \right.$ Domain: $\{ - 4,4 \}$, Range: $( - \infty , \infty )$ 
D)  $f ( x ) = \left\{ \begin{array} { l l } - 4 & \text { if } x \leq 0 \ 4 & \text { if } x > 0 \end{array} \right.$; Domain: $\{ - 4,4 \}$, Range: $( - \infty , \infty )$

Question 8

Decide whether the relation defines a function.
-$$\mathrm { y } = 4 \mathrm { x } - 7$$

Accepted Answer

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

Question 9

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

Accepted Answer

A)  $f ( x ) = \left\{ \begin{array} { c c } - 5 & \text { if } x  1 \end{array} \right.$; Domain: $\{ - 5,3 \}$, Range: $( - \infty , \infty )$ 
C)  $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x  1 \end{array} ; \right.$ Domain: $( - \infty , \infty )$, Range: $\{ - 5,3 \}$ 
A)  $f ( x ) = \left\{ \begin{array} { c c } - 5 & \text { if } x  1 \end{array} \right.$; Domain: $\{ - 5,3 \}$, Range: $( - \infty , \infty )$ 
C)  $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x  1 \end{array} ; \right.$ Domain: $( - \infty , \infty )$, Range: $\{ - 5,3 \}$

Question 10

Solve the problem.
-Use the graphs to find the value of $( \mathrm { fg } ) ( 1 )$.

Accepted Answer

A)  4 
B)  2 
C)  6 
D)  3 
A)  4 
B)  2 
C)  6 
D)  3

Question 11

Give the domain and range of the relation.
-

Accepted Answer

A) $\text { domain: }[0, \infty) \text {; range: }[0, \infty)$ 
B)  domain: $[ 0 , \infty )$; range: $( - \infty , \infty )$ 
C)  domain: $( - \infty , \infty )$; range: $[ 2 , \infty )$ 
D)  domain: $[ 0 , \infty )$; range: $[ 2 , \infty )$ 
A) $\text { domain: }[0, \infty) \text {; range: }[0, \infty)$ 
B)  domain: $[ 0 , \infty )$; range: $( - \infty , \infty )$ 
C)  domain: $( - \infty , \infty )$; range: $[ 2 , \infty )$ 
D)  domain: $[ 0 , \infty )$; range: $[ 2 , \infty )$

Question 12

Solve the problem.
-Find the center-radius form of the equation of a circle with center $( 3,8 )$ and tangent to the $x$-axis.

Accepted Answer

A)  $( x + 3 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 64$ 
B)  $( x + 3 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 9$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 9$ 
D)  $( x - 3 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 64$ 
A)  $( x + 3 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 64$ 
B)  $( x + 3 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 9$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 9$ 
D)  $( x - 3 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 64$

Question 13

Graph the equation by plotting points.
-$y=\sqrt{x-3}$

Accepted Answer

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

Question 14

Decide whether the relation defines a function.
-{(-5, -4), (-2, -6), (3, 6), (7, -9)}

Accepted Answer

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

Question 15

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 16

Find the average rate of change illustrated in the graph.
-

Accepted Answer

A)  $\$ 5000.00$ per year 
B)  $- \$ 4000.00$ per year 
C)  $\$ 4000.00$ per year 
D)  $- \$ 5000.00$ per year 
A)  $\$ 5000.00$ per year 
B)  $- \$ 4000.00$ per year 
C)  $\$ 4000.00$ per year 
D)  $- \$ 5000.00$ per year

Question 17

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

Accepted Answer

A)  (2, -4) 
B)  (2, 4) 
C)  (-2, 4) 
D)  (-2, -4) 
A)  (2, -4) 
B)  (2, 4) 
C)  (-2, 4) 
D)  (-2, -4)

Question 18

Determine if the function is even, odd, or neither.
-$$f ( x ) = - 3 x ^ { 3 } + 5 x ^ { 2 } + 7$$

Accepted Answer

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

Question 19

Solve the problem.
-The cost of manufacturing clocks is given by $C ( x ) = 54 + 30 x - x ^ { 2 }$. Also, it is known that in $t$ hours the number of clocks that can be produced is given by $x = 5 \mathrm { t }$, where $1 \leq t \leq 12$. Express $\mathrm { C }$ as a function of $\mathrm { t }$.

Accepted Answer

A)  $C ( t ) = 54 + 150 t - 25 t$ 
B)  $C ( t ) = 54 + 30 t - 5$ 
C)  $C ( t ) = 54 + 30 t + t ^ { 2 }$ 
D)  $C ( t ) = 54 + 150 t - 25 t ^ { 2 }$ 
A)  $C ( t ) = 54 + 150 t - 25 t$ 
B)  $C ( t ) = 54 + 30 t - 5$ 
C)  $C ( t ) = 54 + 30 t + t ^ { 2 }$ 
D)  $C ( t ) = 54 + 150 t - 25 t ^ { 2 }$

Question 20

Graph the line and give the domain and the range.
-$x+1=0$

Accepted Answer

A)  $\mathrm { D } = \{ - 1 \} , \mathrm { R } = ( - \infty , \infty )$
  
B)  $\mathrm { D } = ( - \infty , \infty ) , R = \{ - 1 \}$
  
C)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ - 1 \}$
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = ( - \infty , \infty )$
  
A)  $\mathrm { D } = \{ - 1 \} , \mathrm { R } = ( - \infty , \infty )$
  
B)  $\mathrm { D } = ( - \infty , \infty ) , R = \{ - 1 \}$
  
C)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ - 1 \}$
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = ( - \infty , \infty )$

The graph of y = f(x) is given. Use the graph to find the function value. - Find $f ( 4 )$ .

Find the center-radius form of the equation of the circle. -center $( - 1,0 )$ , radius 9

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -y = f(x) + 10

Write an equation for the line described. Give your answer in slope-intercept form. - $m = \frac { 4 } { 3 } , b = - 3$

Decide whether the relation defines a function. - $y = \frac { - 2 } { x + 7 }$

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

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

Decide whether the relation defines a function. - $\mathrm { y } = 4 \mathrm { x } - 7$

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

Solve the problem. -Use the graphs to find the value of $( \mathrm { fg } ) ( 1 )$ . $Solve the problem. -Use the graphs to find the value of ( \mathrm { fg } ) ( 1 ) .$

Give the domain and range of the relation. -

Solve the problem. -Find the center-radius form of the equation of a circle with center $( 3,8 )$ and tangent to the $x$ -axis.

Graph the equation by plotting points. - $y=\sqrt{x-3}$ $Graph the equation by plotting points. - y=\sqrt{x-3}$

Decide whether the relation defines a function. -{(-5, -4), (-2, -6), (3, 6), (7, -9)}

Find the average rate of change illustrated in 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. -The reflection of the graph of y = f(x) across the x-axis

Determine if the function is even, odd, or neither. - $f ( x ) = - 3 x ^ { 3 } + 5 x ^ { 2 } + 7$

Solve the problem. -The cost of manufacturing clocks is given by $C ( x ) = 54 + 30 x - x ^ { 2 }$ . Also, it is known that in $t$ hours the number of clocks that can be produced is given by $x = 5 \mathrm { t }$ , where $1 \leq t \leq 12$ . Express $\mathrm { C }$ as a function of $\mathrm { t }$ .

Graph the line and give the domain and the range. - $x+1=0$

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

The graph of y = f(x) is given. Use the graph to find the function value. - Find f(4)f ( 4 )f(4) .

Find the center-radius form of the equation of the circle. -center (−1,0)( - 1,0 )(−1,0) , radius 9

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -y = f(x) + 10

Write an equation for the line described. Give your answer in slope-intercept form. - m=43,b=−3m = \frac { 4 } { 3 } , b = - 3m=34​,b=−3

Decide whether the relation defines a function. - y=−2x+7y = \frac { - 2 } { x + 7 }y=x+7−2​

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

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

Decide whether the relation defines a function. - y=4x−7\mathrm { y } = 4 \mathrm { x } - 7y=4x−7

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

Solve the problem. -Use the graphs to find the value of (fg)(1)( \mathrm { fg } ) ( 1 )(fg)(1) .

Give the domain and range of the relation. -

Solve the problem. -Find the center-radius form of the equation of a circle with center (3,8)( 3,8 )(3,8) and tangent to the xxx -axis.

Graph the equation by plotting points. - y=x−3y=\sqrt{x-3}y=x−3​

Decide whether the relation defines a function. -{(-5, -4), (-2, -6), (3, 6), (7, -9)}

Find the average rate of change illustrated in 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. -The reflection of the graph of y = f(x) across the x-axis

Determine if the function is even, odd, or neither. - f(x)=−3x3+5x2+7f ( x ) = - 3 x ^ { 3 } + 5 x ^ { 2 } + 7f(x)=−3x3+5x2+7

Graph the line and give the domain and the range. - x+1=0x+1=0x+1=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

The graph of y = f(x) is given. Use the graph to find the function value. - Find $f ( 4 )$ .

Find the center-radius form of the equation of the circle. -center $( - 1,0 )$ , radius 9

Write an equation for the line described. Give your answer in slope-intercept form. - $m = \frac { 4 } { 3 } , b = - 3$

Decide whether the relation defines a function. - $y = \frac { - 2 } { x + 7 }$

Decide whether the relation defines a function. - $\mathrm { y } = 4 \mathrm { x } - 7$

Solve the problem. -Use the graphs to find the value of $( \mathrm { fg } ) ( 1 )$ . $Solve the problem. -Use the graphs to find the value of ( \mathrm { fg } ) ( 1 ) .$

Solve the problem. -Find the center-radius form of the equation of a circle with center $( 3,8 )$ and tangent to the $x$ -axis.

Graph the equation by plotting points. - $y=\sqrt{x-3}$ $Graph the equation by plotting points. - y=\sqrt{x-3}$

Determine if the function is even, odd, or neither. - $f ( x ) = - 3 x ^ { 3 } + 5 x ^ { 2 } + 7$

Graph the line and give the domain and the range. - $x+1=0$