Question 1

Write an equation for the line described. Give your answer in slope-intercept form.
-vertical, through (4, -1)

Accepted Answer

A)  x = -1 
B) x = 4 
C) y = -1 
D) y = 4 
A)  x = -1 
B) x = 4 
C) y = -1 
D) y = 4 B

Question 2

Find the center-radius form of the equation of the circle.
-center $( - 3,10 )$, radius $\sqrt { 10 }$

Accepted Answer

A)  $( x + 3 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 10$ 
B)  $( x - 10 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 100$ 
C)  $( x + 10 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 100$ 
D)  $( x - 3 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 10$ 
A)  $( x + 3 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 10$ 
B)  $( x - 10 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 100$ 
C)  $( x + 10 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 100$ 
D)  $( x - 3 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 10$ A

Question 3

Determine whether the three points are the vertices of a right triangle.
-(9, 1), (15, 3), (14, -2)

Accepted Answer

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

Question 4

Graph the function.
-

Accepted Answer

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

Question 5

Determine if the function is even, odd, or neither.
-$$f ( x ) = 2 x ^ { 2 } + 1$$

Accepted Answer

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

Question 6

Use a graphing calculator to solve the linear equation.
-Rewrite the equation so that one side is 0 , then replace 0 with $y$. The graph of the equation for $y$ is shown. Use the graph to determine the solution of the equation.
$$3 x + 1 + x = 2 x - 3$$

Accepted Answer

A)  $y = 4 x + 2 ; - 2$ 
B)  $y = 2 x + 4 ; - 2$ 
C)  $y = 4 x + 2 ; 0$ 
D)  $y = 2 x + 4 ; 0$ 
A)  $y = 4 x + 2 ; - 2$ 
B)  $y = 2 x + 4 ; - 2$ 
C)  $y = 4 x + 2 ; 0$ 
D)  $y = 2 x + 4 ; 0$

Question 7

Write an equation for the line described. Write the equation in the form specified.
-parallel to $y + 6 x = 4$, through $( 4,5 )$; slope-intercept form

Accepted Answer

A)  $y = - 6 x - 29$ 
B)  $y = - \frac { 1 } { 6 } x - \frac { 29 } { 6 }$ 
C)  $y = 6 x - 29$ 
D)  $y = - 6 x + 29$ 
A)  $y = - 6 x - 29$ 
B)  $y = - \frac { 1 } { 6 } x - \frac { 29 } { 6 }$ 
C)  $y = 6 x - 29$ 
D)  $y = - 6 x + 29$

Question 8

Determine whether the three points are the vertices of a right triangle.
-(-5, 11), (-3, 15), (-1, 14)

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

Give the domain and range of the relation.
-$\{ ( 2,2 ) , ( - 3 , - 3 ) , ( - 6 , - 6 ) , ( 6,6 ) \}$

Accepted Answer

A)  None of these 
B)  domain: $\{ 2,6 \}$; range: $\{ - 6 , - 3 \}$ 
C)  domain: $\{ - 6 , - 3,2,6 \}$; range: $\{ - 6 , - 3,2,6 \}$ 
D)  domain: $\{ - 6 , - 3 \}$; range: $\{ 2,6 \}$ 
A)  None of these 
B)  domain: $\{ 2,6 \}$; range: $\{ - 6 , - 3 \}$ 
C)  domain: $\{ - 6 , - 3,2,6 \}$; range: $\{ - 6 , - 3,2,6 \}$ 
D)  domain: $\{ - 6 , - 3 \}$; range: $\{ 2,6 \}$

Question 11

Graph the function.
-$$y = - 2 | x |$$

Accepted Answer

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

Question 12

Match the equation with the correct graph.
-$$2 x - 3 y = - 6$$

Accepted Answer

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

Question 13

Solve the problem. Write all linear equations in slope-intercept form.
-Suppose that a sales person observes that if an item is priced at $\$ 3$ per item then 7 items are sold. If 5 items are sold for $\$ 5$ per item then find a linear equation to model the number $y$ of items sold for $x$ dollars per item. Find the slope-intercept form of the equation of the line.

Accepted Answer

A)  $y = - x + 4$ 
B)  $y = - x + 10$ 
C)  $y = x + 10$ 
D)  $y = x + 4$ 
A)  $y = - x + 4$ 
B)  $y = - x + 10$ 
C)  $y = x + 10$ 
D)  $y = x + 4$

Question 14

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

Accepted Answer

A)  $1.3 \mathrm {~mm}$ per second 
B)  $1 \mathrm {~mm}$ per second 
C)  $0.75 \mathrm {~mm}$ per second 
D)  $0.85 \mathrm {~mm}$ per second 
A)  $1.3 \mathrm {~mm}$ per second 
B)  $1 \mathrm {~mm}$ per second 
C)  $0.75 \mathrm {~mm}$ per second 
D)  $0.85 \mathrm {~mm}$ per second

Question 15

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such.
-$2 x-4 y=0$

Accepted Answer

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

Question 16

Evaluate the function.
-Find $f ( - x )$ when $f ( x ) = - 3 x ^ { 2 } + 2 x + 5$

Accepted Answer

A)  $- 3 x ^ { 2 } - 2 x + 5$ 
B)  $3 x ^ { 2 } - 2 x - 5$ 
C)  $3 x ^ { 2 } - 2 x + 5$ 
D)  $- 3 x ^ { 2 } - 2 x - 5$ 
A)  $- 3 x ^ { 2 } - 2 x + 5$ 
B)  $3 x ^ { 2 } - 2 x - 5$ 
C)  $3 x ^ { 2 } - 2 x + 5$ 
D)  $- 3 x ^ { 2 } - 2 x - 5$

Question 17

Solve the problem.
-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 18

Graph the line and give the domain and the range.
-$$- 3 x + 15 = 0$$

Accepted Answer

A)  $D = ( - \infty , \infty ) , R = \{ - 5 \}$
  
B)  $\mathrm { D } = \{ - 5 \} , \mathrm { R } = ( - \infty , \infty )$
  
C)  $\mathrm { D } = \{ 5 \} , \mathrm { R } = ( - \infty , \infty )$
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 5 \}$
  
A)  $D = ( - \infty , \infty ) , R = \{ - 5 \}$
  
B)  $\mathrm { D } = \{ - 5 \} , \mathrm { R } = ( - \infty , \infty )$
  
C)  $\mathrm { D } = \{ 5 \} , \mathrm { R } = ( - \infty , \infty )$
  
D)  $\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 5 \}$

Question 19

Find the slope of the line satisfying the given conditions.
-through $( 4 , - 4 )$ and $( 4 , - 9 )$

Accepted Answer

A)  undefined 
B)  5 
C)  $- 5$ 
D)  0 
A)  undefined 
B)  5 
C)  $- 5$ 
D)  0

Question 20

Decide whether the relation defines a function.
-

Accepted Answer

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

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (4, -1)

Find the center-radius form of the equation of the circle. -center $( - 3,10 )$ , radius $\sqrt { 10 }$

Determine whether the three points are the vertices of a right triangle. -(9, 1), (15, 3), (14, -2)

Graph the function. -

Determine if the function is even, odd, or neither. - $f ( x ) = 2 x ^ { 2 } + 1$

Use a graphing calculator to solve the linear equation. -Rewrite the equation so that one side is 0 , then replace 0 with $y$ . The graph of the equation for $y$ is shown. Use the graph to determine the solution of the equation. $3 x + 1 + x = 2 x - 3$

Write an equation for the line described. Write the equation in the form specified. -parallel to $y + 6 x = 4$ , through $( 4,5 )$ ; slope-intercept form

Determine whether the three points are the vertices of a right triangle. -(-5, 11), (-3, 15), (-1, 14)

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

Give the domain and range of the relation. - $\{ ( 2,2 ) , ( - 3 , - 3 ) , ( - 6 , - 6 ) , ( 6,6 ) \}$

Graph the function. - $y = - 2 | x |$

Match the equation with the correct graph. - $2 x - 3 y = - 6$

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

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $2 x-4 y=0$

Evaluate the function. -Find $f ( - x )$ when $f ( x ) = - 3 x ^ { 2 } + 2 x + 5$

Solve the problem. -Find all points $( x , y )$ with $x = y$ that are 5 units from $( 9,2 )$ .

Graph the line and give the domain and the range. - $- 3 x + 15 = 0$

Find the slope of the line satisfying the given conditions. -through $( 4 , - 4 )$ and $( 4 , - 9 )$

Decide whether the relation defines a function. -

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

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (4, -1)

Find the center-radius form of the equation of the circle. -center (−3,10)( - 3,10 )(−3,10) , radius 10\sqrt { 10 }10​

Determine whether the three points are the vertices of a right triangle. -(9, 1), (15, 3), (14, -2)

Graph the function. -

Determine if the function is even, odd, or neither. - f(x)=2x2+1f ( x ) = 2 x ^ { 2 } + 1f(x)=2x2+1

Use a graphing calculator to solve the linear equation. -Rewrite the equation so that one side is 0 , then replace 0 with yyy . The graph of the equation for yyy is shown. Use the graph to determine the solution of the equation. 3x+1+x=2x−33 x + 1 + x = 2 x - 33x+1+x=2x−3

Write an equation for the line described. Write the equation in the form specified. -parallel to y+6x=4y + 6 x = 4y+6x=4 , through (4,5)( 4,5 )(4,5) ; slope-intercept form

Determine whether the three points are the vertices of a right triangle. -(-5, 11), (-3, 15), (-1, 14)

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

Give the domain and range of the relation. - {(2,2),(−3,−3),(−6,−6),(6,6)}\{ ( 2,2 ) , ( - 3 , - 3 ) , ( - 6 , - 6 ) , ( 6,6 ) \}{(2,2),(−3,−3),(−6,−6),(6,6)}

Graph the function. - y=−2∣x∣y = - 2 | x |y=−2∣x∣

Match the equation with the correct graph. - 2x−3y=−62 x - 3 y = - 62x−3y=−6

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

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - 2x−4y=02 x-4 y=02x−4y=0

Evaluate the function. -Find f(−x)f ( - x )f(−x) when f(x)=−3x2+2x+5f ( x ) = - 3 x ^ { 2 } + 2 x + 5f(x)=−3x2+2x+5

Solve the problem. -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) .

Graph the line and give the domain and the range. - −3x+15=0- 3 x + 15 = 0−3x+15=0

Find the slope of the line satisfying the given conditions. -through (4,−4)( 4 , - 4 )(4,−4) and (4,−9)( 4 , - 9 )(4,−9)

Decide whether the relation defines a function. -

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

Find the center-radius form of the equation of the circle. -center $( - 3,10 )$ , radius $\sqrt { 10 }$

Determine if the function is even, odd, or neither. - $f ( x ) = 2 x ^ { 2 } + 1$

Use a graphing calculator to solve the linear equation. -Rewrite the equation so that one side is 0 , then replace 0 with $y$ . The graph of the equation for $y$ is shown. Use the graph to determine the solution of the equation. $3 x + 1 + x = 2 x - 3$

Write an equation for the line described. Write the equation in the form specified. -parallel to $y + 6 x = 4$ , through $( 4,5 )$ ; slope-intercept form

Give the domain and range of the relation. - $\{ ( 2,2 ) , ( - 3 , - 3 ) , ( - 6 , - 6 ) , ( 6,6 ) \}$

Graph the function. - $y = - 2 | x |$

Match the equation with the correct graph. - $2 x - 3 y = - 6$

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $2 x-4 y=0$

Evaluate the function. -Find $f ( - x )$ when $f ( x ) = - 3 x ^ { 2 } + 2 x + 5$

Solve the problem. -Find all points $( x , y )$ with $x = y$ that are 5 units from $( 9,2 )$ .

Graph the line and give the domain and the range. - $- 3 x + 15 = 0$

Find the slope of the line satisfying the given conditions. -through $( 4 , - 4 )$ and $( 4 , - 9 )$