Question 1

Decide whether the relation defines a function.
-$$\{ ( 1 , - 4 ) , ( 2 , - 3 ) , ( 5,6 ) , ( 7 , - 7 ) , ( 10 , - 6 ) \}$$

Accepted Answer

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

Question 2

Write an equation for the line described. Give your answer in slope-intercept form.
-slope $0 , \mathrm { y }$-intercept $\left( 0 , \frac { 5 } { 3 } \right)$

Accepted Answer

A)  $y = \frac { 5 } { 3 } x$ 
B)  $y = - \frac { 5 } { 3 } x$ 
C)  $y = \frac { 5 } { 3 }$ 
D)  $x = \frac { 5 } { 3 }$ 
A)  $y = \frac { 5 } { 3 } x$ 
B)  $y = - \frac { 5 } { 3 } x$ 
C)  $y = \frac { 5 } { 3 }$ 
D)  $x = \frac { 5 } { 3 }$ C

Question 3

Decide whether the relation defines a function.
-$y = 7 x - 3$

Accepted Answer

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

Question 4

Provide an appropriate response.
-If the point (a, b) is in the fourth quadrant, in what quadrant is (b, a)?

Accepted Answer

A)  III 
B)  II 
C)  I 
D)  IV 
A)  III 
B)  II 
C)  I 
D)  IV

Question 5

Graph the function.
-$$y = - \frac { 1 } { 4 } ( x + 3 ) ^ { 3 }$$

Accepted Answer

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

Question 6

Find the specified domain.
-Use the graphs to find the value of $( f g ) ( 1 )$.

Accepted Answer

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

Question 7

The graph of $\mathrm { y } _ { 1 }$ is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation $\mathrm { y } _ { 1 } = 0$ ?

-

$$- 30 , - \frac { 31 } { 6 } , \frac { 31 } { 6 } , 30$$

Accepted Answer

A)  $- \frac { 31 } { 6 }$ 
B)  $\frac { 31 } { 6 }$ 
C)  $- 30$ 
D)  30 
A)  $- \frac { 31 } { 6 }$ 
B)  $\frac { 31 } { 6 }$ 
C)  $- 30$ 
D)  30

Question 8

Find the slope of the line satisfying the given conditions.
-through $( - 7 , - 5 )$ and $( - 1,8 )$

Accepted Answer

A)  $- \frac { 13 } { 6 }$ 
B)  $\frac { 13 } { 6 }$ 
C)  $- \frac { 6 } { 13 }$ 
D)  $\frac { 6 } { 13 }$ 
A)  $- \frac { 13 } { 6 }$ 
B)  $\frac { 13 } { 6 }$ 
C)  $- \frac { 6 } { 13 }$ 
D)  $\frac { 6 } { 13 }$

Question 9

Write an equation for the line described. Write the equation in the form specified.
-parallel to 9x - 2y = -53, through (-5, 7); slope-intercept form

Accepted Answer

A)  $y = - \frac { 5 } { 2 } x + \frac { 53 } { 2 }$ 
B)  $y = \frac { 2 } { 9 } x + \frac { 7 } { 9 }$ 
C)  $y = \frac { 9 } { 2 } x + \frac { 59 } { 2 }$ 
D)  $y = - \frac { 9 } { 2 } x - \frac { 59 } { 2 }$ 
A)  $y = - \frac { 5 } { 2 } x + \frac { 53 } { 2 }$ 
B)  $y = \frac { 2 } { 9 } x + \frac { 7 } { 9 }$ 
C)  $y = \frac { 9 } { 2 } x + \frac { 59 } { 2 }$ 
D)  $y = - \frac { 9 } { 2 } x - \frac { 59 } { 2 }$

Question 10

Find the average rate of change illustrated in the graph.
-Northwest Molded molds plastic handles which cost $0.20 per handle to mold. The fixed cost to run the molding machine is $3906 per week. If the company sells the handles for $2.20 each, how many
Handles must be molded and sold weekly to break even?

Accepted Answer

A)  1627 handles 
B)  1302 handles 
C)  19,530 handles 
D)  1953 handles 
A)  1627 handles 
B)  1302 handles 
C)  19,530 handles 
D)  1953 handles

Question 11

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$
-$$f ( x ) = \sqrt [ 3 ] { x } + 5$$

Accepted Answer

A)  a reflection across the $x$-axis 
B)  a translation 5 units to the right 
C)  a translation 5 units up 
D)  a vertical stretching by a factor of 5 
A)  a reflection across the $x$-axis 
B)  a translation 5 units to the right 
C)  a translation 5 units up 
D)  a vertical stretching by a factor of 5

Question 12

Graph the line and give the domain and the range.
-$$- 3 x + 27 = 0$$

Accepted Answer

A)  $D = \{ 9 \} , R = ( - \infty , \infty )$
  
B)  $D = ( - \infty , \infty ) , R = \{ 9 \}$
  
C)  $D = ( - \infty , \infty ) , R = \{ - 9 \}$
  
D)  $D = \{ - 9 \} , R = ( - \infty , \infty )$
  
A)  $D = \{ 9 \} , R = ( - \infty , \infty )$
  
B)  $D = ( - \infty , \infty ) , R = \{ 9 \}$
  
C)  $D = ( - \infty , \infty ) , R = \{ - 9 \}$
  
D)  $D = \{ - 9 \} , R = ( - \infty , \infty )$

Question 13

Match the description with the correct symbolic expression.
-a linear function whose graph passes through the origin

Accepted Answer

A)  f(x) = 4 
B)  8x - 7y = 8 
C)  y = -4x 
D)  x = 4 
A)  f(x) = 4 
B)  8x - 7y = 8 
C)  y = -4x 
D)  x = 4

Question 14

Graph the line described.
-$$\text { through } ( 5 , - 3 ) ; m = 0$$

Accepted Answer

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

Question 15

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

Accepted Answer

A)  15 
B)  39 
C)  9 
D)  $- 9$ 
A)  15 
B)  39 
C)  9 
D)  $- 9$

Question 16

The graph of $\mathrm { y } _ { 1 }$ is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation $\mathrm { y } _ { 1 } = 0$ ?

- 
$-5,5, \frac{16}{3}, 15$

Accepted Answer

A)  5 
B)  15 
C)  $- 5$ 
D)  $\frac { 16 } { 3 }$ 
A)  5 
B)  15 
C)  $- 5$ 
D)  $\frac { 16 } { 3 }$

Question 17

Find the slope of the line satisfying the given conditions.
-vertical, through (3, 4)

Accepted Answer

A)  0 
B)  1 
C)  -1 
D)  undefined 
A)  0 
B)  1 
C)  -1 
D)  undefined

Question 18

Match the equation with the correct graph.
-$$y - 4 = \frac { 7 } { 6 } ( x - 3 )$$

Accepted Answer

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

Question 19

For the pair of functions, find the indicated sum, difference, product, or quotient.
-$$f ( x ) = \sqrt { 3 x + 3 } , g ( x ) = \frac { 1 } { x }$$
Find $\left( \frac { f } { g } \right) ( x )$.

Accepted Answer

A)  $x \sqrt { 3 x + 3 }$ 
B)  $\frac { 1 } { x \sqrt { 3 x + 3 } }$ 
C)  $\frac { \sqrt { 3 x + 3 } } { x }$ 
D)  $\frac { x } { \sqrt { 3 x + 3 } }$ 
A)  $x \sqrt { 3 x + 3 }$ 
B)  $\frac { 1 } { x \sqrt { 3 x + 3 } }$ 
C)  $\frac { \sqrt { 3 x + 3 } } { x }$ 
D)  $\frac { x } { \sqrt { 3 x + 3 } }$

Question 20

Refer to the following graphs to determine an appropriate response.  
-Which graphs of functions increase over the whole of their domain?

Accepted Answer

A)  graphs C and D 
B)  graphs A and B 
C)  graphs A and D 
D)  graph D 
A)  graphs C and D 
B)  graphs A and B 
C)  graphs A and D 
D)  graph D

Decide whether the relation defines a function. - $\{ ( 1 , - 4 ) , ( 2 , - 3 ) , ( 5,6 ) , ( 7 , - 7 ) , ( 10 , - 6 ) \}$

Write an equation for the line described. Give your answer in slope-intercept form. -slope $0 , \mathrm { y }$ -intercept $\left( 0 , \frac { 5 } { 3 } \right)$

Decide whether the relation defines a function. - $y = 7 x - 3$

Provide an appropriate response. -If the point (a, b) is in the fourth quadrant, in what quadrant is (b, a)?

Graph the function. - $y = - \frac { 1 } { 4 } ( x + 3 ) ^ { 3 }$ $Graph the function. - y = - \frac { 1 } { 4 } ( x + 3 ) ^ { 3 }$

Find the specified domain. -Use the graphs to find the value of $( f g ) ( 1 )$ .

Find the slope of the line satisfying the given conditions. -through $( - 7 , - 5 )$ and $( - 1,8 )$

Write an equation for the line described. Write the equation in the form specified. -parallel to 9x - 2y = -53, through (-5, 7); slope-intercept form

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ - $f ( x ) = \sqrt [ 3 ] { x } + 5$

Graph the line and give the domain and the range. - $- 3 x + 27 = 0$

Match the description with the correct symbolic expression. -a linear function whose graph passes through the origin

Graph the line described. - $\text { through } ( 5 , - 3 ) ; m = 0$ $Graph the line described. - \text { through } ( 5 , - 3 ) ; m = 0$

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

Find the slope of the line satisfying the given conditions. -vertical, through (3, 4)

Match the equation with the correct graph. - $y - 4 = \frac { 7 } { 6 } ( x - 3 )$

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = \sqrt { 3 x + 3 } , g ( x ) = \frac { 1 } { x }$ Find $\left( \frac { f } { g } \right) ( x )$ .

Refer to the following graphs to determine an appropriate response. -Which graphs of functions increase over the whole of their domain?

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

Decide whether the relation defines a function. - {(1,−4),(2,−3),(5,6),(7,−7),(10,−6)}\{ ( 1 , - 4 ) , ( 2 , - 3 ) , ( 5,6 ) , ( 7 , - 7 ) , ( 10 , - 6 ) \}{(1,−4),(2,−3),(5,6),(7,−7),(10,−6)}

Write an equation for the line described. Give your answer in slope-intercept form. -slope 0,y0 , \mathrm { y }0,y -intercept (0,53)\left( 0 , \frac { 5 } { 3 } \right)(0,35​)

Decide whether the relation defines a function. - y=7x−3y = 7 x - 3y=7x−3

Provide an appropriate response. -If the point (a, b) is in the fourth quadrant, in what quadrant is (b, a)?

Graph the function. - y=−14(x+3)3y = - \frac { 1 } { 4 } ( x + 3 ) ^ { 3 }y=−41​(x+3)3

Find the specified domain. -Use the graphs to find the value of (fg)(1)( f g ) ( 1 )(fg)(1) .

The graph of y1\mathrm { y } _ { 1 }y1​ is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation y1=0\mathrm { y } _ { 1 } = 0y1​=0 ? - −30,−316,316,30- 30 , - \frac { 31 } { 6 } , \frac { 31 } { 6 } , 30−30,−631​,631​,30

Find the slope of the line satisfying the given conditions. -through (−7,−5)( - 7 , - 5 )(−7,−5) and (−1,8)( - 1,8 )(−1,8)

Write an equation for the line described. Write the equation in the form specified. -parallel to 9x - 2y = -53, through (-5, 7); slope-intercept form

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ - f(x)=x3+5f ( x ) = \sqrt [ 3 ] { x } + 5f(x)=3x​+5

Graph the line and give the domain and the range. - −3x+27=0- 3 x + 27 = 0−3x+27=0

Match the description with the correct symbolic expression. -a linear function whose graph passes through the origin

Graph the line described. - through (5,−3);m=0\text { through } ( 5 , - 3 ) ; m = 0 through (5,−3);m=0

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

The graph of y1\mathrm { y } _ { 1 }y1​ is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation y1=0\mathrm { y } _ { 1 } = 0y1​=0 ? - −5,5,163,15-5,5, \frac{16}{3}, 15−5,5,316​,15

Find the slope of the line satisfying the given conditions. -vertical, through (3, 4)

Match the equation with the correct graph. - y−4=76(x−3)y - 4 = \frac { 7 } { 6 } ( x - 3 )y−4=67​(x−3)

For the pair of functions, find the indicated sum, difference, product, or quotient. - f(x)=3x+3,g(x)=1xf ( x ) = \sqrt { 3 x + 3 } , g ( x ) = \frac { 1 } { x }f(x)=3x+3​,g(x)=x1​ Find (fg)(x)\left( \frac { f } { g } \right) ( x )(gf​)(x) .

Refer to the following graphs to determine an appropriate response. -Which graphs of functions increase over the whole of their domain?

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

Decide whether the relation defines a function. - $\{ ( 1 , - 4 ) , ( 2 , - 3 ) , ( 5,6 ) , ( 7 , - 7 ) , ( 10 , - 6 ) \}$

Write an equation for the line described. Give your answer in slope-intercept form. -slope $0 , \mathrm { y }$ -intercept $\left( 0 , \frac { 5 } { 3 } \right)$

Decide whether the relation defines a function. - $y = 7 x - 3$

Graph the function. - $y = - \frac { 1 } { 4 } ( x + 3 ) ^ { 3 }$ $Graph the function. - y = - \frac { 1 } { 4 } ( x + 3 ) ^ { 3 }$

Find the specified domain. -Use the graphs to find the value of $( f g ) ( 1 )$ .

Find the slope of the line satisfying the given conditions. -through $( - 7 , - 5 )$ and $( - 1,8 )$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ - $f ( x ) = \sqrt [ 3 ] { x } + 5$

Graph the line and give the domain and the range. - $- 3 x + 27 = 0$

Graph the line described. - $\text { through } ( 5 , - 3 ) ; m = 0$ $Graph the line described. - \text { through } ( 5 , - 3 ) ; m = 0$

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

Match the equation with the correct graph. - $y - 4 = \frac { 7 } { 6 } ( x - 3 )$

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = \sqrt { 3 x + 3 } , g ( x ) = \frac { 1 } { x }$ Find $\left( \frac { f } { g } \right) ( x )$ .