Question 1

Write an equation for the line described. Write the equation in the form specified.
-parallel to $3 x + 8 y = 57$; through $( 3,7 )$; standard form

Accepted Answer

A)  $3 x - 8 y = 65$ 
B)  $8 x + 3 y = 7$ 
C)  $3 x + 8 y = 57$ 
D)  $3 x + 8 y = 65$ 
A)  $3 x - 8 y = 65$ 
B)  $8 x + 3 y = 7$ 
C)  $3 x + 8 y = 57$ 
D)  $3 x + 8 y = 65$

Question 2

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

Question 3

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$f(x)=\frac{1}{5} \sqrt{-x}$

Accepted Answer

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

Question 4

For the pair of functions, find the indicated sum, difference, product, or quotient.
-$$f ( x ) = 9 x - 5 , g ( x ) = 5 x - 7$$
Find $( f - g ) ( x )$.

Accepted Answer

A)  $4 x + 2$ 
B)  $- 4 x - 2$ 
C)  $4 x - 12$ 
D)  $14 x - 12$ 
A)  $4 x + 2$ 
B)  $- 4 x - 2$ 
C)  $4 x - 12$ 
D)  $14 x - 12$

Question 5

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

Accepted Answer

A)  $- 12$ 
B)  13 
C)  19 
D)  15 
A)  $- 12$ 
B)  13 
C)  19 
D)  15

Question 6

Use a graphing calculator to solve the linear equation.
-$$- 6 x + 9 + 4 x = - 2 x + 14$$

Accepted Answer

A)  $\{ 5 \}$ 
B)  $\{ - 9 \}$ 
C)  $\varnothing$ 
D)  all real numbers 
A)  $\{ 5 \}$ 
B)  $\{ - 9 \}$ 
C)  $\varnothing$ 
D)  all real numbers

Question 7

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of
these.
-$$y = 5 x ^ { 2 } + 5$$

Accepted Answer

A)  $y$-axis only 
B)  $x$-axis, $y$-axis, origin 
C)  $x$-axis only 
D)  origin only 
A)  $y$-axis only 
B)  $x$-axis, $y$-axis, origin 
C)  $x$-axis only 
D)  origin only

Question 8

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale
on the y-axis.
-

Accepted Answer

A)  0 
B)  undefined 
C)  $- 2$ 
D)  2 
A)  0 
B)  undefined 
C)  $- 2$ 
D)  2

Question 9

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form.
-

Accepted Answer

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

Question 10

Decide whether the relation defines a function.
-

Accepted Answer

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

Question 11

List the ordered pairs from the table.
-

Accepted Answer

A)  (3, 1), (0, 2), (-6, 4), (-9, 5) 
B)  (1, 0), (2, 3), (4, -9), (5, -6) 
C)  (1, -9), (2, -6), (4, 0), (5, 3) 
D)  (1, 3), (2, 0), (4, -6), (5, -9) 
A)  (3, 1), (0, 2), (-6, 4), (-9, 5) 
B)  (1, 0), (2, 3), (4, -9), (5, -6) 
C)  (1, -9), (2, -6), (4, 0), (5, 3) 
D)  (1, 3), (2, 0), (4, -6), (5, -9)

Question 12

For the given functions f and g , find the indicated composition.
-$$f ( x ) = \frac { 1 } { x - 7 } , \quad g ( x ) = \frac { 5 } { 6 x }$$
$( f g ) ( x )$

Accepted Answer

A)  $\frac { 5 x - 35 } { 6 x }$ 
B)  $\frac { 1 x } { 5 - 42 x }$ 
C)  $\frac { 6 x } { 5 + 42 x }$ 
D)  $\frac { 6 x } { 5 - 42 x }$ 
A)  $\frac { 5 x - 35 } { 6 x }$ 
B)  $\frac { 1 x } { 5 - 42 x }$ 
C)  $\frac { 6 x } { 5 + 42 x }$ 
D)  $\frac { 6 x } { 5 - 42 x }$

Question 13

Decide whether the relation defines a function.
-

Accepted Answer

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

Question 14

Write an equation for the line described. Give your answer in standard form.
-through $( 0,5 ) , \mathrm { m } = \frac { 5 } { 9 }$

Accepted Answer

A)  $9 x - 5 y = - 45$ 
B)  $5 x + 9 y = - 45$ 
C)  $5 x - 9 y = - 45$ 
D)  $5 x - 9 y = 45$ 
A)  $9 x - 5 y = - 45$ 
B)  $5 x + 9 y = - 45$ 
C)  $5 x - 9 y = - 45$ 
D)  $5 x - 9 y = 45$

Question 15

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$y=\sqrt{x-5}-1$

Accepted Answer

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

Question 16

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x).
-$$y - 9 x ^ { 2 } = 5 - x$$

Accepted Answer

A)  $f ( x ) = - 9 x ^ { 2 } + x - 5$ 
B)  $f ( x ) = 9 x ^ { 2 } + x + 5$ 
C)  $f ( x ) = 9 x ^ { 2 } - x + 5$ 
D)  $f ( x ) = - 9 x ^ { 2 } - x + 5$ 
A)  $f ( x ) = - 9 x ^ { 2 } + x - 5$ 
B)  $f ( x ) = 9 x ^ { 2 } + x + 5$ 
C)  $f ( x ) = 9 x ^ { 2 } - x + 5$ 
D)  $f ( x ) = - 9 x ^ { 2 } - x + 5$

Question 17

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

Accepted Answer

A)  $- 5$ 
B)  2 
C)  None of these 
D)  $- 3$ 
A)  $- 5$ 
B)  2 
C)  None of these 
D)  $- 3$

Question 18

Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function.
-$$y = f ( x + 5 )$$

Accepted Answer

A)  $( 2,9 )$ 
B)  $( - 3,4 )$ 
C)  $( 2 , - 1 )$ 
D)  $( 7,4 )$ 
A)  $( 2,9 )$ 
B)  $( - 3,4 )$ 
C)  $( 2 , - 1 )$ 
D)  $( 7,4 )$

Question 19

For the given functions f and g , find the indicated composition.
-$$f ( x ) = \frac { x - 2 } { 3 } , \quad g ( x ) = 3 x + 2$$
$( g f ) ( x )$

Accepted Answer

A)  $3 x + 4$ 
B)  $x + 4$ 
C)  $x$ 
D)  $x - \frac { 2 } { 3 }$ 
A)  $3 x + 4$ 
B)  $x + 4$ 
C)  $x$ 
D)  $x - \frac { 2 } { 3 }$

Question 20

Match the description with the correct symbolic expression.
-a constant function

Accepted Answer

A)  $f ( x ) = - 7$ 
B)  $y = - 5 x + 2$ 
C)  $- 5 x + 6 y = 2$ 
D)  $x = - 5$ 
A)  $f ( x ) = - 7$ 
B)  $y = - 5 x + 2$ 
C)  $- 5 x + 6 y = 2$ 
D)  $x = - 5$

Write an equation for the line described. Write the equation in the form specified. -parallel to $3 x + 8 y = 57$ ; through $( 3,7 )$ ; standard form

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

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=\frac{1}{5} \sqrt{-x}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=\frac{1}{5} \sqrt{-x}$

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = 9 x - 5 , g ( x ) = 5 x - 7$ Find $( f - g ) ( x )$ .

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

Use a graphing calculator to solve the linear equation. - $- 6 x + 9 + 4 x = - 2 x + 14$

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $y = 5 x ^ { 2 } + 5$

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. -

Decide whether the relation defines a function. -

List the ordered pairs from the table. -

For the given functions f and g , find the indicated composition. - $f ( x ) = \frac { 1 } { x - 7 } , \quad g ( x ) = \frac { 5 } { 6 x }$ $( f g ) ( x )$

Decide whether the relation defines a function. -

Write an equation for the line described. Give your answer in standard form. -through $( 0,5 ) , \mathrm { m } = \frac { 5 } { 9 }$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=\sqrt{x-5}-1$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=\sqrt{x-5}-1$

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $y - 9 x ^ { 2 } = 5 - x$

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

Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function. - $y = f ( x + 5 )$

For the given functions f and g , find the indicated composition. - $f ( x ) = \frac { x - 2 } { 3 } , \quad g ( x ) = 3 x + 2$ $( g f ) ( x )$

Match the description with the correct symbolic expression. -a constant function

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 3x+8y=573 x + 8 y = 573x+8y=57 ; through (3,7)( 3,7 )(3,7) ; standard form

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

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - f(x)=15−xf(x)=\frac{1}{5} \sqrt{-x}f(x)=51​−x​

For the pair of functions, find the indicated sum, difference, product, or quotient. - f(x)=9x−5,g(x)=5x−7f ( x ) = 9 x - 5 , g ( x ) = 5 x - 7f(x)=9x−5,g(x)=5x−7 Find (f−g)(x)( f - g ) ( x )(f−g)(x) .

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

Use a graphing calculator to solve the linear equation. - −6x+9+4x=−2x+14- 6 x + 9 + 4 x = - 2 x + 14−6x+9+4x=−2x+14

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - y=5x2+5y = 5 x ^ { 2 } + 5y=5x2+5

Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis. -

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. -

Decide whether the relation defines a function. -

List the ordered pairs from the table. -

For the given functions f and g , find the indicated composition. - f(x)=1x−7,g(x)=56xf ( x ) = \frac { 1 } { x - 7 } , \quad g ( x ) = \frac { 5 } { 6 x }f(x)=x−71​,g(x)=6x5​ (fg)(x)( f g ) ( x )(fg)(x)

Decide whether the relation defines a function. -

Write an equation for the line described. Give your answer in standard form. -through (0,5),m=59( 0,5 ) , \mathrm { m } = \frac { 5 } { 9 }(0,5),m=95​

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - y=x−5−1y=\sqrt{x-5}-1y=x−5​−1

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - y−9x2=5−xy - 9 x ^ { 2 } = 5 - xy−9x2=5−x

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

Suppose the point (2, 4) is on the graph of y y=f(x)y = f ( x )y=f(x) . Find a point on the graph of the given function. - y=f(x+5)y = f ( x + 5 )y=f(x+5)

For the given functions f and g , find the indicated composition. - f(x)=x−23,g(x)=3x+2f ( x ) = \frac { x - 2 } { 3 } , \quad g ( x ) = 3 x + 2f(x)=3x−2​,g(x)=3x+2 (gf)(x)( g f ) ( x )(gf)(x)

Match the description with the correct symbolic expression. -a constant function

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 $3 x + 8 y = 57$ ; through $( 3,7 )$ ; standard form

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=\frac{1}{5} \sqrt{-x}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=\frac{1}{5} \sqrt{-x}$

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = 9 x - 5 , g ( x ) = 5 x - 7$ Find $( f - g ) ( x )$ .

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

Use a graphing calculator to solve the linear equation. - $- 6 x + 9 + 4 x = - 2 x + 14$

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $y = 5 x ^ { 2 } + 5$

For the given functions f and g , find the indicated composition. - $f ( x ) = \frac { 1 } { x - 7 } , \quad g ( x ) = \frac { 5 } { 6 x }$ $( f g ) ( x )$

Write an equation for the line described. Give your answer in standard form. -through $( 0,5 ) , \mathrm { m } = \frac { 5 } { 9 }$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=\sqrt{x-5}-1$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=\sqrt{x-5}-1$

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $y - 9 x ^ { 2 } = 5 - x$

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

Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function. - $y = f ( x + 5 )$

For the given functions f and g , find the indicated composition. - $f ( x ) = \frac { x - 2 } { 3 } , \quad g ( x ) = 3 x + 2$ $( g f ) ( x )$