Question 1

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.
-$$y = 2 x ^ { 4 } + 8 x - 4$$

Accepted Answer

A)  $y$-axis only 
B)  origin only 
C)  x-axis only 
D)  none of these 
A)  $y$-axis only 
B)  origin only 
C)  x-axis only 
D)  none of these

Question 2

Decide whether the relation defines a function.
-$\{ ( - 5,4 ) , ( - 2 , - 8 ) , ( - 1,8 ) , ( 7 , - 2 ) \}$

Accepted Answer

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

Question 3

Select the equation that describes the graph shown.

Accepted Answer

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

Question 4

Graph the equation by plotting points.
-$y=\sqrt{x}-4$

Accepted Answer

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

Question 5

Write all linear equations in slope-intercept form.
-A biologist recorded 6 snakes on 16 acres in one area and 15 snakes on 33 acres in another area. Find a linear equation that models the number of snakes in x acres.

Accepted Answer

A)  $y = x + 10$ 
B)  $y = \frac { 9 } { 17 } x + \frac { 42 } { 17 }$ 
C)  $y = \frac { 9 } { 17 } x - \frac { 42 } { 17 }$ 
D)  $y = \frac { 17 } { 9 } x - \frac { 17 } { 42 }$ 
A)  $y = x + 10$ 
B)  $y = \frac { 9 } { 17 } x + \frac { 42 } { 17 }$ 
C)  $y = \frac { 9 } { 17 } x - \frac { 42 } { 17 }$ 
D)  $y = \frac { 17 } { 9 } x - \frac { 17 } { 42 }$

Question 6

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.
-$$x ^ { 2 } + y ^ { 2 } + 10 x - 18 y + 42 = 0$$

Accepted Answer

A)  no; the graph is the point $( 5 , - 9 )$ 
B)  yes 
C)  no; the graph is nonexistent 
D)  no; the graph is the point $( - 5,9 )$ 
A)  no; the graph is the point $( 5 , - 9 )$ 
B)  yes 
C)  no; the graph is nonexistent 
D)  no; the graph is the point $( - 5,9 )$

Question 7

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$f(x)=\frac{1}{4} x^{3}$

Accepted Answer

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

Question 8

Find the specified domain.
-Find the domain of $( f - g ) ( x )$ when $f ( x ) = 8 x - 2$ and $g ( x ) = 5 x - 4$.

Accepted Answer

A)  $( - 8,2 )$ 
B)  $( - 8 , \infty )$ 
C)  $( - 2,8 )$ 
D)  $( - \infty , \infty )$ 
A)  $( - 8,2 )$ 
B)  $( - 8 , \infty )$ 
C)  $( - 2,8 )$ 
D)  $( - \infty , \infty )$

Question 9

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.  
-The volume of water added to a circular drum of radius r is given by V $\mathrm { V } _ { \mathrm { w } } = 25 \mathrm { t } , \text { where } \mathrm { V } _ { \mathrm { w } }$ is volume in cu ft and t is time in sec. Find the depth of water in a drum of radius 6 ft after adding water for 18 sec. (Round result to
One decimal place.)

Accepted Answer

A)  8.0 ft 
B)  2.0 ft 
C)  12.6 ft 
D)  4.0 ft 
A)  8.0 ft 
B)  2.0 ft 
C)  12.6 ft 
D)  4.0 ft

Question 10

For the given functions f and g , find the indicated composition.
-$$f ( x ) = 4 x ^ { 2 } + 2 x + 7 , \quad g ( x ) = 2 x - 8$$
$( g f ) ( x )$

Accepted Answer

A)  $4 x ^ { 2 } + 2 x - 1$ 
B)  $8 x ^ { 2 } + 4 x + 6$ 
C)  $4 x ^ { 2 } + 4 x + 6$ 
D)  $8 x ^ { 2 } + 4 x + 22$ 
A)  $4 x ^ { 2 } + 2 x - 1$ 
B)  $8 x ^ { 2 } + 4 x + 6$ 
C)  $4 x ^ { 2 } + 4 x + 6$ 
D)  $8 x ^ { 2 } + 4 x + 22$

Question 11

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$y=|x-7|-5$

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

Find the requested function value.
-Find $( f \circ g ) ( 3 )$ when $f ( x ) = - 8 x + 5$ and $g ( x ) = - 3 x ^ { 2 } - 7 x + 5$.

Accepted Answer

A)  195 
B)  349 
C)  $- 945$ 
D)  205 
A)  195 
B)  349 
C)  $- 945$ 
D)  205

Question 14

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x).
-$14 x + 4 y = 4$

Accepted Answer

A)  $f ( x ) = \frac { 7 } { 2 } x + 1$ 
B)  $f ( x ) = \frac { 7 } { 2 } x - 1$ 
C)  $f ( x ) = 14 x - 4$ 
D)  $f ( x ) = - \frac { 7 } { 2 } x + 1$ 
A)  $f ( x ) = \frac { 7 } { 2 } x + 1$ 
B)  $f ( x ) = \frac { 7 } { 2 } x - 1$ 
C)  $f ( x ) = 14 x - 4$ 
D)  $f ( x ) = - \frac { 7 } { 2 } x + 1$

Question 15

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

Question 16

Find the specified domain.
-Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = 2 x - 6$ and $g ( x ) = 7 x - 2$

Accepted Answer

A)  $\left( \infty , \frac { 2 } { 7 } \right) \cup \left( \frac { 2 } { 7 } , \infty \right)$ 
B)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , \infty )$ 
D)  $\left( \infty , \frac { 2 } { 7 } \right) \cup \left( \frac { 2 } { 7 } , 3 \right) \cup ( 3 , \infty )$ 
A)  $\left( \infty , \frac { 2 } { 7 } \right) \cup \left( \frac { 2 } { 7 } , \infty \right)$ 
B)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , \infty )$ 
D)  $\left( \infty , \frac { 2 } { 7 } \right) \cup \left( \frac { 2 } { 7 } , 3 \right) \cup ( 3 , \infty )$

Question 17

Decide whether the relation defines a function.
-$y = x ^ { 3 }$

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

Graph the point symmetric to the given point.
-Plot the point (2, 0), then plot the point that is symmetric to (2, 0) with respect to the y-axis.

Accepted Answer

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

Question 20

Use a graphing calculator to solve the linear equation.
-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 $\mathrm { y } _ { 1 } = 0$ ?

$$- 12 , - 7 , - \frac { 13 } { 4 } , 12$$

Accepted Answer

A)  $- 7$ 
B)  $- 12$ 
C)  12 
D)  $- \frac { 13 } { 4 }$ 
A)  $- 7$ 
B)  $- 12$ 
C)  12 
D)  $- \frac { 13 } { 4 }$

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. - $y = 2 x ^ { 4 } + 8 x - 4$

Decide whether the relation defines a function. - $\{ ( - 5,4 ) , ( - 2 , - 8 ) , ( - 1,8 ) , ( 7 , - 2 ) \}$

Select the equation that describes the graph shown.

Graph the equation by plotting points. - $y=\sqrt{x}-4$ $Graph the equation by plotting points. - y=\sqrt{x}-4$

Write all linear equations in slope-intercept form. -A biologist recorded 6 snakes on 16 acres in one area and 15 snakes on 33 acres in another area. Find a linear equation that models the number of snakes in x acres.

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - $x ^ { 2 } + y ^ { 2 } + 10 x - 18 y + 42 = 0$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=\frac{1}{4} x^{3}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=\frac{1}{4} x^{3}$

Find the specified domain. -Find the domain of $( f - g ) ( x )$ when $f ( x ) = 8 x - 2$ and $g ( x ) = 5 x - 4$ .

For the given functions f and g , find the indicated composition. - $f ( x ) = 4 x ^ { 2 } + 2 x + 7 , \quad g ( x ) = 2 x - 8$ $( g f ) ( x )$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=|x-7|-5$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=|x-7|-5$

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

Find the requested function value. -Find $( f \circ g ) ( 3 )$ when $f ( x ) = - 8 x + 5$ and $g ( x ) = - 3 x ^ { 2 } - 7 x + 5$ .

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $14 x + 4 y = 4$

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

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = 2 x - 6$ and $g ( x ) = 7 x - 2$

Decide whether the relation defines a function. - $y = x ^ { 3 }$

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

Graph the point symmetric to the given point. -Plot the point (2, 0), then plot the point that is symmetric to (2, 0) with respect to the y-axis.

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

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=2x4+8x−4y = 2 x ^ { 4 } + 8 x - 4y=2x4+8x−4

Decide whether the relation defines a function. - {(−5,4),(−2,−8),(−1,8),(7,−2)}\{ ( - 5,4 ) , ( - 2 , - 8 ) , ( - 1,8 ) , ( 7 , - 2 ) \}{(−5,4),(−2,−8),(−1,8),(7,−2)}

Select the equation that describes the graph shown.

Graph the equation by plotting points. - y=x−4y=\sqrt{x}-4y=x​−4

Write all linear equations in slope-intercept form. -A biologist recorded 6 snakes on 16 acres in one area and 15 snakes on 33 acres in another area. Find a linear equation that models the number of snakes in x acres.

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - x2+y2+10x−18y+42=0x ^ { 2 } + y ^ { 2 } + 10 x - 18 y + 42 = 0x2+y2+10x−18y+42=0

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - f(x)=14x3f(x)=\frac{1}{4} x^{3}f(x)=41​x3

Find the specified domain. -Find the domain of (f−g)(x)( f - g ) ( x )(f−g)(x) when f(x)=8x−2f ( x ) = 8 x - 2f(x)=8x−2 and g(x)=5x−4g ( x ) = 5 x - 4g(x)=5x−4 .

For the given functions f and g , find the indicated composition. - f(x)=4x2+2x+7,g(x)=2x−8f ( x ) = 4 x ^ { 2 } + 2 x + 7 , \quad g ( x ) = 2 x - 8f(x)=4x2+2x+7,g(x)=2x−8 (gf)(x)( g f ) ( x )(gf)(x)

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - y=∣x−7∣−5y=|x-7|-5y=∣x−7∣−5

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

Find the requested function value. -Find (f∘g)(3)( f \circ g ) ( 3 )(f∘g)(3) when f(x)=−8x+5f ( x ) = - 8 x + 5f(x)=−8x+5 and g(x)=−3x2−7x+5g ( x ) = - 3 x ^ { 2 } - 7 x + 5g(x)=−3x2−7x+5 .

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - 14x+4y=414 x + 4 y = 414x+4y=4

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

Find the specified domain. -Find the domain of (fg)(x)\left( \frac { f } { g } \right) ( x )(gf​)(x) when f(x)=2x−6f ( x ) = 2 x - 6f(x)=2x−6 and g(x)=7x−2g ( x ) = 7 x - 2g(x)=7x−2

Decide whether the relation defines a function. - y=x3y = x ^ { 3 }y=x3

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

Graph the point symmetric to the given point. -Plot the point (2, 0), then plot the point that is symmetric to (2, 0) with respect to the y-axis.

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

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. - $y = 2 x ^ { 4 } + 8 x - 4$

Decide whether the relation defines a function. - $\{ ( - 5,4 ) , ( - 2 , - 8 ) , ( - 1,8 ) , ( 7 , - 2 ) \}$

Graph the equation by plotting points. - $y=\sqrt{x}-4$ $Graph the equation by plotting points. - y=\sqrt{x}-4$

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. - $x ^ { 2 } + y ^ { 2 } + 10 x - 18 y + 42 = 0$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=\frac{1}{4} x^{3}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=\frac{1}{4} x^{3}$

Find the specified domain. -Find the domain of $( f - g ) ( x )$ when $f ( x ) = 8 x - 2$ and $g ( x ) = 5 x - 4$ .

For the given functions f and g , find the indicated composition. - $f ( x ) = 4 x ^ { 2 } + 2 x + 7 , \quad g ( x ) = 2 x - 8$ $( g f ) ( x )$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=|x-7|-5$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=|x-7|-5$

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

Find the requested function value. -Find $( f \circ g ) ( 3 )$ when $f ( x ) = - 8 x + 5$ and $g ( x ) = - 3 x ^ { 2 } - 7 x + 5$ .

An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x). - $14 x + 4 y = 4$

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = 2 x - 6$ and $g ( x ) = 7 x - 2$

Decide whether the relation defines a function. - $y = x ^ { 3 }$

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