Question 1

The graph of $f ( x ) = ( x + 3 ) ^ { 3 }$ is the same as the graph of $f ( x ) = x ^ { 3 }$ except that it is shifted __________ units to the __________.

Accepted Answer

The answer of The graph of \(f ( x )...

Question 2

The graph in the following illustration shows the depths of a submarine at certain times. 
 
 How large an ascent does the sub begin to make 7 hours after launch? __________ feet

Accepted Answer

A)  500 
B)  250 
C)  50 
D)  100 
E)  5000 
A)  500 
B)  250 
C)  50 
D)  100 
E)  5000

Question 3

Which one of the following equations defines y as a function of x ?

Accepted Answer

A)  $y = | x - 7 |$ 
B)  $x = | y |$ 
C)  $y ^ { 2 } = 6 x - 7$ 
D)  $x ^ { 2 } + y ^ { 2 } = 6$ 
A)  $y = | x - 7 |$ 
B)  $x = | y |$ 
C)  $y ^ { 2 } = 6 x - 7$ 
D)  $x ^ { 2 } + y ^ { 2 } = 6$

Question 4

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. $y = 5 x + 6 , y = 5 x - 7$

Accepted Answer

A)  neither 
B)  parallel 
C)  perpendicular 
A)  neither 
B)  parallel 
C)  perpendicular

Question 5

Find the slope of the line that passes through the given points, if possible. (- 9, - 2), (- 9, - 6)

Accepted Answer

A)  $- \frac { 1 } { 6 }$ 
B)  9 
C)  0 
D)  $\frac { 1 } { 2 }$ 
E)  undefined 
A)  $- \frac { 1 } { 6 }$ 
B)  9 
C)  0 
D)  $\frac { 1 } { 2 }$ 
E)  undefined

Question 6

Refer to the graph.   Which line is vertical?

Accepted Answer

A)  $l _ { 2 }$ 
B)  $l _ { 3 }$ 
C)  $l _ { 1 }$ 
D)  $l _ { 4 }$ 
A)  $l _ { 2 }$ 
B)  $l _ { 3 }$ 
C)  $l _ { 1 }$ 
D)  $l _ { 4 }$

Question 7

The graph in the following illustration shows the depths of a submarine at certain times.   What is the sub doing as t increases from 1 to 2?

Accepted Answer

The answer of The graph in the following illustration shows...

Question 8

Graph the function by plotting the points and give its domain and range. $f ( x ) = - | x + 1 |$

Accepted Answer

A)  D= the set of all real numbers less than or equal to 0 R= the set of all real numbers 
B)  D= the set of all real numbers greater than or equal to 1 R= the set of all real numbers less than or equal to 0 
C)  D= the set of all real numbers R= the set of all real numbers less than or equal to 0 
D)  D= the set of all real numbers greater than or equal to 1 R= the set of all real numbers 
E)  D= the set of all real numbers R= the set of all real numbers greater than or equal to 1 
A)  D= the set of all real numbers less than or equal to 0 R= the set of all real numbers 
B)  D= the set of all real numbers greater than or equal to 1 R= the set of all real numbers less than or equal to 0 
C)  D= the set of all real numbers R= the set of all real numbers less than or equal to 0 
D)  D= the set of all real numbers greater than or equal to 1 R= the set of all real numbers 
E)  D= the set of all real numbers R= the set of all real numbers greater than or equal to 1

Question 9

Tiger Woods came back in the final 18 holes of the 2000 AT T Pebble Beach National Pro-Am golf tournament to overtake the leader, Matt Gogel. Refer to the graph below. (In golf, the player with the score that is the farthest under par is the winner.)  
 At the beginning of the final round, by how many strokes did Gogel lead Woods?

Accepted Answer

A)  7 strokes 
B)  8 strokes 
C)  4 strokes 
D)  3 strokes 
E)  2 strokes 
A)  7 strokes 
B)  8 strokes 
C)  4 strokes 
D)  3 strokes 
E)  2 strokes

Question 10

The __________ of a line is the point (a,0) , where the line intersects the x -axis.

Accepted Answer

The answer of The __________ of a line is the...

Question 11

Graph the function by plotting points. $f ( x ) = - x ^ { 2 } - 2$

Accepted Answer

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

Question 12

__________ is defined as the change in y divided by the change in x .

Accepted Answer

The answer of __________ is defined as the change in...

Question 13

Find the grade of a road which descends 506.88 feet over a run of 2.4 miles. ( Hint: 1 mi. = 5,280 ft.)   feet __________%

Accepted Answer

The answer of Find the grade of a road which...

Question 14

Determine whether the equation defines y to be a function of x . $y = 3 - 7 x ^ { 2 }$

Accepted Answer

The answer of Determine whether the equation defines y to...

Question 15

Since 1990, when the average monthly price for basic cable TV programming in one country was $15.81, the cost has risen by about $1.12 a year. Write an equation in slope-intercept form to predict cable TV costs in the future. Use t to represent time in years after 1990 and C to represent the average basic monthly cost.

Accepted Answer

A)  $C = - 15.81 t + 1.12$ 
B)  $C = 1.12 t + 15.81$ 
C)  $C = 15.81 t - 1.12$ 
D)  $C = - 1.12 t + 15.81$ 
E)  $C = 1.12 t - 15.81$ 
A)  $C = - 15.81 t + 1.12$ 
B)  $C = 1.12 t + 15.81$ 
C)  $C = 15.81 t - 1.12$ 
D)  $C = - 1.12 t + 15.81$ 
E)  $C = 1.12 t - 15.81$

Question 16

Find the domain of $f ( x ) = \frac { x + 6 } { x - 8 }$ .

Accepted Answer

A)  the set of all real numbers except x = - 8 
B)  the set of all real numbers except x = - 6 
C)  the set of all real numbers except x = 6 
D)  the set of all real numbers except x = 8 
A)  the set of all real numbers except x = - 8 
B)  the set of all real numbers except x = - 6 
C)  the set of all real numbers except x = 6 
D)  the set of all real numbers except x = 8

Question 17

Match each domain and range of the functions with the corresponding answer. $\begin{array} { l } 
\{ ( - 2,8 ) , ( 4,5 ) , ( 7,8 ) \} \
\{ ( 2,3 ) , ( - 4 , - 5 ) , ( - 7,8 ) \}
\end{array}$
-$\{ 3 , - 5,8 \}$

Accepted Answer

A)  domain of (2) 
B)  domain of (1) 
C)  range of (1) 
D)  range of (2) 
A)  domain of (2) 
B)  domain of (1) 
C)  range of (1) 
D)  range of (2)

Question 18

Give the coordinates of the point E .

Accepted Answer

A)  (0,0) 
B)  (0,-4) 
C)  (4,2) 
D)  (-4,0) 
E)  (4,0) 
A)  (0,0) 
B)  (0,-4) 
C)  (4,2) 
D)  (-4,0) 
E)  (4,0)

Question 19

In which quadrant do points with a positive x -coordinate and a negative y -coordinate lie?

Accepted Answer

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

Question 20

Find $g ( 3 )$ and $g ( 4 )$ . $g ( x ) = 5 x ^ { 2 } - x$

$g ( 3 ) =$ __________ $g ( 4 ) =$ __________

Accepted Answer

The answer of Find $g ( 3 )$ and \(g...

The graph of $f ( x ) = ( x + 3 ) ^ { 3 }$ is the same as the graph of $f ( x ) = x ^ { 3 }$ except that it is shifted units to the .

The graph in the following illustration shows the depths of a submarine at certain times. How large an ascent does the sub begin to make 7 hours after launch? __________ feet

Which one of the following equations defines y as a function of x ?

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. $y = 5 x + 6 , y = 5 x - 7$

Find the slope of the line that passes through the given points, if possible. (- 9, - 2), (- 9, - 6)

Refer to the graph. Which line is vertical?

The graph in the following illustration shows the depths of a submarine at certain times. What is the sub doing as t increases from 1 to 2?

Graph the function by plotting the points and give its domain and range. $f ( x ) = - | x + 1 |$

The __________ of a line is the point (a,0) , where the line intersects the x -axis.

Graph the function by plotting points. $f ( x ) = - x ^ { 2 } - 2$

__________ is defined as the change in y divided by the change in x .

Find the grade of a road which descends 506.88 feet over a run of 2.4 miles. ( Hint: 1 mi. = 5,280 ft.) feet __________%

Determine whether the equation defines y to be a function of x . $y = 3 - 7 x ^ { 2 }$

Find the domain of $f ( x ) = \frac { x + 6 } { x - 8 }$ .

Match each domain and range of the functions with the corresponding answer. \{(-2,8),(4,5),(7,8)\} \{(2,3),(-4,-5),(-7,8)\} - $\{ 3 , - 5,8 \}$

Give the coordinates of the point E .

In which quadrant do points with a positive x -coordinate and a negative y -coordinate lie?

Find $g ( 3 )$ and $g ( 4 )$ . $g ( x ) = 5 x ^ { 2 } - x$ $g ( 3 ) =$ $g ( 4 ) =$

A Review of Basic Algebra

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 2: Graphs, Equations of Lines, and Functions

The graph of f(x)=(x+3)3f ( x ) = ( x + 3 ) ^ { 3 }f(x)=(x+3)3 is the same as the graph of f(x)=x3f ( x ) = x ^ { 3 }f(x)=x3 except that it is shifted __________ units to the __________.

The graph in the following illustration shows the depths of a submarine at certain times. How large an ascent does the sub begin to make 7 hours after launch? __________ feet

Which one of the following equations defines y as a function of x ?

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. y=5x+6,y=5x−7y = 5 x + 6 , y = 5 x - 7y=5x+6,y=5x−7

Find the slope of the line that passes through the given points, if possible. (- 9, - 2), (- 9, - 6)

Refer to the graph. Which line is vertical?

The graph in the following illustration shows the depths of a submarine at certain times. What is the sub doing as t increases from 1 to 2?

Graph the function by plotting the points and give its domain and range. f(x)=−∣x+1∣f ( x ) = - | x + 1 |f(x)=−∣x+1∣

The __________ of a line is the point (a,0) , where the line intersects the x -axis.

Graph the function by plotting points. f(x)=−x2−2f ( x ) = - x ^ { 2 } - 2f(x)=−x2−2

__________ is defined as the change in y divided by the change in x .

Find the grade of a road which descends 506.88 feet over a run of 2.4 miles. ( Hint: 1 mi. = 5,280 ft.) feet __________%

Determine whether the equation defines y to be a function of x . y=3−7x2y = 3 - 7 x ^ { 2 }y=3−7x2

Find the domain of f(x)=x+6x−8f ( x ) = \frac { x + 6 } { x - 8 }f(x)=x−8x+6​ .

Match each domain and range of the functions with the corresponding answer. \{(-2,8),(4,5),(7,8)\} \{(2,3),(-4,-5),(-7,8)\} - {3,−5,8}\{ 3 , - 5,8 \}{3,−5,8}

Give the coordinates of the point E .

In which quadrant do points with a positive x -coordinate and a negative y -coordinate lie?

Find g(3)g ( 3 )g(3) and g(4)g ( 4 )g(4) . g(x)=5x2−xg ( x ) = 5 x ^ { 2 } - xg(x)=5x2−x g(3)=g ( 3 ) =g(3)= __________ g(4)=g ( 4 ) =g(4)= __________

A Review of Basic Algebra

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

The graph of $f ( x ) = ( x + 3 ) ^ { 3 }$ is the same as the graph of $f ( x ) = x ^ { 3 }$ except that it is shifted units to the .

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. $y = 5 x + 6 , y = 5 x - 7$

Graph the function by plotting the points and give its domain and range. $f ( x ) = - | x + 1 |$

Graph the function by plotting points. $f ( x ) = - x ^ { 2 } - 2$

Determine whether the equation defines y to be a function of x . $y = 3 - 7 x ^ { 2 }$

Find the domain of $f ( x ) = \frac { x + 6 } { x - 8 }$ .

Match each domain and range of the functions with the corresponding answer. \{(-2,8),(4,5),(7,8)\} \{(2,3),(-4,-5),(-7,8)\} - $\{ 3 , - 5,8 \}$

Find $g ( 3 )$ and $g ( 4 )$ . $g ( x ) = 5 x ^ { 2 } - x$ $g ( 3 ) =$ $g ( 4 ) =$