Question 1

The graph of $f ( x ) = x ^ { 3 } - 11$ is the same as the graph of $f ( x ) = x ^ { 3 }$ except that it is shifted __________ units __________.

Accepted Answer

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

Question 2

Find the slope of the line that passes through the given points, if possible. (0, 0) , (3, 9)

Accepted Answer

A)   - 3
B)   - 4
C)   3
D)   4
E)   undefined

Question 3

The graph of $f ( x ) = | x - 5 |$ is the same as the graph of $f ( x ) = | x |$ except that it is shifted __________ units to the __________.

Accepted Answer

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

Question 4

Give the coordinates of point H.     (________ , ________)

Accepted Answer

The answer of Give the coordinates of point H. ...

Question 5

Consider the graph of $f ( x ) = \left\{ \begin{array} { l } 
- 4 \text { for } | x | \geq 3 \
x ^ { 2 } \text { for } - 3 < x < 3
\end{array} \right.$ . If the 4 were replaced with another constant, determine what constant would be needed in order to make the pieces of the graph connect.

Accepted Answer

The answer of Consider the graph of \(f ( x...

Question 6

Find the slope of the line that passes through the given points, if possible. (5, - 1) , (- 5, 1)

Accepted Answer

A)   5
B)    −15- \frac { 1 } { 5 }−51​ 
C)    15\frac { 1 } { 5 }51​ 
D)   -5
E)   undefined

Question 7

Determine whether the relation defines y to be a function of x .

__________ If it does not, indicate all values of x that are assigned more than one value of y . __________

Accepted Answer

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

Question 8

Plot (-2,0)  on a rectangular coordinate system and name the quadrant or axis in which it lies.

Accepted Answer

A)    y -axis
B)    x -axis
C)    y -axis
D)    x -axis

Question 9

Write an equation in slope-intercept form of the line with the given properties. slope -7 , passes through (7,4)

Accepted Answer

The answer of Write an equation in slope-intercept form of...

Question 10

Write an equation for a linear function that whose graph has slope  −12- \frac { 1 } { 2 }−21​  and y -intercept (0,4)  .

Accepted Answer

A)    f(x) =12x−4f ( x )  = \frac { 1 } { 2 } x - 4f(x) =21​x−4 
B)    f(x) =2x−8f ( x )  = 2 x - 8f(x) =2x−8 
C)    f(x) =−12x+4f ( x )  = - \frac { 1 } { 2 } x + 4f(x) =−21​x+4 
D)    f(x) =−12xf ( x )  = - \frac { 1 } { 2 } xf(x) =−21​x

Question 11

Find the midpoint of line segment PQ .  P(−4,−2) ,Q(3,6) P ( - 4 , - 2 )  , Q ( 3,6 ) P(−4,−2) ,Q(3,6)

Accepted Answer

A)     (12,−2) \left( \frac { 1 } { 2 } , - 2 \right) (21​,−2)  
B)    (13,2) \left( \frac { 1 } { 3 } , 2 \right) (31​,2)  
C)    (2,−12) \left( 2 , - \frac { 1 } { 2 } \right) (2,−21​)  
D)   (-4,2) 
E)    (−12,2) \left( - \frac { 1 } { 2 } , 2 \right) (−21​,2)

Question 12

The graph of  3y−8=73 y - 8 = 73y−8=7  is

Accepted Answer

A)   the point (0,5)  .
B)   a vertical line that passes through the point (0,5)  .
C)   a horizontal line that passes through the point (0,15) .
D)   a horizontal line that passes through the point (0,5)  .

Question 13

Determine whether the line that passes through the two given points is parallel or perpendicular (or neither ) to a line with a slope of - 2. (2, 4), (3, 6)

Accepted Answer

The answer of Determine whether the line that passes through...

Question 14

Which of the following ordered pairs is a solution of  y=14x+5y = \frac { 1 } { 4 } x + 5y=41​x+5  ?

Accepted Answer

A)    (1,54) \left( 1 , \frac { 5 } { 4 } \right) (1,45​)  
B)   (-4,6) 
C)    (−1,194) \left( - 1 , \frac { 19 } { 4 } \right) (−1,419​)  
D)    (−12,418) \left( - \frac { 1 } { 2 } , \frac { 41 } { 8 } \right) (−21​,841​)

Question 15

The set of all first components of the ordered pairs is called the _________ of the function.

Accepted Answer

The answer of The set of all first components of...

Question 16

Which one of the following is a true statement?

Accepted Answer

A)    (−23,3) \left( - \frac { 2 } { 3 } , 3 \right) (−32​,3)   is a solution of  3x−2y=43 x - 2 y = 43x−2y=4  .
B)    (23,1) \left( \frac { 2 } { 3 } , 1 \right) (32​,1)   is a solution of  3x−2y=43 x - 2 y = 43x−2y=4  .
C)    (43,12) \left( \frac { 4 } { 3 } , \frac { 1 } { 2 } \right) (34​,21​)   is a solution of  3x−2y=43 x - 2 y = 43x−2y=4  .
D)    (−23,−3) \left( - \frac { 2 } { 3 } , - 3 \right) (−32​,−3)   is a solution of  3x−2y=43 x - 2 y = 43x−2y=4  .

Question 17

Refer to the graph.  Which line has a negative slope?

Accepted Answer

A)    l2l _ { 2 }l2​ 
B)    l3l _ { 3 }l3​ 
C)    l1l _ { 1 }l1​ 
D)    l4l _ { 4 }l4​

Question 18

Refer to the graph.  Which line is horizontal?

Accepted Answer

A)    l2l _ { 2 }l2​ 
B)    l3l _ { 3 }l3​ 
C)    l1l _ { 1 }l1​ 
D)    l4l _ { 4 }l4​

Question 19

In which quadrant is the point (-2,-3)  located?

Accepted Answer

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

Question 20

Graph the function by plotting the points and give its domain and range.  f(x) =−x2+1f ( x )  = - x ^ { 2 } + 1f(x) =−x2+1

Accepted Answer

A)   D= the set of all real numbers less than or equal to 1 R= the set of all real numbers
B)   D=  the set of all real numbers R= the set of all real numbers greater than or equal to 1
C)   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 1
D)   D=  the set of all real numbers  R=R =R=  the set of all real numbers less than or equal to  111 
E)    D=D =D=  the set of all real numbers greater than or equal to  111   R=R =R=  the set of all real numbers

Exam 2: Graphs, Equations of Lines, and Functions

Give the coordinates of point H. (________ , ________)

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Graph the function by plotting the points and give its domain and range. f(x) =−x2+1f ( x ) = - x ^ { 2 } + 1f(x) =−x2+1

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In which quadrant is the point (-2,-3) located?

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The graph of f(x)=∣x−5∣f ( x ) = | x - 5 |f(x)=∣x−5∣ is the same as the graph of f(x)=∣x∣f ( x ) = | x |f(x)=∣x∣ except that it is shifted __________ units to the __________.

Correct AnswerverifiedShow Answer

Find the slope of the line that passes through the given points, if possible. (5, - 1) , (- 5, 1)

Correct AnswerverifiedShow Answer

Plot (-2,0) on a rectangular coordinate system and name the quadrant or axis in which it lies.

Correct AnswerverifiedShow Answer

Determine whether the line that passes through the two given points is parallel or perpendicular (or neither ) to a line with a slope of - 2. (2, 4), (3, 6)

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Refer to the graph. Which line is horizontal?

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Which of the following ordered pairs is a solution of y=14x+5y = \frac { 1 } { 4 } x + 5y=41​x+5 ?

Correct AnswerverifiedShow Answer

Determine whether the relation defines y to be a function of x . __________ If it does not, indicate all values of x that are assigned more than one value of y . __________

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Find the midpoint of line segment PQ . P(−4,−2) ,Q(3,6) P ( - 4 , - 2 ) , Q ( 3,6 ) P(−4,−2) ,Q(3,6)

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Correct AnswerverifiedShow Answer

Refer to the graph. Which line has a negative slope?

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Which one of the following is a true statement?

Correct AnswerverifiedShow Answer

Find the slope of the line that passes through the given points, if possible. (0, 0) , (3, 9)

Correct AnswerverifiedShow Answer

Write an equation for a linear function that whose graph has slope −12- \frac { 1 } { 2 }−21​ and y -intercept (0,4) .

Correct AnswerverifiedShow Answer

Write an equation in slope-intercept form of the line with the given properties. slope -7 , passes through (7,4)

Correct AnswerverifiedShow Answer

The graph of f(x)=x3−11f ( x ) = x ^ { 3 } - 11f(x)=x3−11 is the same as the graph of f(x)=x3f ( x ) = x ^ { 3 }f(x)=x3 except that it is shifted __________ units __________.

Correct AnswerverifiedShow Answer

The graph of 3y−8=73 y - 8 = 73y−8=7 is

Correct AnswerverifiedShow Answer

The set of all first components of the ordered pairs is called the _________ of the function.

Correct AnswerverifiedShow Answer

Give the coordinates of point H. ( , )

Correct Answer
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Graph the function by plotting the points and give its domain and range. $f ( x ) = - x ^ { 2 } + 1$

Correct Answer
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Correct Answer
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The graph of $f ( x ) = | x - 5 |$ is the same as the graph of $f ( x ) = | x |$ except that it is shifted units to the .

Correct Answer
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Refer to the graph. $Refer to the graph. Which line is horizontal? A) l _ { 2 } B) l _ { 3 } C) l _ { 1 } D) l _ { 4 }$ Which line is horizontal?

Correct Answer
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Which of the following ordered pairs is a solution of $y = \frac { 1 } { 4 } x + 5$ ?

Correct Answer
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Determine whether the relation defines y to be a function of x . If it does not, indicate all values of x that are assigned more than one value of y .

Correct Answer
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Find the midpoint of line segment PQ . $P ( - 4 , - 2 ) , Q ( 3,6 )$

Correct Answer
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Correct Answer
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Refer to the graph. $Refer to the graph. Which line has a negative slope? A) l _ { 2 } B) l _ { 3 } C) l _ { 1 } D) l _ { 4 }$ Which line has a negative slope?

Correct Answer
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Write an equation for a linear function that whose graph has slope $- \frac { 1 } { 2 }$ and y -intercept (0,4) .

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The graph of $f ( x ) = x ^ { 3 } - 11$ is the same as the graph of $f ( x ) = x ^ { 3 }$ except that it is shifted units .

Correct Answer
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The graph of $3 y - 8 = 7$ is

Correct Answer
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