Question 1

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 -axisE) A) and D)
F) None of the above

Question 2

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​xE) A) and D)
F) A) and C)

Question 3

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 4

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 F) A) and B)
G) A) and C)

Question 5

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 F) A) and D)
G) A) and C)

Question 6

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 7

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 8

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 9

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)  . E) A) and B)
F) A) and C)

Question 10

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​E) A) and D)
F) B) and C)

Question 11

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  . E) A) and B)
F) A) and C)

Question 12

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) F) A) and D)
G) D) and E)

Question 13

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

Accepted Answer

A)   Quadrant IV
B)   Quadrant I
C)   Quadrant III
D)   Quadrant IIE) A) and D)
F) B) and C)

Question 14

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 15

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 16

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)   undefinedF) A) and C)
G) D) and E)

Question 17

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​) E) B) and C)
F) All of the above

Question 18

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

Accepted Answer

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

Question 19

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 20

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​E) A) and B)
F) A) and C)

Exam 2: Graphs, Equations of Lines, and Functions

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

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

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

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

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Refer to the graph. Which line is horizontal?

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

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

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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

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

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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 AnswerverifiedShow Answer

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

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

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

Correct AnswerverifiedShow Answer

Which one of the following is a true statement?

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)

Correct AnswerverifiedShow Answer

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

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

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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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Give the coordinates of point H. ( , )

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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?

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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?

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

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

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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 .

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

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

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