Question 1

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

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 $R =$ the set of all real numbers less than or equal to $1$ 
E)  $D =$ the set of all real numbers greater than or equal to $1$ $R =$ the set of all real numbers 
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 $R =$ the set of all real numbers less than or equal to $1$ 
E)  $D =$ the set of all real numbers greater than or equal to $1$ $R =$ the set of all real numbers

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

Question 3

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 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

A)  $f ( x ) = \frac { 1 } { 2 } x - 4$ 
B)  $f ( x ) = 2 x - 8$ 
C)  $f ( x ) = - \frac { 1 } { 2 } x + 4$ 
D)  $f ( x ) = - \frac { 1 } { 2 } x$ 
A)  $f ( x ) = \frac { 1 } { 2 } x - 4$ 
B)  $f ( x ) = 2 x - 8$ 
C)  $f ( x ) = - \frac { 1 } { 2 } x + 4$ 
D)  $f ( x ) = - \frac { 1 } { 2 } x$

Question 6

Which one of the following is a true statement?

Accepted Answer

A)  $\left( - \frac { 2 } { 3 } , 3 \right)$ is a solution of $3 x - 2 y = 4$ . 
B)  $\left( \frac { 2 } { 3 } , 1 \right)$ is a solution of $3 x - 2 y = 4$ . 
C)  $\left( \frac { 4 } { 3 } , \frac { 1 } { 2 } \right)$ is a solution of $3 x - 2 y = 4$ . 
D)  $\left( - \frac { 2 } { 3 } , - 3 \right)$ is a solution of $3 x - 2 y = 4$ . 
A)  $\left( - \frac { 2 } { 3 } , 3 \right)$ is a solution of $3 x - 2 y = 4$ . 
B)  $\left( \frac { 2 } { 3 } , 1 \right)$ is a solution of $3 x - 2 y = 4$ . 
C)  $\left( \frac { 4 } { 3 } , \frac { 1 } { 2 } \right)$ is a solution of $3 x - 2 y = 4$ . 
D)  $\left( - \frac { 2 } { 3 } , - 3 \right)$ is a solution of $3 x - 2 y = 4$ .

Question 7

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

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 8

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

Accepted Answer

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

Question 9

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 10

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

Question 11

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

Accepted Answer

A)  5 
B)  $- \frac { 1 } { 5 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  -5 
E)  undefined 
A)  5 
B)  $- \frac { 1 } { 5 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  -5 
E)  undefined

Question 12

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 13

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 14

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

Accepted Answer

A)   $\left( \frac { 1 } { 2 } , - 2 \right)$ 
B)  $\left( \frac { 1 } { 3 } , 2 \right)$ 
C)  $\left( 2 , - \frac { 1 } { 2 } \right)$ 
D)  (-4,2) 
E)  $\left( - \frac { 1 } { 2 } , 2 \right)$ 
A)   $\left( \frac { 1 } { 2 } , - 2 \right)$ 
B)  $\left( \frac { 1 } { 3 } , 2 \right)$ 
C)  $\left( 2 , - \frac { 1 } { 2 } \right)$ 
D)  (-4,2) 
E)  $\left( - \frac { 1 } { 2 } , 2 \right)$

Question 15

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 16

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 17

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

Accepted Answer

A)  $\left( 1 , \frac { 5 } { 4 } \right)$ 
B)  (-4,6) 
C)  $\left( - 1 , \frac { 19 } { 4 } \right)$ 
D)  $\left( - \frac { 1 } { 2 } , \frac { 41 } { 8 } \right)$ 
A)  $\left( 1 , \frac { 5 } { 4 } \right)$ 
B)  (-4,6) 
C)  $\left( - 1 , \frac { 19 } { 4 } \right)$ 
D)  $\left( - \frac { 1 } { 2 } , \frac { 41 } { 8 } \right)$

Question 18

Refer to the graph.   Which line is horizontal?

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 19

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 20

The graph of $3 y - 8 = 7$ 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) . 
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) .

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

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

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 .

Give the coordinates of point H. ( , )

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

Which one of the following is a true statement?

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

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

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 .

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

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

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.

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

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

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)

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 .

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

Refer to the graph. Which line is horizontal?

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

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

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

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

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

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 __________.

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

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

Which one of the following is a true statement?

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

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

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 . __________

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

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

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

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)

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)

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 __________.

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

Refer to the graph. Which line is horizontal?

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

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

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

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

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 .

Give the coordinates of point H. ( , )

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

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 .

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

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 .

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

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