Question 1

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

Accepted Answer

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

Question 2

Find the slope of the line that passes through the given points, if possible. (9, 5), (- 7, 5)

Accepted Answer

The answer of Find the slope of the line that...

Question 3

Determine whether the equation defines y to be a function of x . $y = 2 x + 3$

Accepted Answer

A) True 
 B)False

Question 4

Use the point-slope form to write an equation of the line with the given properties. slope 2; passes through (0,5)

Accepted Answer

A)  $y - 5 = 2 x$ 
B)  $2 y - 5 = x$ 
C)  $y + 5 = 2 x$ 
D)  $y = 2 x - 5$ 
E)  $y = 5 x + 2$ 
A)  $y - 5 = 2 x$ 
B)  $2 y - 5 = x$ 
C)  $y + 5 = 2 x$ 
D)  $y = 2 x - 5$ 
E)  $y = 5 x + 2$

Question 5

Determine whether the lines are parallel, perpendicular, or neither. A line passing through $( 5,3 ) \text { and } ( 8,4 )$ A line passing through $( - 1 , - 7 ) \text { and } ( 0 , - 4 )$

Accepted Answer

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

Question 6

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. $2 x + 6 y = 1 , y = \frac { 1 } { 3 } x$

Accepted Answer

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

Question 7

Graph: $7 x + 2 = 3 y$ . Give the slope and y -intercept.

Accepted Answer

@#IMG-DLM&  
Slope:

Question 8

For the function, first sketch the graph of its associated function, $g ( x ) = x ^ { 3 }$ . Then draw the graph using a reflection. $f ( x ) = - x ^ { 3 }$

Accepted Answer

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

Question 9

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

Accepted Answer

A) True 
 B)False

Question 10

Determine whether the equation defines y to be a function of x . $y = 3 - 4 x ^ { 2 }$

Accepted Answer

A) True 
 B)False

Question 11

Write $3 x - 7 y = 8$  in slope-intercept form.

Accepted Answer

A)  $y = \frac { 3 } { 7 } x - \frac { 8 } { 7 }$ 
B)  $- 7 y = - 3 x + 8$ 
C)  $y = - \frac { 3 } { 7 } x - \frac { 8 } { 7 }$ 
D)  $y = \frac { 3 } { 7 } x - 8$ 
A)  $y = \frac { 3 } { 7 } x - \frac { 8 } { 7 }$ 
B)  $- 7 y = - 3 x + 8$ 
C)  $y = - \frac { 3 } { 7 } x - \frac { 8 } { 7 }$ 
D)  $y = \frac { 3 } { 7 } x - 8$

Question 12

Graph $f ( x ) = | x + 2 | - 2$ . Give the domain and range from the graph.

Accepted Answer

@#IMG-DLM& Domain: all real nu

Question 13

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph. ( ________,________ )

Accepted Answer

The answer of Consider the linear equation \(6 x -...

Question 14

The point (0, 0) is the __________.

Accepted Answer

The answer of The point (0, 0) is the __________....

Question 15

The graph of any equation of the form $x = a$ is a __________ line. The graph of any equation of the form $y = b$ is a __________ line.

Accepted Answer

The answer of The graph of any equation of the...

Question 16

Graph the equation using the intercept method. Label the intercepts on the graph. $2 y = 4 x - 6$

Accepted Answer

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

Question 17

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

Accepted Answer

A)  up 
B)  to the right 
C)  to the left 
D)  down 
A)  up 
B)  to the right 
C)  to the left 
D)  down

Question 18

Refer to the graph to find the values of x for which $h ( x ) = 4$ . 
  
11ec0338_3f82_5294_a27b_a930c14c34e0_TBX8969_x= __________

Accepted Answer

The answer of Refer to the graph to find the...

Question 19

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 left.

Accepted Answer

A)  3 
B)  1 
C)  6 
D)  7 
E)  4 
A)  3 
B)  1 
C)  6 
D)  7 
E)  4

Question 20

For the line $A x - B y = C$ , let a and b represent the x -intercept and y -intercept respectively. What are the values of a and b ?

Accepted Answer

The answer of For the line \(A x - B...

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

Find the slope of the line that passes through the given points, if possible. (9, 5), (- 7, 5)

Determine whether the equation defines y to be a function of x . $y = 2 x + 3$

Use the point-slope form to write an equation of the line with the given properties. slope 2; passes through (0,5)

Determine whether the lines are parallel, perpendicular, or neither. A line passing through $( 5,3 ) \text { and } ( 8,4 )$ A line passing through $( - 1 , - 7 ) \text { and } ( 0 , - 4 )$

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. $2 x + 6 y = 1 , y = \frac { 1 } { 3 } x$

Graph: $7 x + 2 = 3 y$ . Give the slope and y -intercept.

For the function, first sketch the graph of its associated function, $g ( x ) = x ^ { 3 }$ . Then draw the graph using a reflection. $f ( x ) = - x ^ { 3 }$

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

Determine whether the equation defines y to be a function of x . $y = 3 - 4 x ^ { 2 }$

Write $3 x - 7 y = 8$ in slope-intercept form.

Graph $f ( x ) = | x + 2 | - 2$ . Give the domain and range from the graph.

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph. ( , )

The point (0, 0) is the __________.

The graph of any equation of the form $x = a$ is a line. The graph of any equation of the form $y = b$ is a line.

Graph the equation using the intercept method. Label the intercepts on the graph. $2 y = 4 x - 6$

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

Refer to the graph to find the values of x for which $h ( x ) = 4$ . 11ec0338_3f82_5294_a27b_a930c14c34e0_TBX8969_x= __________

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 left.

For the line $A x - B y = C$ , let a and b represent the x -intercept and y -intercept respectively. What are the values of a and b ?

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

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

Find the slope of the line that passes through the given points, if possible. (9, 5), (- 7, 5)

Determine whether the equation defines y to be a function of x . y=2x+3y = 2 x + 3y=2x+3

Use the point-slope form to write an equation of the line with the given properties. slope 2; passes through (0,5)

Determine whether the lines are parallel, perpendicular, or neither. A line passing through (5,3) and (8,4)( 5,3 ) \text { and } ( 8,4 )(5,3) and (8,4) A line passing through (−1,−7) and (0,−4)( - 1 , - 7 ) \text { and } ( 0 , - 4 )(−1,−7) and (0,−4)

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. 2x+6y=1,y=13x2 x + 6 y = 1 , y = \frac { 1 } { 3 } x2x+6y=1,y=31​x

Graph: 7x+2=3y7 x + 2 = 3 y7x+2=3y . Give the slope and y -intercept.

For the function, first sketch the graph of its associated function, g(x)=x3g ( x ) = x ^ { 3 }g(x)=x3 . Then draw the graph using a reflection. f(x)=−x3f ( x ) = - x ^ { 3 }f(x)=−x3

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

Determine whether the equation defines y to be a function of x . y=3−4x2y = 3 - 4 x ^ { 2 }y=3−4x2

Write 3x−7y=83 x - 7 y = 83x−7y=8 in slope-intercept form.

Graph f(x)=∣x+2∣−2f ( x ) = | x + 2 | - 2f(x)=∣x+2∣−2 . Give the domain and range from the graph.

Consider the linear equation 6x−10y=−306 x - 10 y = - 306x−10y=−30 . Find the x -intercept of its graph. ( ________,________ )

The point (0, 0) is the __________.

The graph of any equation of the form x=ax = ax=a is a __________ line. The graph of any equation of the form y=by = by=b is a __________ line.

Graph the equation using the intercept method. Label the intercepts on the graph. 2y=4x−62 y = 4 x - 62y=4x−6

The graph of f(x)=∣x+3∣f ( x ) = | x + 3 |f(x)=∣x+3∣ is the same as the graph of f(x)=∣x∣f ( x ) = | x |f(x)=∣x∣ except that it is shifted 3 units __________.

Refer to the graph to find the values of x for which h(x)=4h ( x ) = 4h(x)=4 . 11ec0338_3f82_5294_a27b_a930c14c34e0_TBX8969_x= __________

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 left.

For the line Ax−By=CA x - B y = CAx−By=C , let a and b represent the x -intercept and y -intercept respectively. What are the values of a and b ?

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

Determine whether the equation defines y to be a function of x . $y = 2 x + 3$

Determine whether the lines are parallel, perpendicular, or neither. A line passing through $( 5,3 ) \text { and } ( 8,4 )$ A line passing through $( - 1 , - 7 ) \text { and } ( 0 , - 4 )$

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. $2 x + 6 y = 1 , y = \frac { 1 } { 3 } x$

Graph: $7 x + 2 = 3 y$ . Give the slope and y -intercept.

For the function, first sketch the graph of its associated function, $g ( x ) = x ^ { 3 }$ . Then draw the graph using a reflection. $f ( x ) = - x ^ { 3 }$

Determine whether the equation defines y to be a function of x . $y = 3 - 4 x ^ { 2 }$

Write $3 x - 7 y = 8$ in slope-intercept form.

Graph $f ( x ) = | x + 2 | - 2$ . Give the domain and range from the graph.

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph. ( , )

The graph of any equation of the form $x = a$ is a line. The graph of any equation of the form $y = b$ is a line.

Graph the equation using the intercept method. Label the intercepts on the graph. $2 y = 4 x - 6$

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

Refer to the graph to find the values of x for which $h ( x ) = 4$ . 11ec0338_3f82_5294_a27b_a930c14c34e0_TBX8969_x= __________

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 left.

For the line $A x - B y = C$ , let a and b represent the x -intercept and y -intercept respectively. What are the values of a and b ?