Question 1

Find the equation of the line in point-slope form, then write the equation in function form.
m = 2; P1 = (-7, -9)

Accepted Answer

y + 9 = 2(

Question 2

State the domain and range of the relation.
{(5, 8), (6, 9), (7, 10), (8, 11)}

Accepted Answer

Domain = {

Question 3

Determine whether the mapping represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.

Accepted Answer

A)  Function. 
B)  Not a function. Amy is paired with two parents. 
C)  Not a function. Two children are paired with Bob. 
D)  Not a function. Some parents are paired with only one child. 
A)  Function. 
B)  Not a function. Amy is paired with two parents. 
C)  Not a function. Two children are paired with Bob. 
D)  Not a function. Some parents are paired with only one child.

Question 4

Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 5y - 3x = 3
3y + 5x = 4

Accepted Answer

A)  Parallel 
B)  Perpendicular 
C)  Neither 
A)  Parallel 
B)  Perpendicular 
C)  Neither

Question 5

Use the following to answer questions :
f(x) =   and g(x) =  
-Find the difference of f and g.

Accepted Answer

A)  (f - g)(x) =   
B)  (f - g)(x) =   
C)  (f - g)(x) =   
D)  (f - g)(x) =   
A)  (f - g)(x) =   
B)  (f - g)(x) =   
C)  (f - g)(x) =   
D)  (f - g)(x) =

Question 6

Use the following to answer questions :
4x - 10y = 20
-Identify the slope and y-intercept.

Accepted Answer

slope = @#IMG-DLM& ;

Question 7

Use vertical and horizontal boundary lines to help state the domain and range of the function given.     (Gridlines are spaced one unit apart.)

Accepted Answer

A)  x $\in$ [-5, 4], y $\in$ (-?, 3] 
B)  x $\in$ [-5, 4], y $\in$ (-2, 3] 
C)  x $\in$ (-?, 4], y $\in$ (-?, 3] 
D)  x $\in$ (-?, 4], y $\in$ [-2, 3] 
A)  x $\in$ [-5, 4], y $\in$ (-?, 3] 
B)  x $\in$ [-5, 4], y $\in$ (-2, 3] 
C)  x $\in$ (-?, 4], y $\in$ (-?, 3] 
D)  x $\in$ (-?, 4], y $\in$ [-2, 3]

Question 8

Graph by plotting points or using the intercept method. Choose inputs that will help simplify the calculation.
3x + 5y = -6

Accepted Answer

The answer of Graph by plotting points or using the...

Question 9

Use the following to answer questions :  
-Evaluate f(7).

Accepted Answer

A)  7 
B)  9 
C)  8 
D)  -2 
A)  7 
B)  9 
C)  8 
D)  -2

Question 10

Use the following to answer questions :
f(x) = 2xS1U1P12S1S1P0 + 4x + 5 and g(x) = 5xS1U1P12S1S1P0 - 3x
-Find h(x) = f(x) + g(x).

Accepted Answer

A)  h(x) = 8x2 + x + 5 
B)  h(x) = 8x2 - 2x + 5 
C)  h(x) = 8x2 - 2x + 8 
D)  h(x) = 3x2 + 3x + 8 
A)  h(x) = 8x2 + x + 5 
B)  h(x) = 8x2 - 2x + 5 
C)  h(x) = 8x2 - 2x + 8 
D)  h(x) = 3x2 + 3x + 8

Question 11

Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.)
-Find   (-2).

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  3 
A)  0 
B)  1 
C)  2 
D)  3

Question 12

Use the following to answer questions :
A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee.
-Determine the domain and range of the function in this context, if your budget limits you to paying a maximum of $210 for the rental.

Accepted Answer

t @#LAT-DLM& [0, 13]

Question 13

Use the following to answer questions :  
-Evaluate f(2).

Accepted Answer

A)  2 
B)  10 
C)  3 
D)  -3 
A)  2 
B)  10 
C)  3 
D)  -3

Question 14

Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 7y - 4x = -7
-4x + 7y = 16

Accepted Answer

A)  Parallel 
B)  Perpendicular 
C)  Neither 
A)  Parallel 
B)  Perpendicular 
C)  Neither

Question 15

Use the following to answer questions :
f(x) =   and g(x) =  
-Determine the domain of the difference of f and g.

Accepted Answer

A)  x $\in$ (-5, 2) 
B)  x $\in$ (-?, -5) $\cup$  (2, ?) 
C)  x $\in$ (-?, -5) $\cup$  (-5, 2) $\cup$  (2, ?) 
D)  x $\in$ (-?, ?) 
A)  x $\in$ (-5, 2) 
B)  x $\in$ (-?, -5) $\cup$  (2, ?) 
C)  x $\in$ (-?, -5) $\cup$  (-5, 2) $\cup$  (2, ?) 
D)  x $\in$ (-?, ?)

Question 16

Use the following to answer questions :
A cubic graph is shown. Assume required features have integer values.
f(x) = xS1U1P13S1S1P0 + 3xS1U1P12S1S1P0 - x - 3   (Gridlines are spaced one unit apart.)
-Determine the domain and range.

Accepted Answer

x @#LAT-DLM& (-?, ?)

Question 17

Use the following to answer questions :
A quadratic graph is shown. Assume required features have integer values.
f(x) = xS1U1P12S1S1P0 + 2x - 3   (Gridlines are spaced one unit apart.)
-Identify the vertex.

Accepted Answer

A)  (4, 1) 
B)  (-4, -1) 
C)  (1, 4) 
D)  (-1, -4) 
A)  (4, 1) 
B)  (-4, -1) 
C)  (1, 4) 
D)  (-1, -4)

Question 18

Use the following to answer questions :
f(x) = 5x + 8 and g(x) = x - 6
-Determine the domain of the sum of f and g.

Accepted Answer

The answer of Use the following to answer questions :
f(x)...

Question 19

Use the following to answer questions :
A business purchases a copier for $9500 and anticipates it will depreciate in value $850 per year.
-How many years will it take for the copier's value to decrease to $4350?

Accepted Answer

The answer of Use the following to answer questions :
A...

Question 20

A phone service charges 3.1 cents per minute for the first 30 minutes and 6 cents per minute thereafter.
(a) Write this information in the form of a simplified piecewise-defined
function and state the effective domain for each piece.
(b) Sketch the graph.
(c) Find the cost of a 48-minute phone call.

Accepted Answer

(a) @#IMG-DLM& (b) @#IMG-DLM&

Find the equation of the line in point-slope form, then write the equation in function form. m = 2; P₁ = (-7, -9)

State the domain and range of the relation. {(5, 8), (6, 9), (7, 10), (8, 11)}

Determine whether the mapping represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.

Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 5y - 3x = 3 3y + 5x = 4

Use the following to answer questions : f(x) = and g(x) = -Find the difference of f and g.

Use the following to answer questions : 4x - 10y = 20 -Identify the slope and y-intercept.

Use vertical and horizontal boundary lines to help state the domain and range of the function given. (Gridlines are spaced one unit apart.)

Graph by plotting points or using the intercept method. Choose inputs that will help simplify the calculation. 3x + 5y = -6

Use the following to answer questions : -Evaluate f(7).

Use the following to answer questions : f(x) = 2x² + 4x + 5 and g(x) = 5x² - 3x -Find h(x) = f(x) + g(x).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (-2).

Use the following to answer questions : -Evaluate f(2).

Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 7y - 4x = -7 -4x + 7y = 16

Use the following to answer questions : f(x) = and g(x) = -Determine the domain of the difference of f and g.

Use the following to answer questions : A cubic graph is shown. Assume required features have integer values. f(x) = x³ + 3x² - x - 3 (Gridlines are spaced one unit apart.) -Determine the domain and range.

Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x² + 2x - 3 (Gridlines are spaced one unit apart.) -Identify the vertex.

Use the following to answer questions : f(x) = 5x + 8 and g(x) = x - 6 -Determine the domain of the sum of f and g.

Use the following to answer questions : A business purchases a copier for $9500 and anticipates it will depreciate in value $850 per year. -How many years will it take for the copier's value to decrease to $4350?

A phone service charges 3.1 cents per minute for the first 30 minutes and 6 cents per minute thereafter. (a) Write this information in the form of a simplified piecewise-defined function and state the effective domain for each piece. (b) Sketch the graph. (c) Find the cost of a 48-minute phone call.

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 2: Relations, Functions and Graphs

Find the equation of the line in point-slope form, then write the equation in function form. m = 2; P1 = (-7, -9)

State the domain and range of the relation. {(5, 8), (6, 9), (7, 10), (8, 11)}

Determine whether the mapping represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.

Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 5y - 3x = 3 3y + 5x = 4

Use the following to answer questions : f(x) = and g(x) = -Find the difference of f and g.

Use the following to answer questions : 4x - 10y = 20 -Identify the slope and y-intercept.

Use vertical and horizontal boundary lines to help state the domain and range of the function given. (Gridlines are spaced one unit apart.)

Graph by plotting points or using the intercept method. Choose inputs that will help simplify the calculation. 3x + 5y = -6

Use the following to answer questions : -Evaluate f(7).

Use the following to answer questions : f(x) = 2x2 + 4x + 5 and g(x) = 5x2 - 3x -Find h(x) = f(x) + g(x).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (-2).

Use the following to answer questions : -Evaluate f(2).

Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 7y - 4x = -7 -4x + 7y = 16

Use the following to answer questions : f(x) = and g(x) = -Determine the domain of the difference of f and g.

Use the following to answer questions : A cubic graph is shown. Assume required features have integer values. f(x) = x3 + 3x2 - x - 3 (Gridlines are spaced one unit apart.) -Determine the domain and range.

Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x2 + 2x - 3 (Gridlines are spaced one unit apart.) -Identify the vertex.

Use the following to answer questions : f(x) = 5x + 8 and g(x) = x - 6 -Determine the domain of the sum of f and g.

Use the following to answer questions : A business purchases a copier for $9500 and anticipates it will depreciate in value $850 per year. -How many years will it take for the copier's value to decrease to $4350?

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Find the equation of the line in point-slope form, then write the equation in function form. m = 2; P₁ = (-7, -9)

Use the following to answer questions : f(x) = 2x² + 4x + 5 and g(x) = 5x² - 3x -Find h(x) = f(x) + g(x).

Use the following to answer questions : A cubic graph is shown. Assume required features have integer values. f(x) = x³ + 3x² - x - 3 (Gridlines are spaced one unit apart.) -Determine the domain and range.

Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x² + 2x - 3 (Gridlines are spaced one unit apart.) -Identify the vertex.