Question 1

Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance 9 from P(3, 4).

Accepted Answer

A) ( - 3.90, - 1.95 ) 
B) ( - 4.00, - 1.90 ) 
C) ( - 3.70, - 1.85 ) 
D) ( - 4.00, - 7.99 ) 
E) ( - 3.80, - 1.90 ) 
A) ( - 3.90, - 1.95 ) 
B) ( - 4.00, - 1.90 ) 
C) ( - 3.70, - 1.85 ) 
D) ( - 4.00, - 7.99 ) 
E) ( - 3.80, - 1.90 )

Question 2

Find     ,

Accepted Answer

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

Question 3

Express the function   in the form of

Accepted Answer

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

Question 4

Find the distance d (A, B) between the points A (6, 6) and B (6, - 4).

Accepted Answer

A) 6 
B) 0 
C) 10 
D) 4 
A) 6 
B) 0 
C) 10 
D) 4

Question 5

A college student receives an interest-free loan of $8,570 from a relative. The student will repay $170 per month until the loan is paid off. After how many months will the student owe $5,000?

Accepted Answer

A) after 4.2 months. 
B) after 21 months. 
C) after 31 months. 
D) after 29 months. 
E) after 24 months. 
A) after 4.2 months. 
B) after 21 months. 
C) after 31 months. 
D) after 29 months. 
E) after 24 months.

Question 6

Find the graph of the line through   for the value of   =

Accepted Answer

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

Question 7

Find     and

Accepted Answer

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

Question 8

Consider the following equations and their graph. Express, in interval form, the x-values such that Y 1  > Y 2  . Assume that the x- and y-values of each point of intersection are integers.

Accepted Answer

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

Question 9

Express the function   in the form of

Accepted Answer

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

Question 10

Sketch the graph of the function.

Accepted Answer

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

Question 11

Find

Accepted Answer

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

Question 12

Find     and

Accepted Answer

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

Question 13

Find     and

Accepted Answer

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

Question 14

Find the domain of

Accepted Answer

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

Question 15

Simplify the difference quotient   for

Accepted Answer

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

Question 16

In exercise physiology, aerobic power P is defined in terms of maximum oxygen intake. For altitudes up to 1,800 meters, aerobic power is optimal-that is, 100%. Beyond 1,800 meters, P decreases linearly from the maximum of 100% to a value near 40% at 5,000 meters. Estimate aerobic power at the altitude of 2,400 meters.

Accepted Answer

A) 72.5% 
B) 93.8% 
C) 72.6% 
D) 88.3% 
E) 88.75% 
A) 72.5% 
B) 93.8% 
C) 72.6% 
D) 88.3% 
E) 88.75%

Question 17

Find the domain of

Accepted Answer

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

Question 18

Sketch the graph of f

Accepted Answer

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

Question 19

Sketch the graph of the function.

Accepted Answer

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

Question 20

Find the domain of

Accepted Answer

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

Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance 9 from P(3, 4).

Find ,

Express the function in the form of

Find the distance d (A, B) between the points A (6, 6) and B (6, - 4).

A college student receives an interest-free loan of $8,570 from a relative. The student will repay $170 per month until the loan is paid off. After how many months will the student owe $5,000?

Find the graph of the line through for the value of =

Find and

Consider the following equations and their graph. Express, in interval form, the x-values such that Y₁ > Y₂ . Assume that the x- and y-values of each point of intersection are integers.

Express the function in the form of

Sketch the graph of the function.

Find

Find and

Find and

Find the domain of

Simplify the difference quotient for

Find the domain of

Sketch the graph of f

Sketch the graph of the function.

Find the domain of

Fundamental Concepts of Algebra

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

Filters

Exam 3: Functions and Graphs

Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance 9 from P(3, 4).

Find ,

Express the function in the form of

Find the distance d (A, B) between the points A (6, 6) and B (6, - 4).

A college student receives an interest-free loan of $8,570 from a relative. The student will repay $170 per month until the loan is paid off. After how many months will the student owe $5,000?

Find the graph of the line through for the value of =

Find and

Consider the following equations and their graph. Express, in interval form, the x-values such that Y 1 > Y 2 . Assume that the x- and y-values of each point of intersection are integers.

Express the function in the form of

Sketch the graph of the function.

Find

Find and

Find and

Find the domain of

Simplify the difference quotient for

Find the domain of

Sketch the graph of f

Sketch the graph of the function.

Find the domain of

Fundamental Concepts of Algebra

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

Filters

Consider the following equations and their graph. Express, in interval form, the x-values such that Y₁ > Y₂ . Assume that the x- and y-values of each point of intersection are integers.