Question 1

Let y = f (x) be a function with domain D = [ -10, -6 ] and range R = [ -7, -3 ]. Find the domain D and range R for the function

Accepted Answer

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

Question 2

Find     ,

Accepted Answer

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

Question 3

Find the equation of the circle that satisfies the conditions:

Accepted Answer

A) (x + 6) 2  + (y - 4) 2  = 4 
B) (x - 6) 2  + (y + 4) 2  = 16 
C) (x + 6) 2  - (y + 4) 2  = 16 
D) (x + 6) 2  + (y + 4) 2  = 16 
E) (x - 6) 2  + (y + 4) 2  = 4 
A) (x + 6) 2  + (y - 4) 2  = 4 
B) (x - 6) 2  + (y + 4) 2  = 16 
C) (x + 6) 2  - (y + 4) 2  = 16 
D) (x + 6) 2  + (y + 4) 2  = 16 
E) (x - 6) 2  + (y + 4) 2  = 4

Question 4

Let y = f (x) be a function with domain D = [ -10, -9 ] and range R = [ -10, -7 ]. Find the domain D and range R for the function

Accepted Answer

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

Question 5

A 100-foot-long cable of diameter 2 inches is submerged in seawater. Because of corrosion, the surface area of the cable decreases at the rate of 1,000in 2  per year. Express the diameter d of the cable as a function of time t (in years). (Disregard corrosion at the ends of the cable.)

Accepted Answer

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

Question 6

Find     and

Accepted Answer

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

Question 7

Simplify the difference quotient   for

Accepted Answer

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

Question 8

In exercise physiology, aerobic power P is defined in terms of maximum oxygen intake. For altitudes up to 1,760 meters, aerobic power is optimal-that is, 100%. Beyond 1,760 meters, P decreases linearly from the maximum of 100% to a value near 40% at 4,960 meters. Estimate aerobic power at the altitude of 2,400 meters.

Accepted Answer

A) 78.4% 
B) 86.1% 
C) 88% 
D) 93.1% 
E) 90.9% 
A) 78.4% 
B) 86.1% 
C) 88% 
D) 93.1% 
E) 90.9%

Question 9

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

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

Question 10

Find     and

Accepted Answer

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

Question 11

Find     and

Accepted Answer

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

Question 12

The volume of a conical pile of sand is increasing at a rate of   ft 3 /min, and the height of the pile always equals the radius r of the base. Express r as a function of time t (in minutes), assuming that r = 0 when t = 0.

Accepted Answer

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

Question 13

Find a composite function form for y if:

Accepted Answer

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

Question 14

Find two positive real numbers whose sum is 20 and whose product is a maximum.

Accepted Answer

A) 15 and 5 
B) 8 and 12 
C) 1 and 19 
D) 10 and 10 
E) 18 and 2 
A) 15 and 5 
B) 8 and 12 
C) 1 and 19 
D) 10 and 10 
E) 18 and 2

Question 15

Find the distance d (A, B) between the points A (1, - 1) and B (8, 1).

Accepted Answer

A) 7.28 
B) 6.28 
C) 6.98 
D) 7.78 
E) 7.18 
A) 7.28 
B) 6.28 
C) 6.98 
D) 7.78 
E) 7.18

Question 16

Find a formula that expresses the fact that P(x, y) is a distance 8 away from the origin.

Accepted Answer

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

Question 17

Find a composite function form for y if:

Accepted Answer

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

Question 18

Find the domain of

Accepted Answer

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B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
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Question 19

Find the midpoint of the segment AB between the points A (- 1, - 1) and B (13, 9)

Accepted Answer

A) ( 6, 4 ) 
B) ( -1, 4 ) 
C) ( 6, 9 ) 
D) ( 1, 4 ) 
E) ( 13, 4 ) 
A) ( 6, 4 ) 
B) ( -1, 4 ) 
C) ( 6, 9 ) 
D) ( 1, 4 ) 
E) ( 13, 4 )

Question 20

Find

Accepted Answer

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

Let y = f (x) be a function with domain D = [ -10, -6 ] and range R = [ -7, -3 ]. Find the domain D and range R for the function

Find ,

Find the equation of the circle that satisfies the conditions:

Let y = f (x) be a function with domain D = [ -10, -9 ] and range R = [ -10, -7 ]. Find the domain D and range R for the function

A 100-foot-long cable of diameter 2 inches is submerged in seawater. Because of corrosion, the surface area of the cable decreases at the rate of 1,000in² per year. Express the diameter d of the cable as a function of time t (in years). (Disregard corrosion at the ends of the cable.)

Find and

Simplify the difference quotient for

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.

Find and

Find and

The volume of a conical pile of sand is increasing at a rate of ft³/min, and the height of the pile always equals the radius r of the base. Express r as a function of time t (in minutes), assuming that r = 0 when t = 0.

Find a composite function form for y if:

Find two positive real numbers whose sum is 20 and whose product is a maximum.

Find the distance d (A, B) between the points A (1, - 1) and B (8, 1).

Find a formula that expresses the fact that P(x, y) is a distance 8 away from the origin.

Find a composite function form for y if:

Find the domain of

Find the midpoint of the segment AB between the points A (- 1, - 1) and B (13, 9)

Find

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

Let y = f (x) be a function with domain D = [ -10, -6 ] and range R = [ -7, -3 ]. Find the domain D and range R for the function

Find ,

Find the equation of the circle that satisfies the conditions:

Let y = f (x) be a function with domain D = [ -10, -9 ] and range R = [ -10, -7 ]. Find the domain D and range R for the function

A 100-foot-long cable of diameter 2 inches is submerged in seawater. Because of corrosion, the surface area of the cable decreases at the rate of 1,000in 2 per year. Express the diameter d of the cable as a function of time t (in years). (Disregard corrosion at the ends of the cable.)

Find and

Simplify the difference quotient for

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.

Find and

Find and

The volume of a conical pile of sand is increasing at a rate of ft 3 /min, and the height of the pile always equals the radius r of the base. Express r as a function of time t (in minutes), assuming that r = 0 when t = 0.

Find a composite function form for y if:

Find two positive real numbers whose sum is 20 and whose product is a maximum.

Find the distance d (A, B) between the points A (1, - 1) and B (8, 1).

Find a formula that expresses the fact that P(x, y) is a distance 8 away from the origin.

Find a composite function form for y if:

Find the domain of

Find the midpoint of the segment AB between the points A (- 1, - 1) and B (13, 9)

Find

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

A 100-foot-long cable of diameter 2 inches is submerged in seawater. Because of corrosion, the surface area of the cable decreases at the rate of 1,000in² per year. Express the diameter d of the cable as a function of time t (in years). (Disregard corrosion at the ends of the cable.)

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.

The volume of a conical pile of sand is increasing at a rate of ft³/min, and the height of the pile always equals the radius r of the base. Express r as a function of time t (in minutes), assuming that r = 0 when t = 0.