Question 1

Find     and

Accepted Answer

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

Question 2

Given A (2, -1) and B (-6, 7), find the point on segment AB that is three-fourths of the way from A to B.

Accepted Answer

A) ( 1, 0 ) 
B) ( 5, -4 ) 
C) ( 0, 1 ) 
D) ( -4, 5 ) 
E) ( -2, 0 ) 
A) ( 1, 0 ) 
B) ( 5, -4 ) 
C) ( 0, 1 ) 
D) ( -4, 5 ) 
E) ( -2, 0 )

Question 3

If   are real numbers, find

Accepted Answer

A) f ( a ) + f ( h ) = a 2  + h 2  + a + h + 6 
B) f ( a ) + f ( h ) = a 2  + h 2  - a - h + 6 
C) f ( a ) + f ( h ) = a 2  + h 2  - a - h 
D) f ( a ) + f ( h ) = a 2  + h 2  - a - h - 6 
E) f ( a ) + f ( h ) = a 2  + h 2  + a + h 
A) f ( a ) + f ( h ) = a 2  + h 2  + a + h + 6 
B) f ( a ) + f ( h ) = a 2  + h 2  - a - h + 6 
C) f ( a ) + f ( h ) = a 2  + h 2  - a - h 
D) f ( a ) + f ( h ) = a 2  + h 2  - a - h - 6 
E) f ( a ) + f ( h ) = a 2  + h 2  + a + h

Question 4

Find an equation of the line that is tangent to the circle x 2  + y 2  = 25 at the point P ( 3, 4 ).

Accepted Answer

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

Question 5

Find     and

Accepted Answer

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

Question 6

Find the domain of

Accepted Answer

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

Question 7

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 8

Find the domain of   .

Accepted Answer

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

Question 9

Find a composite function form for y if:

Accepted Answer

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

Question 10

Find the midpoint of the segment AB between the points A (- 5, - 3) and B (9, 13)

Accepted Answer

A) ( 2, 5 ) 
B) ( 3, 5 ) 
C) ( 5, 5 ) 
D) ( 9, 5 ) 
E) ( 2, 13 ) 
A) ( 2, 5 ) 
B) ( 3, 5 ) 
C) ( 5, 5 ) 
D) ( 9, 5 ) 
E) ( 2, 13 )

Question 11

Find the domain of   .

Accepted Answer

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

Question 12

Find the domain of

Accepted Answer

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

Question 13

Sketch the graph of the equation.

Accepted Answer

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

Question 14

Let y = f (x) be a function with domain D = [ -6, -1 ] and range R = [ -8, -5 ]. Find the domain D and range R for the function

Accepted Answer

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

Question 15

Use tests for symmetry to determine if the graph of the function is symmetric with respect to the y-axis, the x-axis, or the origin.

Accepted Answer

A) the graph is symmetric with respect to the x-axis 
B) the graph is symmetric with respect to the y-axis 
C) the graph is symmetric with respect to the x-axis and the y-axis 
D) the graph is symmetric with respect to the origin 
E) the graph is not symmetric 
A) the graph is symmetric with respect to the x-axis 
B) the graph is symmetric with respect to the y-axis 
C) the graph is symmetric with respect to the x-axis and the y-axis 
D) the graph is symmetric with respect to the origin 
E) the graph is not symmetric

Question 16

An object is projected vertically upward with an initial velocity of   ft/sec, and its distance   in feet above the ground after   seconds is given by the formula   . If the object hits the ground after   seconds, find its initial velocity   in ft/sec.

Accepted Answer

A)    ft/sec 
B)    ft/sec 
C)    ft/sec 
D)    ft/sec 
E)    ft/sec 
A)    ft/sec 
B)    ft/sec 
C)    ft/sec 
D)    ft/sec 
E)    ft/sec

Question 17

Find the distance d (A, B) between the points A (4, - 6) and B (7, 3).

Accepted Answer

A) 8.49 
B) 9.49 
C) 9.19 
D) 9.39 
E) 9.99 
A) 8.49 
B) 9.49 
C) 9.19 
D) 9.39 
E) 9.99

Question 18

In exercise physiology, aerobic power P is defined in terms of maximum oxygen intake. For altitudes up to 1,720 meters, aerobic power is optimal-that is, 100%. Beyond 1,720 meters, P decreases linearly from the maximum of 100% to a value near 40% at 4,920 meters. Estimate aerobic power at the altitude of 2,400 meters.

Accepted Answer

A) 84.5% 
B) 77.3% 
C) 80.1% 
D) 90.5% 
E) 87.25% 
A) 84.5% 
B) 77.3% 
C) 80.1% 
D) 90.5% 
E) 87.25%

Question 19

Find the equation of the circle that satisfies the conditions:

Accepted Answer

A) (x + 2) 2  + (y - 8) 2  = 6 
B) (x - 2) 2  + (y + 8) 2  = 36 
C) (x - 2) 2  + (y + 8) 2  = 6 
D) (x + 2) 2  + (y + 8) 2  = 36 
E) (x + 2) 2  - (y + 8) 2  = 36 
A) (x + 2) 2  + (y - 8) 2  = 6 
B) (x - 2) 2  + (y + 8) 2  = 36 
C) (x - 2) 2  + (y + 8) 2  = 6 
D) (x + 2) 2  + (y + 8) 2  = 36 
E) (x + 2) 2  - (y + 8) 2  = 36

Question 20

Find the equation of the circle that satisfies the conditions:

Accepted Answer

A) (x - 9) 2  + (y + 6) 2  = 4 
B) (x + 9) 2  + (y - 6) 2  = 4 
C) (x + 9) 2  + (y + 6) 2  = 16 
D) (x - 9) 2  + (y + 6) 2  = 16 
E) (x + 9) 2  - (y + 6) 2  = 16 
A) (x - 9) 2  + (y + 6) 2  = 4 
B) (x + 9) 2  + (y - 6) 2  = 4 
C) (x + 9) 2  + (y + 6) 2  = 16 
D) (x - 9) 2  + (y + 6) 2  = 16 
E) (x + 9) 2  - (y + 6) 2  = 16

Find and

Given A (2, -1) and B (-6, 7), find the point on segment AB that is three-fourths of the way from A to B.

If are real numbers, find

Find an equation of the line that is tangent to the circle x² + y² = 25 at the point P ( 3, 4 ).

Find and

Find the domain of

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 the domain of .

Find a composite function form for y if:

Find the midpoint of the segment AB between the points A (- 5, - 3) and B (9, 13)

Find the domain of .

Find the domain of

Sketch the graph of the equation.

Let y = f (x) be a function with domain D = [ -6, -1 ] and range R = [ -8, -5 ]. Find the domain D and range R for the function

Use tests for symmetry to determine if the graph of the function is symmetric with respect to the y-axis, the x-axis, or the origin.

An object is projected vertically upward with an initial velocity of ft/sec, and its distance in feet above the ground after seconds is given by the formula . If the object hits the ground after seconds, find its initial velocity in ft/sec.

Find the distance d (A, B) between the points A (4, - 6) and B (7, 3).

Find the equation of the circle that satisfies the conditions:

Find the equation of the circle that satisfies the conditions:

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

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Exam 3: Functions and Graphs

Find and

Given A (2, -1) and B (-6, 7), find the point on segment AB that is three-fourths of the way from A to B.

If are real numbers, find

Find an equation of the line that is tangent to the circle x 2 + y 2 = 25 at the point P ( 3, 4 ).

Find and

Find the domain of

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 the domain of .

Find a composite function form for y if:

Find the midpoint of the segment AB between the points A (- 5, - 3) and B (9, 13)

Find the domain of .

Find the domain of

Sketch the graph of the equation.

Let y = f (x) be a function with domain D = [ -6, -1 ] and range R = [ -8, -5 ]. Find the domain D and range R for the function

Use tests for symmetry to determine if the graph of the function is symmetric with respect to the y-axis, the x-axis, or the origin.

An object is projected vertically upward with an initial velocity of ft/sec, and its distance in feet above the ground after seconds is given by the formula . If the object hits the ground after seconds, find its initial velocity in ft/sec.

Find the distance d (A, B) between the points A (4, - 6) and B (7, 3).

Find the equation of the circle that satisfies the conditions:

Find the equation of the circle that satisfies the conditions:

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

Find an equation of the line that is tangent to the circle x² + y² = 25 at the point P ( 3, 4 ).

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.