Question 1

Find a composite function form for y if:

Accepted Answer

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

Question 2

Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance 7 from P(2, 3).

Accepted Answer

A) ( - 3.35, - 1.68 ) 
B) ( - 3.45, - 1.63 ) 
C) ( - 3.25, - 1.63 ) 
D) ( - 3.15, - 1.58 ) 
E) ( - 3.45, - 6.91 ) 
A) ( - 3.35, - 1.68 ) 
B) ( - 3.45, - 1.63 ) 
C) ( - 3.25, - 1.63 ) 
D) ( - 3.15, - 1.58 ) 
E) ( - 3.45, - 6.91 ) C

Question 3

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

Question 4

Several values of two functions T and S are listed in the following tables: t
0 1 2 3
T(t)
2 3 1 0
X
0 1 2 3
S(x)
1 0 3 2
Find:

Accepted Answer

A)    
B)    
C)    
D)    
E) not possible 
A)    
B)    
C)    
D)    
E) not possible

Question 5

Find the domain of

Accepted Answer

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

Question 6

If the point P (10, 8) is on the graph of a function f, find the corresponding point on the graph of the function

Accepted Answer

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

Question 7

Find the domain of

Accepted Answer

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

Question 8

Sketch the graphs of the lines on the same coordinate plane.

Accepted Answer

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

Question 9

If   are real numbers, find

Accepted Answer

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

Question 10

Given the two lines graphed on the same coordinate plane, find the coordinates of the point of intersection (the coordinates are integers).

Accepted Answer

A) ( - 17, 11 ) 
B) ( - 11, 14 ) 
C) ( - 11, 12 ) 
D) ( - 16, 12 ) 
E) ( - 11, 17 ) 
A) ( - 17, 11 ) 
B) ( - 11, 14 ) 
C) ( - 11, 12 ) 
D) ( - 16, 12 ) 
E) ( - 11, 17 )

Question 11

If   are real numbers, find

Accepted Answer

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

Question 12

Find the domain of

Accepted Answer

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

Question 13

Find the domain of

Accepted Answer

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

Question 14

Let y = f (x) be a function with domain D = [ -9, -3 ] and range R = [ -4, -3 ]. Find the domain D and range R for the function

Accepted Answer

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

Question 15

A cable television firm presently serves 5,900 households and charges $22 per month. A marketing survey indicates that each decrease of $1 in the monthly charge will result in 590 new customers. Let R(x) denote the total monthly revenue when the monthly charge is x dollars. Find the value of x that results in maximum monthly revenue.

Accepted Answer

A) $21 
B) $6 
C) $11 
D) $16 
E) $22 
A) $21 
B) $6 
C) $11 
D) $16 
E) $22

Question 16

An object is projected vertically upward from the top of a building with an initial velocity of   ft/sec. Its distance   in feet above the ground after   seconds is given by the equation   Find its maximum distance above the ground.

Accepted Answer

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

Question 17

Find a formula that expresses the fact that P(x, y) is a distance 2 away from the origin.

Accepted Answer

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

Question 18

Find the domain of

Accepted Answer

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

Question 19

Find an equation of the line that is tangent to the circle x 2  + y 2  = 100 at the point P ( 6, 8 ).

Accepted Answer

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

Question 20

Express the function   in the form of

Accepted Answer

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

Find a composite function form for y if:

Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance 7 from P(2, 3).

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.

Several values of two functions T and S are listed in the following tables: t 0 1 2 3 T(t) 2 3 1 0 X 0 1 2 3 S(x) 1 0 3 2 Find:

Find the domain of

If the point P (10, 8) is on the graph of a function f, find the corresponding point on the graph of the function

Find the domain of

Sketch the graphs of the lines on the same coordinate plane.

If are real numbers, find

Given the two lines graphed on the same coordinate plane, find the coordinates of the point of intersection (the coordinates are integers).

If are real numbers, find

Find the domain of

Find the domain of

Let y = f (x) be a function with domain D = [ -9, -3 ] and range R = [ -4, -3 ]. Find the domain D and range R for the function

An object is projected vertically upward from the top of a building with an initial velocity of ft/sec. Its distance in feet above the ground after seconds is given by the equation Find its maximum distance above the ground.

Find a formula that expresses the fact that P(x, y) is a distance 2 away from the origin.

Find the domain of

Find an equation of the line that is tangent to the circle x² + y² = 100 at the point P ( 6, 8 ).

Express the function in the form 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

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Exam 3: Functions and Graphs

Find a composite function form for y if:

Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance 7 from P(2, 3).

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.

Several values of two functions T and S are listed in the following tables: t 0 1 2 3 T(t) 2 3 1 0 X 0 1 2 3 S(x) 1 0 3 2 Find:

Find the domain of

If the point P (10, 8) is on the graph of a function f, find the corresponding point on the graph of the function

Find the domain of

Sketch the graphs of the lines on the same coordinate plane.

If are real numbers, find

Given the two lines graphed on the same coordinate plane, find the coordinates of the point of intersection (the coordinates are integers).

If are real numbers, find

Find the domain of

Find the domain of

Let y = f (x) be a function with domain D = [ -9, -3 ] and range R = [ -4, -3 ]. Find the domain D and range R for the function

An object is projected vertically upward from the top of a building with an initial velocity of ft/sec. Its distance in feet above the ground after seconds is given by the equation Find its maximum distance above the ground.

Find a formula that expresses the fact that P(x, y) is a distance 2 away from the origin.

Find the domain of

Find an equation of the line that is tangent to the circle x 2 + y 2 = 100 at the point P ( 6, 8 ).

Express the function in the form 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

Find an equation of the line that is tangent to the circle x² + y² = 100 at the point P ( 6, 8 ).