Question 1

Find the difference quotient and simplify your answer.

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Question 2

Gretel's Computer Repair Store purchases a network server for $1145. The machine has a useful life of 5 years after which time another one will have to be purchased. Assume depreciation of the machine is linear. Write a linear equation giving the value V of the network server during the 5 years it will be in use.

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Question 3

Find all real values of x such that f (x) = 0.

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Question 4

Evaluate the function for the indicated values. f(x) = 4   x + 8   + 8
(i)   (ii)   (iii)

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Question 5

Graph the given function.

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Question 6

Determine whether the function has an inverse function. If it does, find the inverse function.

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B)  No inverse function exists. 
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B)  No inverse function exists. 
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Question 7

Show algebraically that f and g are inverse functions.

Accepted Answer

The answer of Show algebraically that f and g are...

Question 8

A rectangle is bounded by the x-axis and the semicircle   (see figure). Write the area A of the rectangle as a function of x and determine the domain of the function.     -2 2

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Question 9

Find the zeroes of the functions algebraically.

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Question 10

Find all real values of x such that f (x) = 0.

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Question 11

Does the table describe a function?

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 12

Use the graphs of f and g to evaluate the function.

Accepted Answer

A)  9 
B)  -1 
C)  0 
D)  -4 
E)  -2 
A)  9 
B)  -1 
C)  0 
D)  -4 
E)  -2

Question 13

Find the inverse function of f.

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Question 14

Determine whether the function has an inverse function. If it does, find the inverse function.

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D)  No inverse function exists. 
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D)  No inverse function exists. 
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Question 15

Which equation does not represent y as a function of x?

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Question 16

Evaluate the indicated function for   .

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Question 17

Use the position equation   to write a function that represents the situation and give the average velocity of the object from time t1 to time t2. An object is thrown upward from a height of 174 feet at a velocity of 1 feet per second.
T1 = 1, t2 = 5

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Question 18

The monthly cost C of running the machinery in a factory for t hours is given by   The number of hours t needed to produce x products is given by   . Find the equation representing the cost C of manufacturing x products.

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Question 19

Use the graph of the function to find the domain and range of f.

Accepted Answer

A)  domain:   range:   
B)  domain:   range:   
C)  domain:   range:   
D)  domain:   range:   
E)  domain:   range:   
A)  domain:   range:   
B)  domain:   range:   
C)  domain:   range:   
D)  domain:   range:   
E)  domain:   range:

Question 20

Determine the intervals over which the function is increasing, decreasing, or constant.

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Find the difference quotient and simplify your answer.

Find all real values of x such that f (x) = 0.

Evaluate the function for the indicated values. f(x) = 4 x + 8 + 8 (i) (ii) (iii)

Graph the given function.

Determine whether the function has an inverse function. If it does, find the inverse function.

Show algebraically that f and g are inverse functions.

A rectangle is bounded by the x-axis and the semicircle (see figure). Write the area A of the rectangle as a function of x and determine the domain of the function. -2 2

Find the zeroes of the functions algebraically.

Find all real values of x such that f (x) = 0.

Does the table describe a function?

Use the graphs of f and g to evaluate the function.

Find the inverse function of f.

Determine whether the function has an inverse function. If it does, find the inverse function.

Which equation does not represent y as a function of x?

Evaluate the indicated function for .

Use the position equation to write a function that represents the situation and give the average velocity of the object from time t₁ to time t₂. An object is thrown upward from a height of 174 feet at a velocity of 1 feet per second. T₁ = 1, t₂ = 5

The monthly cost C of running the machinery in a factory for t hours is given by The number of hours t needed to produce x products is given by . Find the equation representing the cost C of manufacturing x products.

Use the graph of the function to find the domain and range of f.

Determine the intervals over which the function is increasing, decreasing, or constant.

Prerequisites

Equations, Inequalities, and Mathematical Modeling

Polynomial Functions

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Filters

Exam 3: Functions and Their Graphs

Find the difference quotient and simplify your answer.

Find all real values of x such that f (x) = 0.

Evaluate the function for the indicated values. f(x) = 4 x + 8 + 8 (i) (ii) (iii)

Graph the given function.

Determine whether the function has an inverse function. If it does, find the inverse function.

Show algebraically that f and g are inverse functions.

A rectangle is bounded by the x-axis and the semicircle (see figure). Write the area A of the rectangle as a function of x and determine the domain of the function. -2 2

Find the zeroes of the functions algebraically.

Find all real values of x such that f (x) = 0.

Does the table describe a function?

Use the graphs of f and g to evaluate the function.

Find the inverse function of f.

Determine whether the function has an inverse function. If it does, find the inverse function.

Which equation does not represent y as a function of x?

Evaluate the indicated function for .

Use the position equation to write a function that represents the situation and give the average velocity of the object from time t1 to time t2. An object is thrown upward from a height of 174 feet at a velocity of 1 feet per second. T1 = 1, t2 = 5

The monthly cost C of running the machinery in a factory for t hours is given by The number of hours t needed to produce x products is given by . Find the equation representing the cost C of manufacturing x products.

Use the graph of the function to find the domain and range of f.

Determine the intervals over which the function is increasing, decreasing, or constant.

Prerequisites

Equations, Inequalities, and Mathematical Modeling

Polynomial Functions

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Filters

Use the position equation to write a function that represents the situation and give the average velocity of the object from time t₁ to time t₂. An object is thrown upward from a height of 174 feet at a velocity of 1 feet per second. T₁ = 1, t₂ = 5