Here's an example to consider when completing number 5 below:
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Question 5
5.
Find the difference:
(be sure to put your answer in standard form with the highest degree in front in the numerator)
Required
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Question 6
6.
Simplify:
Required
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Question 7
7.
The graph at the left can be modeled by the equation:
(go to show your work and create your asymptotes if necessary)
h=?
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Question 8
8.
The graph at the left can be modeled by the equation:
k=?
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Question 9
9.
The graph at the left can be modeled by the equation:
The function shifted horizontially:
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Question 10
10.
The graph at the left can be modeled by the equation:
The function shifted vertically:
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Question 11
11.
The graph at the left can be modeled by the equation:
The domain of the function is: (use set notation)
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Question 12
12.
The graph at the left can be modeled by the equation:
The range of the function is: (use set notation)
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Question 13
13.
The graph at the left can be modeled by the equation:
The end behavior of this function is:
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Question 14
14.
The graph at the left can be modeled by the equation:
The end behavior of this function is:
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Question 15
15.
Given the function, the domain is:
(use set notation)
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Question 16
16.
Given the function, the range is:
(use set notation)
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Question 17
17.
This function has the following discontinuity: (check all that apply)
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Question 18
18.
The vertical asymptote of this function is:
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Question 19
19.
The horizontal asymptote of this function is:
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Question 20
20.
Which function below belongs in the same family of functions (has the same parent function) as the given graph?
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Question 21
21.
Find the zero of the function:
(if your answer is a fraction, input the fraction NOT the decimal)
HINT!!!...set y = 0 then solve for x...note this does NOT follow the rules for rational functions
(this is NOT p(x)/q(x)) since there's an extra -2 at the back of the equation...just sub a 0 in for y and solve for x here to find the zero.
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Question 22
22.
Given the function, what is the end behavior?
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Question 23
23.
Given the function, what is the end behavior?
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Question 24
24.
Identify the types of asymptotes for each of the equations below:
(grab the pretty circle on the right and move it to the correct answer...use your laws for asymptotes for rational functions)
Draggable item
arrow_right_alt
Corresponding Item
arrow_right_alt
No Asymptotes
arrow_right_alt
Both Horizontal and Vertical Asymptotes
arrow_right_alt
A Horizontal Asymptote but not a Vertical
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Question 25
25.
Solve:
input your answer using set notation
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Question 26
26.
Solve:
input your answer using set notation, low to high
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Question 27
27.
(use 'd' for days and 'n' for number of construction workers)
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Question 28
28.
Wind chill factor (W) varies directly with temperature (T) and inversely with the wind velocity (v). If k is the constant of proportionality, write an equation to represent this relationship:
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Question 29
29.
Suppose c varies directly with a. When c = 20, a = 2. What is the value of c when a = 4?
Required
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Question 30
30.
Suppose y varies jointly with x and z. When y = 50, x = 2, and z = 1.5. What is the value of x when y = 35 and z = 4?
input your answer as a simplified fraction
Required
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Question 31
31.
What type of variation is shown the following equation? (direct, joint or inverse)
Required
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Question 32
32.
What type of variation is shown the following equation? (direct, joint or inverse)