The piece-wise Q function below is made up a one cubic function, one rational function and two linear functions. Use the graph of y = Q(x) below to answer the following question about Q:
What is the domain of Q?
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Question 4
4.
What is the range of Q?
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Question 5
5.
List all the discontinuities of Q and identify the type of each.
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Question 6
6.
On which intervals is Qincreasing?
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Question 7
7.
Let’s think about the intercepts of y = Q(x).
Does Q have any roots? If so, estimate them? If not, explain why not.
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Question 8
8.
Does Q have a y-intercept? If so what is it? If not, explain why not.
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Question 9
9.
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Question 10
10.
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Question 11
11.
Graph a function that satisfies all given requirements.
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Question 12
12.
Graph a function that satisfies all given requirements.