Write f(x) with real coefficients if f(i) = 0 and f(5) = 0.
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Question 2
2.
Which polynomial function has the limit of f(x) as x approaches infinity be equal to negative infinity and as x approaches negative infinity be equal to positive infinity?
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Question 3
3.
Which of the following polynomials would be the quotient function for f(x).
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Question 4
4.
What is the real zero(s) of f(x)?
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Question 5
5.
What are the nonreal zero(s) of f(x)?
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Question 6
6.
Write f(x) as a product of linear factors.
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Question 7
7.
State the hole for f(x) as a coordinate. If there is not one, then write none.
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Question 8
8.
State the vertical asymptote for f(x) as an equation for x.
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Question 9
9.
State the end behavior asymptote for f(x) as an equation for y.
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Question 10
10.
State the x-intercept for f(x) as a coordinate. If there is not one, then write none.
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Question 11
11.
State the y-intercept for f(x) as a coordinate. If there is not one, then write none.
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Question 12
12.
State the hole for f(x) as a coordinate. If there is not one, then write none.
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Question 13
13.
State the vertical asymptote for f(x) as an equation for x.
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Question 14
14.
State the end behavior asymptote for f(x) as an equation for y.
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Question 15
15.
Select the x-intercept(s) of f(x).
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Question 16
16.
State the y-intercept for f(x) as a coordinate. If there is not one, then write none.
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Question 17
17.
Graph f(x). Show any asymptotes, holes, and x- and y-intercepts, if they exist.
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Question 18
18.
If the function has a real zero of -4 with a multiplicity of three and an imaginary zero of 4i, then it has a degree of four.
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Question 19
19.
The imaginary number 2i is a zero of f(x).
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Question 20
20.
The quotient polynomial of ...
... is an irreducibe quadratic.
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Question 21
21.
What is the limit of f(x) as x approaches positive infinity?
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Question 22
22.
What is the limit of f(x) as x approaches negative infinity?
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Question 23
23.
Select the zero(s) of f(x).
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Question 24
24.
State the y-intercept for f(x) as a coordinate. If there is not one, then write none.
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Question 25
25.
Write f(x) as the product of linear and quadratic factors. **Note: Please put the quadratic factor first, then the linear factors.
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Question 26
26.
Sketch f(x) using its end behavior and intercepts. No Desmos graphs.
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Question 27
27.
Solve the equation. Check for extraneous solutions.
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Question 28
28.
Solve the inequality. State the solution(s) using interval notation.
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Question 29
29.
Solve the inequality. State the solution(s) using interval notation.