Solve the equation. Check for extraneous solutions.
Question 28
28.
Solve the inequality. State the solution(s) using interval notation.
Question 29
29.
Solve the inequality. State the solution(s) using interval notation.
Question 1
1.
Write f(x) with real coefficients if f(i) = 0 and f(5) = 0.
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?
Question 3
3.
Which of the following polynomials would be the quotient function for f(x).
Question 6
6.
Write f(x) as a product of linear factors.
Question 7
7.
State the hole for f(x) as a coordinate. If there is not one, then write none.
Question 8
8.
State the vertical asymptote for f(x) as an equation for x.
Question 9
9.
State the end behavior asymptote for f(x) as an equation for y.
Question 10
10.
State the x-intercept for f(x) as a coordinate. If there is not one, then write none.
Question 11
11.
State the y-intercept for f(x) as a coordinate. If there is not one, then write none.
Question 12
12.
State the hole for f(x) as a coordinate. If there is not one, then write none.
Question 13
13.
State the vertical asymptote for f(x) as an equation for x.
Question 14
14.
State the end behavior asymptote for f(x) as an equation for y.
Question 15
15.
Select the x-intercept(s) of f(x).
Question 16
16.
State the y-intercept for f(x) as a coordinate. If there is not one, then write none.
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.
Question 19
19.
The imaginary number 2i is a zero of f(x).
Question 20
20.
The quotient polynomial of ...
... is an irreducibe quadratic.
Question 21
21.
What is the limit of f(x) as x approaches positive infinity?
Question 22
22.
What is the limit of f(x) as x approaches negative infinity?
Question 23
23.
Select the zero(s) of f(x).
Question 24
24.
State the y-intercept for f(x) as a coordinate. If there is not one, then write none.
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.
Question 26
26.
Sketch f(x) using its end behavior and intercepts. No Desmos graphs.