Part 1: Create a rational function that fits the following criterias: Degree of the numerator is at least 2 Degree of the denominator is at least 1 higher than the numerator At least 2 vertical asymptotes At least 1 x-intercept A y-intercept that is negative Please explain how you are graphing it (how you found the “arrows” and points). Part 2: Using the function you created, solve the following inequality: f(x) ≤ -1 (use a sign chart to help solve the inequality & final answer must include: set notation, interval notation, number line)
Part 1: Create a rational function that fits the following criterias: Degree of the numerator is at least 2 Degree of the denominator is at least 1 higher than the numerator At least 2 vertical asymptotes At least 1 x-intercept A y-intercept that is negative Please explain how you are graphing it (how you found the “arrows” and points). Part 2: Using the function you created, solve the following inequality: f(x) ≤ -1 (use a sign chart to help solve the inequality & final answer must include: set notation, interval notation, number line)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part 1: Create a rational function that fits the following criterias:
- Degree of the numerator is at least 2
- Degree of the denominator is at least 1 higher than the numerator
- At least 2 vertical asymptotes
- At least 1 x-intercept
- A y-intercept that is negative
Please explain how you are graphing it (how you found the “arrows” and points).
Part 2: Using the function you created, solve the following inequality:
f(x) ≤ -1
(use a sign chart to help solve the inequality & final answer must include: set notation, interval notation, number line)
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