In this activity, you will have to be creative!!! After learning how to graph rational functions, and how they work, you will need to create a graph that meets the following criteria. Because you are creating a sketch of a graph, your graph will NOT be based upon an equation....You don't have one to work with :) Again, you are NOT creating an equation or working with an equation. You are just drawing a sketch of a graph. Sketch a graph that has the following characteristics: 1) It must be a rational function. 2) It must contain 2 vertical asymptotes. 3) It must contain 1 horizontal asymptote at y=-2. 4) It must contain exactly 2 x-intercepts. 5) It must be symmetrical with respect to the y axis. Make sure your graph meets all 5 of these criteria. After creating the graph, and showing your understanding of rational functions, answer the following questions: 1. What is the domain of your graph? What is the range of your graph? 2. Could the y intercept be POSITIVE? Answer yes/no and then explain your reasoning. 3. If you had an equation (which you do not), what would be the factors of the denominator....based on your graphs asymptotes?
In this activity, you will have to be creative!!! After learning how to graph rational functions, and how they work, you will need to create a graph that meets the following criteria. Because you are creating a sketch of a graph, your graph will NOT be based upon an equation....You don't have one to work with :) Again, you are NOT creating an equation or working with an equation. You are just drawing a sketch of a graph. Sketch a graph that has the following characteristics: 1) It must be a rational function. 2) It must contain 2 vertical asymptotes. 3) It must contain 1 horizontal asymptote at y=-2. 4) It must contain exactly 2 x-intercepts. 5) It must be symmetrical with respect to the y axis. Make sure your graph meets all 5 of these criteria. After creating the graph, and showing your understanding of rational functions, answer the following questions: 1. What is the domain of your graph? What is the range of your graph? 2. Could the y intercept be POSITIVE? Answer yes/no and then explain your reasoning. 3. If you had an equation (which you do not), what would be the factors of the denominator....based on your graphs asymptotes?
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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Transcribed Image Text:In this activity, you will have to be creative!!! After learning how to graph rational functions, and how they
work, you will need to create a graph that meets the following criteria. Because you are creating a sketch of a
graph, your graph will NOT be based upon an equation....You don't have one to work with :) Again, you are
NOT creating an equation or working with an equation. You are just drawing a sketch of a graph.
Sketch a graph that has the following characteristics:
1) It must be a rational function.
2) It must contain 2 vertical asymptotes.
3) It must contain 1 horizontal asymptote at y=-2.
4) It must contain exactly 2 x-intercepts.
5) It must be symmetrical with respect to the y axis.
Make sure your graph meets all 5 of
criteria.
After creating the graph, and showing your understanding of rational functions, answer the following
questions:
1. What is the domain of your graph? What is the range of your graph?
2. Could the y intercept be POSITIVE? Answer yes/no and then explain your reasoning.
3. If you had an equation (which you do not), what would be the factors of the denominator....based on your
graphs asymptotes?
Please sketch this on graph paper or notebook paper; do not do it on Desmos (since you don't have an equation...this
would be nearly impossible). Submit your work here by uploading a pdf or image. Good Luck and be creative!
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