1. Create an equation for a rational function, f(x) in factored form that satisfies the following conditions: • The function has 3 restrictions on the domain • One restriction must be at x = -4 • The function has only ONE vertical asymptote • The function has only ONE interval where f(x) is less than 0. Remember to explain what each condition means and how you used each condition to help you create your rational function 2. Graph the rational function you created using the key properties of a rational function (asymptotes, intercepts, holes, behaviour by the asymptotes) to help you verify that all the conditions have been met. Use specific features on the graph to explain how your function satisfies each of the conditions. 10. 10
1. Create an equation for a rational function, f(x) in factored form that satisfies the following conditions: • The function has 3 restrictions on the domain • One restriction must be at x = -4 • The function has only ONE vertical asymptote • The function has only ONE interval where f(x) is less than 0. Remember to explain what each condition means and how you used each condition to help you create your rational function 2. Graph the rational function you created using the key properties of a rational function (asymptotes, intercepts, holes, behaviour by the asymptotes) to help you verify that all the conditions have been met. Use specific features on the graph to explain how your function satisfies each of the conditions. 10. 10
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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Transcribed Image Text:1. Create an equation for a rational function, f(x) in factored form that satisfies
the following conditions:
• The function has 3 restrictions on the domain
• One restriction must be at x = -4
• The function has only ONE vertical asymptote
• The function has only ONE interval where f(x) is less than 0.
Remember to explain what each condition means and how you used each condition
to help you create your rational function
2. Graph the rational function you created using the key properties of a rational
function (asymptotes, intercepts, holes, behaviour by the asymptotes) to help you
verify that all the conditions have been met.
Use specific features on the graph to explain how your function
satisfies each of the conditions.
10
10
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