1. Write an equation for a rational function with the given characteristics: Vertical asymptotes at x = 5 and x = -5 x intercept at (2,0) and (-1,0) y-intercept at (0,4) 2. Graph the function. Label the axes, the asymptotes and intercepts.
Added by Francisco Javier M.
Close
Step 1
This means the denominator of the rational function will have factors of (x - 5) and (x + 5). ** Show more…
Show all steps
Your feedback will help us improve your experience
Shaiju T and 95 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptotes at $x=5$ and $x=-5, x$ -intercepts at $(2,0)$ and $(-1,0), y$ -intercept at $(0,4)$
Polynomial and Rational Functions
Rational Functions
Write an equation for a rational function with the given characteristics. Vertical asymptotes at x = -1 and x = 4, x-intercepts at (-4,0) and (2,0), horizontal asymptote at y = -5.
Suman Saurav T.
For the following exercises, write an equation for a rational function with the given characteristics. Vertical asymptotes at $x=-4$ and $x=-1, x$ -intercepts at $(1,0)$ and $(5,0), y$ -intercept at $(0,7)$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD