# Characteristics of Rational Functions

Taught by mrbrianmclogan
• Currently 3.0/5 Stars.
7308 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson on Characteristics of Rational Functions, the instructor explains how to identify the vertical and horizontal asymptotes, slant asymptotes and x and y intercepts for a given function. Starting with finding the x and y intercepts, the instructor then explains how to identify the vertical asymptote, and how to determine if a horizontal asymptote exists. The instructor then goes on to explain how to identify a slant asymptote and how to graph it. Overall, this lesson provides a comprehensive understanding of how to identify the different characteristics of rational functions.

Lesson Description:

How to find the vertical,horizontal,slat asymptote and x and y intercepts

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• How do you determine the x-intercept ?
• How would you calculate the y-intercept?
• Why doesn't the function have a horizontal asymptote?
• How would you know when a function has a slant asymptote?
• How do you find the slant asymptote?
• #### Staff Review

• Currently 3.0/5 Stars.
It's a good revision of x-intercept, y-intercept, horizontal and vertical asymptotes. We are also told how to determine the slant asymptote? However I would have preferred if the conventional long division was used to actually find the slant asymptote