Rational Functions

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Objective

I can graph rational functions and analyze their behavior near asymptotes.

Part 1 of 3

Warm-up video

Professor Dave Explains · 7:24Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

What is a rational function? Provide an example and explain its components.

2

Describe how to find the vertical asymptotes of a rational function. Include an example in your explanation.

Part 3 of 3

Exit ticket

Quick comprehension check

Given the rational function f(x) = (3x)/(x² - 9), identify the vertical and horizontal asymptotes. Explain how you determined their locations. For the rational function g(x) = (4)/(x² - 1), find the vertical and horizontal asymptotes. Describe the behavior of the function as it approaches these asymptotes.

Sample answer included in the free materials

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