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Graphing Rational Functions

Kevin Helms

Created on March 12, 2025

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RATIONAL FUNCTIONS graphing

OUTCOMES

13 - 1 : Students will be able graph rational functions by simplifying the rational function, then determine the zeros, y-intercepts, vertical and horizontal asymptotes, and holes.

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NOTES

PRACTICE

OUTCOMES

Key Features

Full Graphing Guide

The "Full Graphing Guide" contains a LOT of information. Please refer to the notes section for specific information on what you need to do to graph these functions.

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Advanced

Intermediate

Basic

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PRACTICE

Basic

Graph the rational function.

Outcome 13-1

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PRACTICE

Intermediate

Graph the rational function.

Outcome 13-1

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PRACTICE

Advanced

Graph the rational function.

Outcome 13-1

There are no Advanced-Level questions for this outcome.

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Zeros: N/A y-intercept: (0, -8/9) V. Asymptote: x=9 H. Asymptote: y=0 Holes: (2, -8/7) Domain: {x|x≠2, 9} Range: {y|y≠0, -8/7}

zeros: N/A y-intercept: (0, 4/3) V. Asymptote: x=-3 H. Asymptote: y=0 Holes: (8, 4/11) Domain: {x|x≠-3, 8} Range: {y|y≠0, 4/11}

Zeros: (-1, 0) y-intercept: (0, -4/3) V. Asymptote: x=3 H. Asymptote: y=4 Holes: (8, 36/5) Domain: {x|x≠3, 8} Range: {y|y≠4, 36/5}

Zeros: (4,0) y-intercept: (0, 4/7) V. Asymptote: x=7 H. Asymptote: y=1 Holes: (-7, 11/14) Domain: {x|x≠-7, 7} Range: {y|y≠1, 11/14}