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MHF4UI Unit 4: Day 1Date:___ UNIT 4: GRAPHING TRIGONOMETRIC FUNCTIONS SOLVING TRIGONOMETRIC EQUATIONS 4.1 Graphing the Primary and Reciprocal Trigonometric Functions 1. Point P(x, y) is on the terminal
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How to fill out precalculus graphing rational functions

01
Identify vertical asymptotes by setting the denominator of the rational function equal to zero and solving for x.
02
Identify horizontal asymptotes by comparing the degrees of the numerator and denominator of the rational function.
03
Find any x-intercepts by setting the numerator of the rational function equal to zero and solving for x.
04
Determine any holes in the graph by simplifying the rational function and canceling out any common factors between the numerator and denominator.
05
Plot all asymptotes, intercepts, and holes on the graph.
06
Choose additional points to plot on the graph to accurately represent the behavior of the function.

Who needs precalculus graphing rational functions?

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Students studying precalculus or advanced algebra.
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Math enthusiasts looking to deepen their understanding of functions and graphs.
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Individuals pursuing careers in mathematics, engineering, or related fields.
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Precalculus graphing rational functions involves studying functions that can be expressed as the ratio of two polynomial functions and analyzing their graphs, including identifying asymptotes, intercepts, and end behavior.
Students enrolled in precalculus courses or those seeking to deepen their understanding of mathematics concepts related to rational functions are typically required to engage in graphing rational functions.
To graph rational functions, one must identify the function's domain, find asymptotes, determine intercepts, plot key points, and analyze the end behavior. Completing these steps involves a combination of algebraic manipulation and graphical interpretation.
The purpose of graphing rational functions in precalculus is to help students visualize and understand the behavior of these functions, including their transformations and characteristics which lay the groundwork for further studies in calculus.
When graphing rational functions, one should report the function's domain, vertical and horizontal asymptotes, intercepts, and any holes in the graph, along with key points that illustrate the behavior of the function.
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