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Rational Functions Graphs and Key Properties

Rated 5 out of 5, based on 16 reviews
5.0 (16 ratings)
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Joan Kessler
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Grade Levels
9th - 12th
Standards
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  • PDF
Pages
15 including keys
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Description

Your students will practice finding the key properties of Rational Functions and Their Graphs. There are 11 problems for your students to solve plus a blank problem template for you to customize or create an assessment or homework.

Students graph the function and find the:

  • domain
  • range
  • horizontal asymptotes
  • vertical asymptotes
  • holes
  • x – intercepts
  • y-intercepts
  • slant asymptotes when applicable. I have included slant (oblique) asymptotes on two problems. These can be omitted if that topic is not in your curriculum.

I have included two sizes of the resource for your convenience, 2 to a page and 4 to a page, which can be pasted into interactive notebooks. The concept map organizers can also be used as Task or Station Cards.

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★ Graphing Rational Functions - Asymptotes and Graphing Flip Book Foldable

★ Rational Functions - 50 Task Cards plus Quiz

★ Graphing and Properties of Absolute Value Functions Organizer Task Cards Stations

★ Graphing and Properties of Exponential Functions Organizer Task Cards Stations

★ Graphing and Properties of Quadratic Functions - Concept Map Organizer Interactive Notebook pages

★ Graphing and Properties of Polynomial Functions Organizer Task Cards Stations

★ Graphing and Properties of Logarithmic Functions Organizer Task Cards Stations Guided Notes

__________________________________________________

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LICENSING TERMS: The purchase of a license for this resource is for use by one teacher only for his or her students only. No part of this resource is to be shared with colleagues or used by an entire department, school, or district without purchasing the proper number of licenses. Please respect my hard work and do not share.

COPYRIGHT TERMS: ©2017-2023 Joan Kessler (joansworldofmath™). This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Total Pages
15 including keys
Answer Key
Included
Teaching Duration
N/A
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Standards

to see state-specific standards (only available in the US).
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If 𝘧 is a function and 𝘹 is an element of its domain, then 𝘧(𝘹) denotes the output of 𝘧 corresponding to the input 𝘹. The graph of 𝘧 is the graph of the equation 𝘺 = 𝘧(𝘹).
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function 𝘩(𝘯) gives the number of person-hours it takes to assemble 𝘯 engines in a factory, then the positive integers would be an appropriate domain for the function.
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

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