#### Find

Search for over 100,000 study notes and past assignments!

#### Study

Study from your library anywhere, anytime.

# Mathematical investigation – Rational functions

## Mathematical Methods

7 Pages Essays / Projects Year Uploaded: 2022

A rational function is any function that can be defined using a rational fraction, this is an algebraic faction which consist of polynomials for both the numerator and the denominator. An asymptote is a line or curve that acts as a limit for another line or curve as it approaches infinity. This mathematical investigation aims to explore the three different types of asymptotes, which are Vertical asymptotes, horizontal asymptotes and oblique asymptotes. They will be explored in four different types of rational function, in the form of 𝑝𝑝(𝑥𝑥) 𝑞𝑞(𝑥𝑥) , where 𝑝𝑝(𝑥𝑥) and 𝑞𝑞(𝑥𝑥) would be either linear or quadratic. This investigation divided in to three parts: Part A, which explores what vertical asymptotes are how they are found, Part B, which explores what horizontal asymptotes are how they are found and Part C, which explores what oblique asymptotes are and how they are found. The conceptual understanding and skills developed and demonstrated through the following parts of the investigation are applicable in the real-world context which require, for instance, equation representing direct, inverse and joint variation. The process used to solve the problem rely on the use of technology as well as mathematical concepts. Specifically, the Desmos graphing software is used to draw and display the functions, a Casio CG-50 graphics calculator was used to calculate the asymptotes as well verify results. Mathematical techniques and skills including long polynomial divisions, null factor law, algebra and substitution to get the result as needed.

##### This document has been hand checked

Every document on Thinkswap has been carefully hand checked to make sure it's correctly described and categorised. No more browsing through piles of irrelevant study resources.

##### This is an Essay / Project

Essays / Projects are typically greater than 5 pages in length and are assessments that have been previously submitted by a student for academic grading.

##### Satisfaction Guarantee

We want you to be satisfied with your learning, that’s why all documents on Thinkswap are covered by our Satisfaction Guarantee. If a document is not of an acceptable quality or the document was incorrectly described or categorised, we will provide a full refund of Exchange Credits so that you can get another document. For more information please read Thinkswap's Satisfaction Guarantee.

Studying from past student work is an amazing way to learn and research, however you must always act with academic integrity.

This document is the prior work of another student. Thinkswap has partnered with Turnitin to ensure students cannot copy directly from our resources. Understand how to responsibly use this work by visiting ‘Using Thinkswap resources correctly’.

#### Similar documents to "Mathematical investigation – Rational functions " avaliable on Thinkswap

Documents similar to "Mathematical investigation – Rational functions " are suggested based on similar topic fingerprints from a variety of other Thinkswap Subjects