Summary
Summary OCR MEI Mathematics: Year 2 Pure - Functions Cheat Sheet
- Institution
- OCR
This document briefly summarises the key points in the Year 2 'Functions' topic of OCR's Mathematics (MEI) course.
[Show more]
1 review
By: tsmith3553 • 1 year ago
Content preview
FunctionsLanguage
● Mapping = rule which associates two sets of items
● Input or Object is something which is to be mapped to something else (the
Output or Image)
● Set of possible inputs of mapping is called domain and the range is the set
of outputs for a particular set of inputs
● Four different types of mapping:
○ One-to-One → each object is mapped to exactly one image
○ One-to-Many → an object may be mapped to two or more different
images
○ Many-to-One → two or more particular
○ Many-to-Many → an object may be mapped to two or more
different images or visa versa
● Function may only have one-to-one or many-to-one mapping
The Modulus Function
● Modulus negates any negative parts of the graph and turns them positive
● I.E any negative parts are reflected in the x-axis to become positive
● Equations can be solved by taking the positive form and the negative form
of the modulus and solving them as two independent functions
● Can also be solved by squaring both sides BUT this can lead to false roots
being created, so must check all roots in original equation
Modulus Inequalities
● An inequality in the form − a < f (x) < a can be written as | f (x) | < a
● An inequality in the form f (x) < − a or f (x) > a can be written as | f (x) | > a
● The inequalities can then be solved as normal
● Often drawing the graph is useful to solve more complicated inequalities
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller JodbyBerundi. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £0.00. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75632 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now