An in-depth summary of the different functions and gives examples of each. It also has my own questions and the memo after the theory of each function. You will be super prepared with these notes and they will help you in your preparation for your next Mathematics Paper 1 Exam.
Domain: all the valid x=values of a graph
Range: all the valid y-values of a graph
Functional notation:
𝑓(𝑥) = 3𝑥
f(x) is used to represent the output value. (y-value)
f is used to name the function
(x) represents the x value that will be substituted
into the equation to calculate the y value for the
graph.
Decreasing and increasing functions:
▪ If the y- values get bigger as the x values get bigger – GRAPH IS INCREASING
▪ If the y- values become smaller as the x-values get bigger – GRAPH IS
DECREASING
Interval notation:
*Can be used for range, domain, and interpretation questions
[Can only be used to represent interval of real numbers)
E.g. (4;12)
This interval includes all real numbers greater than but not equal
to 4 and less than but not equal to 12
▪ Round brackets indicate the number is not included <>= )
▪ Round brackets always used for positive and negative infinity
▪ Square brackets indicate the number is included ≤≥ = ]
Functions can be represented as: Words, Mapping diagram, table, coordinates,
algebraic formula and in a graph.
Symmetrical axis are the lines that gives you a mirror image of the graph
3
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 or Stuvia-credit 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 AL0803. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $9.71. You're not tied to anything after your purchase.
