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
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