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Graphs
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FG1 Functions and relations
FG10 (T8) Graphs of sine and cosine functions
Both the functions y = sin x and y = cos x have a domain of R and a range of [-1,1].
FG2 Interval notation
Often the domain of a function will be restricted to a subset of R. This subset is called an interval, and the end points are a and b.
FG3 Inverse notation
If f to the power of -1 times (x) is the inverse function of a one-to-one function f(x) then f to the power of -1 times (x) is the set of ordered pairs obtained by interchanging the first and...
FG4 Absolute value functions
The absolute value of a number x gives a measure of its size or magnitude regardless of whether it is positive or negative. If a number is plotted on a number line then its absolute value can be...
FG5 Hybrid functions
Functions which have different rules for each subset of the domain are called hybrid functions. Sometimes they are referred to as piecewise defined functions.
FG6 (T6) Circular functions
The trigonometric ratios that have been defined in right-angled triangles can be extended to angles greater than 90 degrees
FG7 Linear graphs
Understanding a linear graph is the simplest way of representing data or a functional relationship. This module explains the equations and visuals of a linear graph.
FG8 Quadratic graphs
FG9 Graphs and transformations
The known graphs of some simple functions and relations can be used to sketch related, but more complicated functions.
Functions and graphs
Information about functions and graphs to improve your maths skills in these areas