6.8 Chapter summary
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6.8 Chapter summary (EMA5K)

Characteristics of functions:

The given \(x\)value is known as the independent variable, because its value can be chosen freely. The calculated \(y\)value is known as the dependent variable, because its value depends on the \(x\)value.

The domain of a function is the set of all \(x\)values for which there exists at most one \(y\)value according to that function. The range is the set of all \(y\)values, which can be obtained using at least one \(x\)value.

An asymptote is a straight line, which the graph of a function will approach, but never touch.


Special functions and their properties:

Linear functions of the form \(y=ax+q\).

Parabolic functions of the form \(y=a{x}^{2}+q\).

Hyperbolic functions of the form \(y=\frac{a}{x}+q\).

Exponential functions of the form \(y=a{b}^{x}+q\).

Trigonometric functions of the form
\(y=a\sin\theta +q\)
\(y=a\cos\theta +q\)
\(y=a\tan\theta +q\)

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