6.8 Chapter summary
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6.8 Chapter summary (EMA5K)
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Characteristics of functions:
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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.
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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.
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An asymptote is a straight line, which the graph of a function will approach, but never touch.
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Special functions and their properties:
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Linear functions of the form \(y=ax+q\).
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Parabolic functions of the form \(y=a{x}^{2}+q\).
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Hyperbolic functions of the form \(y=\frac{a}{x}+q\).
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Exponential functions of the form \(y=a{b}^{x}+q\).
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Trigonometric functions of the form
\(y=a\sin\theta +q\)
\(y=a\cos\theta +q\)
\(y=a\tan\theta +q\)
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