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education/math/MATH1060 (trig)/Graphing.md
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@ -108,7 +108,10 @@ $A$, $B$, $C$, and $D$ will have similar meanings to the cosecant function as th
- The vertical asymptotes of cosecant occur at $x = \frac{C}{B} + \frac{\pi}{|B|}k$, where $k$ is an integer. - The vertical asymptotes of cosecant occur at $x = \frac{C}{B} + \frac{\pi}{|B|}k$, where $k$ is an integer.
- The vertical shift is $D$. - The vertical shift is $D$.
# Inverse Functions # Inverse Functions
For any one to one function $f(x) = y$, a function $f^{-1}(y) = x)$. A function is considered one-to-one if every input only has one output, and every output can only be created from a single input.
- The *domain* of $f$ is the *range* of $f^{-1}$.
- The *range* of $f$ is the *domain* of $f^{-1}$.
# Examples # Examples
> Given $-2\tan(\pi*x + \pi) - 1$ > Given $-2\tan(\pi*x + \pi) - 1$