2 years ago

What are some characteristics of the graph of a rational function?

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3 0

One of the main characteristics of rational functions is the existence of asymptotic. An asymptotic is a straight line to which the graph of the function gets arbitrarily close. ... Vertical: These are the equations of the straight lines (if any) the one gets by setting the linear factors of Q(x) to 0.

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Can somebody help with these three questions plz

liraira [26]

$\bf \sqrt{2}\left(3\sqrt{2}+\sqrt{18} \right)~~
\begin{cases}
18=2\cdot 3\cdot 3\\
\qquad 2\cdot 3^2
\end{cases}\implies \sqrt{2}\left(3\sqrt{2}+\sqrt{2\cdot 3^2} \right)
\\\\\\
\sqrt{2}\left(3\sqrt{2}+3\sqrt{2} \right)\implies \sqrt{2}\left(6\sqrt{2} \right)\implies 6\left(\sqrt{2}\right)^2\implies 6\cdot 2\implies \stackrel{rational}{12}$