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# Rational Functions

A rational function can have a variable like "x" in the numerator AND the denominator. When this happens, there are some special rules and properties to consider.

# Rational Functions - Asymptotes

If the asymptotes of the curve $y=\frac{6x+10}{x+1}$ are $$x=a$$ and $$y=b$$, what is the value of $$a+b$$?

If the graph of $y=\frac{ax-4}{x+b}$ does not intersect either of the lines $$x=4$$ or $$y=-4$$, what is the value of $$ab$$?

If the asymptotes of the curve $y-1=\frac{5x-18}{x-5}$ are $$x=a$$ and $$y=b$$, what is the value of $$a+b$$?

If the asymptotes of the curve $y=-\frac{1}{x-4}+3$ are $$x=a$$ and $$y=b$$, what is the value of $$a+b$$?

If the asymptotes of the curve $y=-\frac{1}{x-4}+11$ are $$x=a$$ and $$y=b$$, what is the value of $$a+b$$?

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