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1.9 Rational functions and vertical asymptotes

Interactive practice questions

Consider the function $f\left(x\right)=\frac{-3}{x+1}$f(x)=3x+1.

a

Write the equation of the vertical asymptote.

b

Write the equation of the horizontal asymptote.

Medium
1min

Consider the function $f\left(x\right)=-\frac{3}{x}-5$f(x)=3x5.

Medium
1min

Consider the function $f\left(x\right)=-\frac{5}{x+5}-9$f(x)=5x+59.

Medium
1min

A graph of the function $f\left(x\right)=\frac{1}{x+6}-3$f(x)=1x+63 is shown below.

Medium
2min
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Outcomes

1.9.A

Determine vertical asymptotes of graphs of rational functions.

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