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HPC WB5.7 - Rational Function End Behavior

Last updated about 5 years ago

6 questions

1

Question 1

1.

State the horizontal/slant asymptote(s) and find \lim\limits_{x\to\infty} f(x) and \lim\limits_{x\to-\infty} f(x) of f(x)=\frac{-x^2-3x+4}{x^2+x-6}.

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Question 2

2.

State the horizontal/slant asymptote(s) and find \lim\limits_{x\to\infty} f(x) and \lim\limits_{x\to-\infty} f(x) of f(x)=\frac{x+4}{-x^2-6x-8}.

Question 3

3.

State the horizontal/slant asymptote(s) and find \lim\limits_{x\to\infty} f(x) and \lim\limits_{x\to-\infty} f(x) of f(x)=\frac{x^3+x^2-12x}{-2x^2+8}.

Question 4

4.

State the horizontal/slant asymptote(s) and find \lim\limits_{x\to\infty} f(x) and \lim\limits_{x\to-\infty} f(x) of f(x)=\frac{1}{3x-6}.

Question 5

5.

State the horizontal/slant asymptote(s) and find \lim\limits_{x\to\infty} f(x) and \lim\limits_{x\to-\infty} f(x) of f(x)=\frac{x^2-3x+2}{4x-12}.

Question 6

6.

State the horizontal/slant asymptote(s) and find \lim\limits_{x\to\infty} f(x) and \lim\limits_{x\to-\infty} f(x) of f(x)=\frac{x^2-4}{2x^2-4x}.