How do you find the domain, identify any horizontal, vertical, and slant (if possible) asymptotes and identify holes, x-intercepts, and y-intercepts for $f (x) = \frac{x^{2}}{x - 1}$ $f(x)=(x^2)/(x-1)$ ?

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Answer 1 · 2015-09-13T12:57:26

Refer to explanation

The domain of f(x) is $R - {1}$ $R-{1}$ is the set of all reals except 1.

As $x \to 1$ $x->1$ , $f (x) \to \infty$ $f(x)->oo$ hence x=1 vertical asymptote.

The oblique asymptote for f(x) is $y = x + 1$ $y=x+1$

How do you find the domain, identify any horizontal, vertical, and slant (if possible) asymptotes and identify holes, x-intercepts, and y-intercepts for f(x)=(x^2)/(x-1)f(x)=x2x−1f(x)=(x^2)/(x-1)?