Graphing Techniques - Asymptotes and Discontinuities
Graphing Techniques - Asymptotes and Discontinuities
By carrying out long division to simplify the rational function (if applicable), find the equation(s) of the horizontal asymptote(s) or oblique asymptote(s) for the following curves:
- \(y = \frac{1}{3 - x}\)
- \(y = \frac{2x + 1}{x - 2}\)
- \(y = \frac{x^2}{x - 1}\)
- \(y = \frac{x^2 + 2x - 3}{x + 2}\)
Solution:
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Answer:(a) \(y=0\). (b) \(y=2\). (c) \(y=x+1\). (d) \(y=x\).
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