Analyzing the Graph of a Function In
Exercises 9-36, analyze and sketch a graph of the
function. Label any intercepts, relative extrema,
points of inflection, and asymptotes. Use a graphing
utility to verify your results.
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9. \(y = \frac{1}{x - 2} - 3\)
10. \(y = \frac{x}{x^2 + 1}\)
\(x\)
11. \(y = \frac{x}{1 - x}\)
12. \(y = \frac{x - 4}{x - 3}\)
\(x + 1\)
13. \(y = \frac{x + 1}{x^2 - 4}\)
14. \(y = \frac{2x}{9 - x^2}\)
\(x^2\)
15. \(y = \frac{x^2}{x^2 + 3}\)
16. \(y = \frac{x^2 + 1}{x^2 - 4}\)
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17. \(y = 3 + \frac{2}{x}\)
18. \(f(x) = \frac{x - 3}{x}\)
