Question: Sketch the following graphs, and show intercepts, symmetry, behavior as x becomes large, vertical asymptotes, domain, range, and derivatives for each thing underlined, explain each in a short summary :

(X) \(y=\frac{2}{x+1}\)

(Y) \(y=x^{2}+\frac{2}{x}\)

(Z) \(y=x-\frac{1}{x}\)

(AA) \(y=\frac{x^{2}}{x+1}\) (?

(BB) \(y=\frac{1}{x^{2}-1}\)

(CC) \(y=\frac{4}{x}-\frac{4}{x^{2}}\)

(DD) \(y=x \sqrt{1-x^{2}}\)

(EE) \(y=\frac{9 x}{9-x^{2}}\)

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