Question

Analyze and sketch the graph of each function.

Analyze and sketch the graph of each function. Local intercepts, relative extrema, points of inflection and asymptotes. State for each problem the following: domain, range, intercepts, symmetry, asymptotes (horizontal and/or vertical asymptotes), critical numbers, points of inflection. 


a. \(Y=x^{2}+1 / x^{2}-9\)

b. \(Y=x^{2} / x^{2}+3\)

c. \(\mathrm{Y}=\frac{1}{3}\left(x^{2}-3 x+2\right)\)

d. \(\mathrm{F}(\mathrm{x})=\frac{1}{x e^{x}}\)

e. \(F(x)=x^{5}-5 x\)

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