[Solution Library] "Graph" the function f(x)=(x^2+2)/(x). Use the fact that f'(x)=(x^2-2)/(x^2) ,
Question:
"Graph" the function \[f(x)=\frac{{{x}^{2}}+2}{x}\] . Use the fact that
\[\begin{aligned} & {f}'(x)=\frac{{{x}^{2}}-2}{{{x}^{2}}} \\ & \\ \end{aligned}\] \[\begin{aligned} & {f}''(x)=\frac{4}{{{x}^{3}}} \\ & \\ \end{aligned}\]Find:
- Domain.
- x- and y-intercepts.
- Horizontal asymptotes, if any.
- Vertical asymptotes, if any.
- Critical numbers, intervals when the function is increasing and decreasing.
- Inflection points, concavity.
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Deliverable: Word Document 