Chapter 12.4, Problem 15E

(a)

To determine

To calculate: The $x$ and $y$ intercepts of the provided function $g\left(x\right)=\frac{x^3}{\left(x^2+3\right)}$.

(b)

To determine

To calculate: The points of extrema for the provided function $g\left(x\right)=\frac{x^3}{\left(x^2+3\right)}$.

(c)

To determine

To calculate: The points of inflection for the provided function $g\left(x\right)=\frac{x^3}{\left(x^2+3\right)}$.

(d)

To determine

The behavior near singular points of the function $g\left(x\right)=\frac{x^3}{\left(x^2+3\right)}$.

(e)

To determine

The behavior at infinity for the provided function $g\left(x\right)=\frac{x^3}{\left(x^2+3\right)}$.