Chapter 4.1, Problem 54E

(a)

To determine

The value that the function, $f\left(x\right)=\frac{-3x^2}{x^2+6}$, approaches, as the magnitude of $x$ increases.

(b)

To determine

Whether the value of the function, $f\left(x\right)=\frac{-3x^2}{x^2+6}$, is greater than or less than, when $x$ is positive and large in magnitude.

(c)

To determine

Whether the value of the function, $f\left(x\right)=\frac{-3x^2}{x^2+6}$, is greater than or less than, when $x$ is negative and large in magnitude.