Chapter 2: Limits and Continuity - Section 2.6 - Limits Involving Infinity; Asymptotes of Graphs - Exercises 2.6 - Page 99: 106

See graph and explanations.

See graph; when $x\to-2^+, y\to-\infty$ or $\lim_{x\to -2^+}\frac{-1}{\sqrt {4-x^2}}=-\infty$; while when $x\to2^-, y\to-\infty$ or $\lim_{x\to 2^-}\frac{-1}{\sqrt {4-x^2}}=-\infty$; the asymptotes of the function are $x=-2$, and $x=2$