Precalculus (6th Edition) Blitzer

The function values are largely positive with increasing magnitude, as x approaches $-2$ from the left. The function values become larger without bounds, as x approaches $-2$ from the right.
According to the condition, when x approaches −2 from the left, then $f\left( x \right)$ increases without bound on the y-axis, that is, it increases up to positive infinity on the y-axis. However, it approaches negative infinity on the y-axis, when x approaches −2 from the right. By using limits, this can be shown as: $\underset{x\to -{{2}^{-}}}{\mathop{\lim }}\,f\left( x \right)=\infty$ and $\underset{x\to -{{2}^{+}}}{\mathop{\lim }}\,f\left( x \right)=-\infty$ Thus, as x approaches -2 from the left, the value of the function keeps on increasing without bounds, and when it approaches from the right, it becomes largely negative.