CPM Homework Help : APCALC Problem 4-102

A function $f$ is a continuous, odd, and $\lim\limits _ { x \rightarrow - \infty } f ( x ) = 5$ . Sketch a graph of $y = f\left(x\right)$ .

Hint:

For an odd function, $–f\left(x\right) = f\left(–x\right)$ . This means that your graph should be the same in quadrants I and III or in quadrants II and IV.

More Help:

The given limit statement implies that there is a horizontal asymptote of $y = 5$ as $x → –∞$ .