### Home > APCALC > Chapter 4 > Lesson 4.2.5 > Problem4-102

4-102.

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

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.

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