# What is the domain of y=e^-x-10?

May 28, 2018

$\left(x | x \text{ is } \mathbb{R}\right\}$ or $\left(- \infty , \infty\right)$

#### Explanation:

Domain has no restrictions so it is all real numbers:

$\left(x | x \text{ is } \mathbb{R}\right\}$ or $\left(- \infty , \infty\right)$

Range is more interesting, it has a asymptote at -10 so it gets closer and closer to -10 but never gets there so it is:

$\left\{y | y > - 10\right\}$ or $\left(- 10 , \infty\right)$

graph{e^(-x)-10 [-13.58, 26.42, -12.96, 7.04]}