# How do you find the y intercept for y = 1 - e^x?

Dec 21, 2015

$\left(0 , 0\right)$

#### Explanation:

A $y$-intercept can be found when $x = 0$.

Plug in $0$ for $x$ in the equation.

$y = 1 - {e}^{0}$

Recall that anything to the $0$ power is $1$.

$y = 1 - 1 = 0$

That means the intercept is at the point $\left(0 , 0\right)$, the origin.

We can check on a graph:

graph{1-e^x [-10, 10, -5, 5]}