# How do you find the intercepts, asymptotes and graph y=3^x+2?

Dec 2, 2016

y-intercept is 0. y = 2 is the ( horizontal ) asymptote. The exponential- growth graph is inserted

#### Explanation:

$y > 2$.

y-intercept ( x = 0 ) is 3.

As $x \to \infty , y \to \infty$.

As $x \to - \infty , y \to 2$.

The graph reveals the asymptoticity between the curve and y = 2.

graph{y-3^x-2=0 [-76.1, 76.05, -38.1, 37.95]}