# How do you determine if the equation y=2^x represents exponential growth or decay?

Mar 13, 2016

It represents a growth.

#### Explanation:

You can try observing what happens to $y$ when $x$ increases.
Say that you choose for $x$ the increasing values $1 \mathmr{and} 3$;
You'll get for $y$ the increasing values $2 \mathmr{and} 8$;
What if you are in the negative range?
Let us choose increasing negative $x$ values, say, $- 3 \mathmr{and} - 1$;
You get for $y$ the increasing values $0.125 \mathmr{and} 0.5$.