1. ## exponential functions

The equation y=b^x is an exponential function. If the graph of the function is a smooth curve, why cant the value of b be negative?

2. ## Re: exponential functions

Originally Posted by mmmk
The equation y=b^x is an exponential function. If the graph of the function is a smooth curve, why cant the value of b be negative?
Just as $\sqrt{b}$ is not defined if $b<0$ then $b^x$ is not defined if $b<0~\&~x=\tfrac{1}{2}$.

3. ## Re: exponential functions

ohh. thank you!