## Algebra: A Combined Approach (4th Edition)

The graph of an exponential function $y=b^x$ contains the point of $(1,b)$ since 1 is in the domain of the function (ie. all real numbers). When $x=1$, $y=b$. Thus, the graph of the function contains the point $(1,b)$.
When $x=1$ is substituted into the function, $y=b^1$, which is equivalent to $y=b$. Thus, $(1,b)$ is a point on the graph of the function $y=b^x$.