Chapter 12 - Exponential Functions and Logarithmic Functions - 12.2 Exponential Functions - 12.2 Exercise Set - Page 794: 1

True.

The function $f(x)=a^{x}$, where $a$ is a positive constant, $a\neq 1$, and $x$ is any real number, is called the exponential function, base $a.$ Since $f(0)=a^{0}=1$, for $a\neq 0,$ the point $(0,1)$ is on the graph, regardless of the choice of $a.$ The statement is true.