Chapter 12 - Exponential Functions and Logarithmic Functions - 12.2 Exponential Functions - 12.2 Exercise Set - Page 795: 5

False.

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 $a.$ All graphs of $f(x)=a^{x}$ go through the $y$-intercept $(0,1)$. All graphs of $f(x)=a^{x}$ have the $x$-axis as the horizontal asymptote. The statement has an error ( not the y-axis.... should be : x-axis)