#### Answer

True.

#### Work Step by Step

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.
For $0\lt a\lt 1$, the graph of $f(x)=a^{x}$ decreases from left to right.
The smaller the value of $a$, the steeper the curve.
True.