Answer
a. domain = $\mathbb{R}=(-\infty, \infty)$
b. range = $(0, \infty)$
c. graphs:
(i) blue
(ii) red
.
Work Step by Step
The exponential function $f$ with base $a$ (where $a>0,\ a\neq 1$) is defined for all real numbers $x$ by
$f(x)=a^{x}$
The domain of $f$ is $\mathbb{R}$, and the range of $f$ is $(0, \infty)$
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a. domain = $\mathbb{R}=(-\infty, \infty)$
b. range = $(0, \infty)$
c. For example, let
(i) a=2 (blue graph)
(ii) a=$\displaystyle \frac{1}{2}$ (red graph)