Answer
(a) Domain: $(-\infty, +\infty)$; Range: $(0, +\infty)$
(b) $y$-intercept is $1$
(c) no symmtery
Work Step by Step
The graph pass the vertical-line test since all vertical lines will pass through the given graph at a maximum of one point only.
(a)
The graph covers the entire $x$ axis so the domain is $(-\infty, +\infty)$
The curve is above the $x$-axis and is asymptotic to the $x$-axis so its range is $(0, +\infty)$.
(b)
The graph does not cross the $x$-axis so it has no $x$-itnercept.
The graph crosses the $y$ axis at $(0, 1)$ so it has a $y$-intercept of $1$
(c)
The graph is not symmetric to the $x$-axis, $y$-axis, and the origin.
