Answer
(a) Domain: $(0,3)$; Range: $(-\infty, 2)$
(b) $x$-intercept: $(1,0)$
(c) no symmtery
Work Step by Step
The given graph will pass the vertical-line test since all vertical lines will pass the through the graph at a maximum of one point only. Thus, the given graph represents a function.
(a) Domain: $(0,3)$
Range: $(-\infty, 2)$
(b) The graph has an $x$-intercept at $(1,0)$ but has no $y$-intercept.
(c) The graph is not symmteric to either axis and is also not symmetric with respect to the origin.