Answer
The graph represents a function.
(a)
Domain: $(-\infty, +\infty)$
Range: $(0, +\infty)$
(b)
x-intercept: none
y-intercept: $1$
(c)
not symmetric with the x-axis, the y-axis, or the origin
Work Step by Step
The graph passes the vertical line test since all vertical lines will pass through the graph at a maximum of one point only.
Thus, the graph represents a function.
(a)
The graph covers the entire x-axis. Thus the domain is $(-\infty, +\infty)$.
The graph only covers the region above the x-axis. Thus, the range is $(0, +\infty)$.
(b)
The graph has no x-intercept as it is asymptotic to the x-axis.
The graph crosses the y-axis at $(0, 1)$ so the y-intercept is $1$.
(c)
The graph does not show symmetry to the x axis, the y axis, or the origin.
