Answer
(a) increasing $(-\infty,0.50)$ and decreasing $(0.50,\infty)$.
(b) $(0, 1.78]$
Work Step by Step
We graph the function as shown in the figure. The function has a horizontal asymptote of $y=0$
and a maximum at $(0.50,1.78)$.
(a) the intervals on which the function is increasing or decreasing and
As can be seen from the graph, the function increases in the region of $(-\infty,0.50)$
and decreases in the region of $(0.50,\infty)$.
(b) the range of the function.
Based on the graph, the range of the function can be found as $(0,1.78]$
