Answer
(a) increasing on $(−1.44, \infty)$ and decreasing on $(-\infty, -1.44)$.
(b) $(-0.53, \infty)$.
Work Step by Step
We graph the function as shown in the figure. The function has a horizontal asymptote of $y=0$
and a minimum at $(-1.44,-0.53)$.
(a) As can be seen from the graph, the function increases in the region of $(−1.44, \infty)$
and decreases in the region of $(-\infty, -1.44)$.
(b) Based on the graph, the range of the function can be found as $(-0.53, \infty)$.
