[tex]\begin{gathered} A)\text{Increasing: (0,}\infty) \\ B)\text{decreasing: (-}\infty,0) \end{gathered}[/tex]
c)there are not interval in which the function is constant
Explanation
Step 1
The interval is increasing if the value of the function f(x) increases with an increase in the value of x and it is decreasing if f(x) decreases with a decrease in x
so,let's check the graph
so, we can see the function is increasing starting at zero,so
[tex]\text{Increasing: (0,}\infty)[/tex]
and
b) decreasing
[tex]\text{decreasing: (-}\infty,0)[/tex]
when a function is constant , the graph is a horizontal line, we can't see any horizontal line in eh graph, so we can conclude
there are not intervals in which the function is constant
I hope this helps you
