Question

Use a graph to determineA. Open intervals on which the function is increasing if anyB. Open intervals on which the function is decreasing if anyC. Open intervals in which the function is constant if any

Answer 1

`\begin{gathered} A)\text{Increasing: (0,}\infty) \\ B)\text{decreasing: (-}\infty,0) \end{gathered}`

c)there are not interval in which the function is constant

Step-by-step 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

`\text{Increasing: (0,}\infty)`

and

b) decreasing

`\text{decreasing: (-}\infty,0)`

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