determine the interval(s) for which the function shown below is increasing. provide your answer below:

Explanation:

Step1: Identify increasing - part of graph

In a graph of a function, a function is increasing when as (x) increases, (y) also increases. Looking at the given parabola - shaped graph, we can see that the function starts to increase from the vertex.

Step2: Locate the vertex

The vertex of the parabola is at the point ((0,1)) (by observing the lowest point of the graph on the coordinate - plane).

Step3: Determine the increasing interval

For (x>0), as (x) values increase, the (y) values of the function increase. So the interval where the function is increasing is ((0,\infty)).

Answer:

((0,\infty))