Determine the intervals on which the function is increasing decreasing and constant for the given graph.

A function is defined as the change in the output value with respect to input where the output variable is dependent upon the input variable.

Answer: The intervals on which the function is increasing and decreasing are (-∞,3] and [3,∞) respectively. Also, there is no interval where the function is constant.

Let's analyze the given function.

Explanation:

Let's look into the graph below.

From the above graph, we see that the function starting from negative infinity increases till point A(3,0), that is, the value of y-coordinate increases with an increase in x-coordinate value. The interval is represented as (-∞,3]

From point A(3, 0), the function starts decreasing and continues moving towards infinity, that is, the value of y-coordinate decreases with an increase in x-coordinate value. The interval is represented as [3,∞).

Also, there is no interval where the function is constant.

Thus, the interval of function increasing is (-∞,3] and the interval of function decreasing is [3,∞).