Answer:
(-2, ∞)
Step-by-step explanation:
A function is "increasing" when its graph goes up to the right, the slope is positive. At a turning point (maximum or minimum), the function is neither increasing nor decreasing.
<h3>Increasing interval</h3>
The graph has a minimum at x = -2. To the left of that point, the graph goes up to the left, which is the same as down to the right (decreasing).
To the right of x = -2, the graph goes up to the right (increasing). It continues to increase for all values of x > 2. The interval where the function is increasing is said to be ...
-2 < x < ∞
The lack of "or equal to" tells you the interval is "open" and is delimited by parentheses in interval notation:
increasing; (-2, ∞)
