Question

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Answer 1

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.

Increasing interval

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, ∞)