Respuesta :

mhanifa

Step-by-step explanation:

The graphed function has its local maximum at x = - 1 and local minimum at x = 2.

The function is decreasing between those points and increasing outside.

The increasing intervals are

  • x ∈ (- ∞, - 1) ∪ (2, + ∞)
semsee45

Answer:

(-∞, -1)  and  (2, ∞)

Step-by-step explanation:

A function is increasing when the slope is positive (y gets bigger as x gets bigger)

A function is decreasing when the slope is negative (y gets smaller as x gets bigger)

At the turning points (stationary points) the slope is zero.

Therefore, from inspection of the graph:

  • increasing →  (-∞, -1)
  • decreasing  →  (-1, 2)
  • increasing  →  (2, ∞)

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