14 what is the interval of increase/decrease for the following function? a inc: (-2, -1) dec: (-1, -2) b…

14 what is the interval of increase/decrease for the following function? a inc: (-2, -1) dec: (-1, -2) b inc: (-1, ∞) dec: (-∞, -1) c inc: (-∞, 3) dec: (3, ∞) d inc: (-2, ∞) dec:(-∞, -2)

14 what is the interval of increase/decrease for the following function? a inc: (-2, -1) dec: (-1, -2) b inc: (-1, ∞) dec: (-∞, -1) c inc: (-∞, 3) dec: (3, ∞) d inc: (-2, ∞) dec:(-∞, -2)

Answer

Explanation:

Step1: Recall function increase - decrease rules

A function is increasing when the graph goes up from left - to - right and decreasing when it goes down from left - to - right.

Step2: Analyze the given graph

The vertex of the parabola is at (x=-1). To the left of (x = - 1) (i.e., for (x\in(-\infty,-1))), the function is decreasing as the graph goes down from left - to - right. To the right of (x=-1) (i.e., for (x\in(-1,\infty))), the function is increasing as the graph goes up from left - to - right.

Answer:

B. Inc: ((-1,\infty)) Dec: ((-\infty,-1))