The only place that the function is increasing is [-3, -1].
(learn your interval notation).
At x = -3, y = -11
In the increasing intervals of a given function, one must determine the intervals where the function has a positive first derivative. To find these intervals, first, find the critical values or the points at which the first derivative of the function is equal to zero.
at x = -2, y = -6 (-6 is greater than -11);
and at x = -1, y = -1 (-1 is greater than -6).
The next x value, 0, returns a y value of -2.
But -2 is less than -1, the value before it, So it begins decreasing again at x = 0.
To learn more about the interval visit:
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