Determine the intervals on which the function is increasing

Determine the interval(s) on which the function is increasing.

A. (–1, 3)

B. (–2, 4)

Solution

A function is increasing in a region a < x < b if its slope [or first derivative of the function] is positive in region a < x < b.

This is to say that for an increase in the value of x, the value of the function increments positively by some amount.

Here, for the given function, this is true for the interval - 2 < x < 4. Thus the function is increasing in the region [-2,4].