Question

Find the intervals in which the function f given by f(x) = 2x² − 3x is

(a) strictly increasing (b) strictly decreasing

Answer 1

The given function is f(x) = 2x² − 3x.

Now, the pointdivides the real line into two disjoint intervals i.e., and

In interval

Hence, the given function (f) is strictly decreasing in interval.

In interval

Hence, the given function (f) is strictly increasing in interval.