Find the values of x for whichis an increasing function.

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Solution

We have,

The points x = 0, x = 1, and x = 2 divide the real line into four disjoint intervals i.e.,

In intervals, .

∴ y is strictly decreasing in intervals .

However, in intervals (0, 1) and (2, ∞),

∴ y is strictly increasing in intervals (0, 1) and (2, ∞).

y is strictly increasing for 0 < x < 1 and x > 2.

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