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Q. 75.0( 6 Votes )

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Class 12th RD Sharma - Volume 1 17. Increasing and Decreasing Functions

Answer :

We have,

Case 1

When x [0,)

Let >

⇒

⇒

⇒

f(x₁) < f(x₂)

⇒ f(x) is decreasing on[0,∞).

Case 2

When x (-,0]

Let >

⇒

⇒

⇒

⇒

f(x) is increasing on(-∞,0].

Thus, f(x) is neither increasing nor decreasing on R.

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