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17. Increasing and Decreasing Functions
Home · Class 12 · Maths · Ref. Book · 17. Increasing and Decreasing Functions
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Q5 of 105 Page 17

Show that is a decreasing function on (0, ∞).

we have


let x1,x2 (0,) We have, x1 > x2


⇒


⇒ f(x1) < f(x2)


Hence, x1 > x2⇒ f(x1) < f(x2)


So, f(x) is decreasing function


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Prove that f(x) = ax + b, where a, b are constants and a > 0 is an increasing function on R.

4

Prove that f(x) = ax + b, where a, b are constants and a < 0 is a decreasing function on R.

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Show that decreases in the interval [0, ∞) and increases in the interval (-∞, 0].

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Show that is neither increasing nor decreasing on R.

Questions · 105
17. Increasing and Decreasing Functions
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