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Consider the function f(x)=max x^(2), [(...

Consider the function `f(x)=max x^(2),` `[((1-x)^(2),2x(1-x))],x in [0,1]`
The interval in which f(x) is increasing, is

A

`((1)/(3),(2)/(3))`

B

`((1)/(3),(1)/(2))`

C

`(0,(1)/(3))cup((1)/(2),(2)/(3))`

D

`((1)/(3),(1)/(2))cup((2)/(3),1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (Passage Based Questions)
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  2. Let f(x) = Max. {x^2, (1 - x)^2, 2x(1 - x)} where x in [0, 1] If Rol...

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  7. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

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  13. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  14. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  18. consider the function f(x)=(x^(2))/(x^(2)-1) f has

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