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The function f(x)={:{(x+2,ifxlt-1),(x^(2...

The function `f(x)={:{(x+2,ifxlt-1),(x^(2),if-1lexle1),((x-2)^(2),ifxge1):}`

A

is continuos for all `x in R`

B

is continuos but not differentiable, `AAax in R`

C

is such that f'(x) change its sign exactly twice

D

has two local maxima and two local minima

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The correct Answer is:
A, B, D
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  15. A function f is defined by f(x) = int0^pi cos t cos(x-t)dt,0 <= x <= 2...

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