Let fx - max- 1-x- 1-x-2- - x - R- then A fx - 1 -x- x - -1 2- -1 - x - 1 1-x- x- 1B fx - 1 -x- x - -1 2- -1 - x - 1 1-x- x- 1C fx - 1 -x- x - -1 1- -1 - x - 1 1-x- x- -1

f( x )=max{ (1 x),(1+x),2} for all xϵ R,then if x≤ 1 1 x=1 ( 1) ≥ 2 1+x=1 1 ≤ 0 ∴ f( x )={ 1 x x≤ 1 2 ...

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Real Valued Functions

Let fx = ma...

Question

Let $f (x) = m a x . {(1 - x), (1 + x), 2}, \forall x \in R .$ then
(A) $f (x) = {1 + x, x \leq - 1 2, - 1 < x < 1 1 - x, x \geq 1}$
(B) $f (x) = {1 - x, x \leq - 1 2, - 1 < x < 1 1 - x, x \geq 1}$
(C) $f (x) = {1 - x, x \leq - 1 1, - 1 < x < 1 1 + x, x \geq - 1}$

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