UPSEE Solved Model Paper 3

Since f (x) = |x| - {x}

Since f (x) is decreasing
∴ f' (x) < 0
⇒ |x| - {x} < 0
⇒ |x| < {x}
From figure , x ∊ (−

1

2

,0)
From graph, it is clear that, f (x) has local maxima at x = 1