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Question

Question: In [– 1, 2] the function f(x) = \| x \| + \| x – 1\| is –...

In [– 1, 2] the function f(x) = | x | + | x – 1| is –

A

Increasing

B

Decreasing

C

Constant

D

None of these

Answer

None of these

Explanation

Solution

f(x)=[2x+1,1x<01,0x<12x11x<2 f(x) = \left\lbrack \begin{aligned} & –2x + 1,–1 \geq x < 0 \\ & 1,0 \leq x < 1 \\ & 2x–11 \geq x < 2 \end{aligned} \right.\

Neither increasing nor decreasing