Discussion

Explanation:

F(x) = 0 when x0x when x<0 and F1(x) = -xwhenx>00    whenx0

Therefore, replacing x by (−x) in above functions, we get

F(-x) = 0     when x0-x  when x>0 and F1(-x) = x when x<00 when x0

Clearly, F1(x) = F(−x), hence, option (b) is the correct choice.

Alternate solution:
F1(-2) = 0 = F(2) and F1(2) = −2 = F(−2).

So the correct option is (b), i.e. F1(x) = F(−x).

Hence, option (b).

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