Explanation:
F(x) = 0whenx≤0-xwhenx>0 and F1(x) = xwhenx<00whenx≥0
Therefore, replacing x by (−x) in above functions, we get
F(-x) = 0whenx≥0xwhenx<0 and F1(x) = -xwhenx>00whenx≤0
Clearly, F1(x) = F(−x), hence, option (b) is the correct choice.
Alternate solution: F1(-2) = −2 = F(2) and F1(2) =0 = F(−2).
So the correct option is (b), i.e. F1(x) = F(−x)
Hence, option (b).
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