If a function f: \mathbb{Z} \rightarrow \mathbb{Z} is defined by f(x)=x-(-1)^x, then f(x) is [AP EAPCET 21 May 2025 S2]

Correct Answer is : both one-one and onto

Functions

Section: Mathematics

Question : 7 of 33

Marks: +1, -0

If a function f:ℤ⟶ℤ is defined by f(x)=x−(−1)x, then f(x) is

[AP EAPCET 21 May 2025 S2]

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x−1,‌	x∈‌ even ‌
x+1,‌	x∈‌ odd ‌