AP EAPCET 23-Aug-2021 Shift 2 Paper

f:R→R
f(x)=max{x+1,1−x,2}
Since, f(x) contains 2 in range when domain is [−1,1]Hence, it is not one-one.
Since, f(x) does not take any value less than 2 in it's domain.
Hence, Codomain ≠ Range
⇒f(x) is not onto.
Hence, f(x) is neither one-one nor onto.