Mathematics

Problem

7. In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer. (i)

f: \mathbf{R} \rightarrow \mathbf{R}

defined by

f(x)=3-4 x

(ii)

f: \mathbf{R} \rightarrow \mathbf{R}

defined by

f(x)=1+x^{2}