isi-entrance 2016 Q47

isi-entrance · India · UGB 4 marks Composite & Inverse Functions Injectivity, Surjectivity, or Bijectivity Classification

Let $\mathbb { R }$ be the set of all real numbers. The function $f : \mathbb { R } \rightarrow \mathbb { R }$ defined by $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 6 x - 5$ is
(A) one-to-one, but not onto
(B) one-to-one and onto
(C) onto, but not one-to-one
(D) neither one-to-one nor onto

Let $\mathbb { R }$ be the set of all real numbers. The function $f : \mathbb { R } \rightarrow \mathbb { R }$ defined by $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 6 x - 5$ is\\
(A) one-to-one, but not onto\\
(B) one-to-one and onto\\
(C) onto, but not one-to-one\\
(D) neither one-to-one nor onto

Paper Questions

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