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Derivative of One Function w.r.t Another

21. The funct...

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21. The function f:R-R which is defined as f(X) = (x-1)(x-2)(x-3) is 1) One-one but not onto 2) Onto but not one-one 3)Both one-one and onto 4) Neither one-one nor onto

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Q. The function

f : R \to R

f (x) = (x - 1) (x - 2) (x - 3)

is
(a) one-one but not onto
(b) onto but not one-one
(c) both one and onto
(d) neither one-one nor onto

Q. The function f : R

\to

Rdefined by f(x) =(x - 1)(x - 2)(x - 3) is

f : R \to R

be a function defined by

f (x) = \frac{x^{2} - 8}{x^{2} + 2}

. Then, f is
(a) one-one but not onto
(b) one-one and onto
(c) onto but not one-one
(d) neither one-one nor onto

Q. The function f : R

\to

Rdefined by f(x) =(x - 1)(x - 2)(x - 3) is

Q. The function

f : R \to R

f (x) = x^{3} + 2

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