Question

F: R -> R, f (x) = 2/x. Is this function:
(a) one - one
(b) onto
(c) bijective
(d) not defined

Answer 1

Answer:

A) one - one function.

Step-by-step explanation:

$f(x) = \frac{2}{x}$

If x = 1

$f(1) = \frac{2}{1} = 2$

If x = 2

$f(2) = \frac{2}{2} = 1$

If x = 3

$f(3) = \frac{2}{3}$

$Range={(1,2),(2,1),(3, \frac{2}{3}) }$

Different elements in the domain has only one pre-image in the co domain.

Therefore, it is a function. One - one function .

Reason:

Because it has only one pre-image in the co domain.