If f - - 0 - - - f x - x 2 - x - R then f is

The correct option is B Ontoit is a onto function because #10;for every value of y between 0 to infinity there exists a value of x. #10; #10;for it to be ...

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Standard XII

Mathematics

Definition of Function

If f : [ 0 ...

Question

If $f : [0, \infty) \to f (x) = x^{2}, x \in R$ then $f$ is

Onto

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One-One

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Bijective

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Surjective

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Solution

The correct option is B Onto
it is a onto function because for every value of y between 0 to infinity there exists a value of x.

for it to be an onto function if there exists one value of x for a unique y then its enough.

in this case we have two values of x for one value of y

example: $y = 25$

$x = r o o t (25) = + / - 5$

$∴$ given function is onto.

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If f:[0,∞)→f(x)=x2,x∈R then f is

If $f : [0, \infty) \to f (x) = x^{2}, x \in R$ then $f$ is