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Let f(x) = x² in R, then the range of f will be:
Question

Let f(x) = x² in R, then the range of f will be:

A.

negative real numbers

B.

non negative numbers

C.

positive real numbers

D.

integers

Correct option is B

Given:
f(x) = x2
Solution:
f(x) = x2
=> y = x2 => x = ​± y\sqrt y​​
=> y < 0 there is no real value of x
=> y ≥ 0
=> Range of f = [0, ∞]
∴ The range of f will be non negative numbers (Since Zero is also in the range)

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