Q5 of 41 Page 44

Find the range of each of the following functions.

f(x) = x2 + 2, x is a real number.

Given: f(x) = x2 + 2, x is a real number.

As x2 > 0


⇒ x2 + 2 > 0 + 2


⇒ x2 + 2 > 2


⇒ f(x) > 2


Hence, range of f(x) = [2, ∞).


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