Find the range of each of the following functions.
f(x) = x² + 2, x is a real number.

Question

Find the range of each of the following functions. f(x) = x 2 + 2, x is a real number.

Philoid · Accepted Answer

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, ∞).

Find the range of each of the following functions.f(x) = x2 + 2, x is a real number.