Find the domain and range of the function F : R → R : f(x) = x 2 + 1.

Question

Philoid · Accepted Answer

Since the function f(x) can accept any values as per the given domain R, therefore, the domain of the function f(x) = x² + 1 is R.

The minimum value of f(x) = 1

⇒Range of f(x) = [ - 1,∞]

i.e range (f) = {y ∈ R : y ≥ 1}

Ans: dom (f) = R and range (f) = {y ∈ R : y ≥ 1}