What is the range of the function y = x²?

Solution:

Given function y = x²

Range of a function is defined as the set of all values of y(output) when x is given values

For example, for the function f(x) = x² on the domain of all real numbers (x ∈ R), the range is the non-negative real numbers, which can be written as f(x) ≥ 0 (or [0, ∞) using interval notation).

Since the x term here is squared, for all integers values of x, we definitely get positive values(0 or greater)

Therefore, the range of y = x² is (0, ∞)

What is the range of the function y = x²?

Summary:

The range of the function y = x² is (0, ∞).