Question

What is the range of the function y = x2

Answer 1

The range is [0, +oo)
.................................

Answer 2

The range of the function is [0,∞) or y≥0.

Explanation:

The given function is

`y=x^2`

Domain is the set of all possible input and range is the se t of all possible outputs.

We the value of y is equal to the square of x. We know that the square of any real number is always positive.

`x^2\geq 0`

`y\geq 0`

It means the value of y is always greater than or equal to 0 for any real value of x. So, the range of the function is all positive real numbers including 0.

Range = y≥0, y∈R

Range = [0,∞)

Therefore the range of the function is [0,∞) or y≥0.