Answer:
The range of the function is [0,∞) or y≥0.
Step-by-step explanation:
The given function is
[tex]y=x^2[/tex]
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.
[tex]x^2\geq 0[/tex]
[tex]y\geq 0[/tex]
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 | y≥0, y∈R}
Range = [0,∞)
Therefore the range of the function is [0,∞) or y≥0.