Question

What is the range of the function y = x2? all real numbers x ≥ 0 y ≥ 0

Answer 1

The given function is , y = x²

As Domain is that values of x for which y exists, and Range is those values of y for which x exists.

Domain=x ∈ ( -∞ ,∞), as for all real values of x , y is defined.But it is given that, x≥ 0, So domain is (0,∞).

→ x = $\pm\sqrt{y}$

As x is defined for only positive values of y , i.e any real number greater than or equal to zero.

So, range is y≥0→ i.e y∈ (0,∞)

Answer 2

Answer: The domain of y = x^2 is all real numbers- The range of y=x^2 is y >= 0

Step-by-step explanation: