# What is the domain and range of x=y^2?

Sep 16, 2017

Domain: $x \ge 0 \mathmr{and} \left[0 , \infty\right)$ . Range : $y \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

#### Explanation:

${y}^{2} = x \mathmr{and} y = \pm \sqrt{x}$ , Domain: under root should be $\ge 0$

Domain (Input) : Any real value of $x \ge 0 \mathmr{and} \left[0 , \infty\right)$

Range (output) : Any real value , $y \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

graph{x=y^2 [-12.66, 12.65, -6.33, 6.33]} [Ans]