# What is the domain and range of  y=3x^2?

Sep 1, 2015

Domain: $x \in \mathbb{R}$
Range: $y \in \mathbb{R} \left[0 , + \infty\right)$
$y = 3 {x}^{2}$
is defined for all Real values of $x$
$3 {x}^{2} \ge 0 \mathmr{and} \rightarrow + \infty$ as $\left\mid x \right\mid \rightarrow \infty$