# How do you find domain and range for y=3x^2?

Oct 25, 2015

Domain = $\mathbb{R}$
Range = $\left[0 , \infty\right)$

#### Explanation:

Since this is a 2nd degree quadratic function, it implies its graph is a parabola and in this case with axis of symmetry at x=0 and y-intercept of 0, with the arms going up.

Therefore the domain is all real values for x, ie $\mathbb{R} = \left(- \infty , \infty\right)$

The range is all y values greater than or equal to zero, ie $y \in \left[0 , \infty\right)$