# How do you find the domain and range for h(x)=x^2+2?

Jan 26, 2016

An explanation is given below.

#### Explanation:

$h \left(x\right) = {x}^{2} + 2$

Note all polynomials have domain as All Real Numbers. In the interval notation it is $\left(- \infty , \infty\right)$

Graph of $h \left(x\right)$ would be a parabola with vertex at $\left(0 , 2\right)$

The coefficient of ${x}^{2}$ is positive therefore, the graph opens up.

This graph would have a minimum value of $2$

The maximum value is not known.

Therefore the range is $\left(2 , \infty\right)$