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

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Answer 1 · 2016-01-26T14:19:03

An explanation is given below.

$h(x)=x^2+2$

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

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

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 $(2,oo)$

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