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)#