#1**+3 **

x^2 + x + 1

________

x^2 + 1

We would need Calculus to determine this mathematically......a graph might work better

Look here : https://www.desmos.com/calculator/ndujaokd6r

The max value for y occurs at (1, 1.5)

And the minimum value for y occurs at (-1, 0.5)

And all y values between these are defined

So.....the range is [ 0.5, 1.5 ]

CPhill Jun 24, 2019