Question

What is the domain and range of `y=-2x^2+1`?

Answer 1

Since there are no roots or fractions, the domain is unlimited:
`- oo < x< +oo`

Explanation:

The smallest value of `x^2` can be `0` or `x^2>=0`

Which means that `-2x^2<=0->-2x^2+1<=1`

Which puts the range as: `- oo < y <=1`
graph{-2x^2+1 [-10, 10, -5, 5]}