How do you find the domain and range of y=2x2+1?

1 Answer
Apr 27, 2017

Domain: All real numbers
Range: y>1

Explanation:

Normally, x or y will be limited if there are fractions or square roots.

x is not limited to any numbers. That means the domain is all real numbers.

Solve for y to figure out the range:

y1=2x2

y12=x2

y12=x

y is in a square root this time and we need to figure out the limitations. A square root cannot have negative numbers. So:

y12>0

Solve for y:

y1>0

y>1