Question

What is the range of the function y = x2 + 1?
all real numbers
x ≥ 0
y ≥ 0
y ≥ 1

Answer 1

since this is a parabola opening upwards, the lowest y value is at your vertex and it ranges to postitive infinity.

Answer 2

do know where your vertex is?

Answer 3

Simply plugin x= 0 and find your y- value
Then plugin x = -3 and find your y-value
then plugin x = 3 and find your y-value.

You will observe something specific about y

Answer 4

@mathboy2 , no

Answer 5

y=1 because 0^2+1=1

Answer 6

Yes. So give me any x-value for which you find y to be lesser than one . Can you find any such x- value??