Question

determine whether the equation defines y as a function of x: y=x^2+2

Answer 1

Yes

Answer 2

why?

Answer 3

because if you know the value for x, then you will know the value for y

Answer 4

for example if x = 3 then
\[y=3^2+2=9+2=11\] so knowing what x is determines what y you get

Answer 5

determine whether the equation defines y as a function of x: x=y^2-4