Question

Determine whether the equation defines y as a function of x.

x^2 + y^2 = 1

Answer 1

Can someone help me..

Answer 2

\[
y^2 = 1 - x^2
\]
Can you finish it now?

Answer 3

so y is a function of x?

Answer 4

\[
y= \pm \sqrt{ 1 - x^2}
\]
So what can you say?

Answer 5

y is a function of x
y is not a function of x

Answer 6

Is y a function of x. Why or why not?

Answer 7

I don't understand

Answer 8

I have to choose either y is a function of x or

y is not a function of x

Answer 9

It is not. Why?

Answer 10

So why is not a function of x.

Answer 11

For each value of x between -1 and 1, you get two values of y. You should get one and only one to be a function.

Answer 12

So your saying why is not a function of x

Answer 13

y is not a function of x

Answer 14

it is only a function if x gives one and only one y

Answer 15

yes. If x =0, then
\[
y=\pm 1
\]

Answer 16

Ok, I understand now.