Is y a Function of x?

mathxyz · 2024-03-07 10:45:18

Determine if each equation defines y as a function of x.

1. x + y^2 = 1

I say no but don't know why.
If no, can you explain why?

2. y = (3x - 1)/(x + 2)

I say yes.

3. x^2 - 4y^2 = 1

I say no but don't know why.
If no, can you explain why?

amnkb · 2024-03-07 20:13:35

1. solve for y=

how many y's do you get for each x?

2. agree

3, same reason as for 1.

mathxyz · 2024-03-08 10:38:13

amnkb wrote:

1. solve for y=
how many y's do you get for each x?
2. agree
3, same reason as for 1.

I totally understand there are two values for y for the 1st and 3rd questions. So, no function there.

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