130k views
0 votes
Determine if the equation x2 + 3y2 = 3 defines y as a function of x.

Yes. One input results in one output.


No. At least one output results in two inputs.


No. At least one input results in two outputs.


Yes. One output results in one input.

1 Answer

3 votes
No. At least one input results in two outputs.

_____
The equation is that of an ellipse, so it is double-valued over most of its domain. The relation is not a function, which must be single-valued.
Determine if the equation x2 + 3y2 = 3 defines y as a function of x. Yes. One input-example-1
User Samer Boshra
by
6.4k points