True or false?

[maggie0160]

I have this problem. I believe the answer is true, but I could be wrong. If is it false can someone explain it to me.

The graph of 7x^2 + 5y^2 = 4 is symmetric with respect to the origin.

 

[stapel]

"Is symmetric with respect to the origin" is the same as "is an odd function". So just follow the formula they gave you for checking if a function is odd.

Eliz.

 

[maggie0160]

I was not given an equation. So I assume it is false then.

 

[pka]

No, the graph is symmetric about the origin! The statement is TRUE.
If (a,b) is a point on the graph then is (−a,−b) also on the graph?
If yes then the graph is symmetric about the origin.
This question is about the graph as opposed to the function.

 

[stapel]

I was not given an equation.

Are you saying that you haven't yet learned about symmetry and odd and even functions?

Eliz.