Tickbox Quiz #9 Q14 - Validity of Functions; Even/Odd Functions

I assumed the following:

  • For the line m: y\sim x^2
  • For the line n: x\sim y^2

From this, I inferred that if an even function with x as the quadratic term is symmetric (x^2) about the y-axis, then an even function with y as the quadratic term (y^2) should also be symmetric about the x-axis.

After going through the solutions, I now know that, for a function to be valid, there should always be only one y-value corresponding to the x-value. But are there any other concepts like this that I should be aware of for the GRE that isn’t taught via the PrepSwift Videos?

This is not a good question (and vague).

Consider your question. We do say in the Functions (and Even & Odd Functions) videos how they work. Is this specific edge case spelled out in the video? Probably not. But the intention is that you be able to use the foundation you’ve learned in the PrepSwift videos to solve a similar version. Like in the actual test.

Yeah, I think I could’ve made it more clearer. I meant other concepts around functions and coordinate geometry similar to this one. As my foundations aren’t great, I am unsure about which concepts of a particular topic are important to know and which aren’t.

I think completing PrepSwift and All the Easy and Medium GregMat Questions should generally take care of everything, as it has done for others. So I will just keep going.

Focus on PrepSwift for now, and do well on it. Don’t worry too much about “edge cases” at this stage.

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