Does anybody know what type of problem this is called?

[little python]

There's this problem on my worksheet for AP Precalc: topic 1.5 Polynomials and complex zeros.

[rocky pelican]

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[plain solar]

You need to make some equations based on the fact that g(x) is odd: g(-x) = -g(x). Also, since it's strictly increasing, this must also imply that it's injective: if g(x) = g(y), then x = y.

That gives you several equations.

[elder lion]

I guess you could call it Using Properties of a Function to Complete a Table? Though I’ve never seen this for Precalculus.

[plain solar]

Yeah, I don't think I've seen an exercise like this, either.

I mean, it's solvable, so good enough, I guess 😅
Though, doesn't seem directly connected to the topic that Avery listed.

[little python]

Yeah I was searching the web and came across a video that solve the question. It used the g(x) is odd thingy where g(-x) = -g(x), like LordDarpinger said.

+close

[bitter wren]

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[plain solar]

And that it's injective.