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Mathematics 14 Online
OpenStudy (vera_ewing):

Math question

OpenStudy (vera_ewing):

@Michele_Laino Is it A?

OpenStudy (michele_laino):

no, I'm sorry, it is not A.

OpenStudy (michele_laino):

no, I'm sorry, it is not option D.

OpenStudy (michele_laino):

hint: a function is symmetryc with respect to the origin, when it is invariant under this transformation: \[\begin{gathered} y \to - y \hfill \\ x \to - x \hfill \\ \end{gathered} \]

OpenStudy (mitchi35):

If it's not A, or, B, or c. It must beeeeeeeee?? XD

OpenStudy (mitchi35):

Imeant D

OpenStudy (michele_laino):

It is not A, and it is not D

OpenStudy (michele_laino):

hint: if I make the transformation above, I can write: \(-y=f(-x) \) therefore: \(y=-f(-x)\) please complete

OpenStudy (vera_ewing):

y=fx

OpenStudy (michele_laino):

correct! then we have \(f(x)=-f(-x)\)

OpenStudy (vera_ewing):

Ok so it is B?

OpenStudy (michele_laino):

yes!

OpenStudy (vera_ewing):

Thank you!

OpenStudy (michele_laino):

:)

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