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Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Concavity

Help me understand the fundamental definition of concavity.
Consider the function \(y = x^4 \)

Can we say that is concave up from \((-\infty, +\infty)\)
or do we need to say \( (-\infty,0) \cup(0,+\infty) \)?

Here is it, if you want to see a visual.



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Terminology
Curmudgeon
CALC

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