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## Homework Statement

In my textbook, the author briefly makes a statment that affine functions are both concave and convex, how is that true? and how can it be proven?

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- Thread starter retspool
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- #1

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In my textbook, the author briefly makes a statment that affine functions are both concave and convex, how is that true? and how can it be proven?

- #2

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Isn't an affine function a line?

Lines don't have any concavity.

Lines don't have any concavity.

- #3

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let f(x) be a function in Rn.

prove that f(x) is both concave and convex if f(x) = cTx for some vector c

I thought that the function was a affine function, but i can't prove it

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