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Show that affine functions are both concave and convex

  • Thread starter retspool
  • Start date
  • #1
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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?


Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
19
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Isn't an affine function a line?
Lines don't have any concavity.
 
  • #3
36
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This is exactly how the problem goes
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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