What are the local extrema of $f (x) = 5 x - 3$ $f(x)= 5x - 3$ ?

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Answer 1 · 2016-03-04T00:36:13

A linear function has no local extrema.

$f'(x)=5$ is never undefined and it is never $0$ , so $f(x)=5x-3$ cannot have local extrema. (Fermat's Theorem)

What are the local extrema of f(x)= 5x - 3f(x)=5x−3f(x)= 5x - 3?