let f a b r be continuous let c be the set of all points in a b where f takes the value fafb2 sh

Name: let f a b r be continuous let c be the set of all points in a b where f takes the value fafb2 show that c is nonempty and compact 52393
Uploaded: 2023-05-29T10:43:56-08:00
Duration: 3 min 30 s
Channel: Adi S
Description: let f a b r be continuous let c be the set of all points in a b where f takes the value fafb2 show that c is nonempty and compact 52393

Question

Shu-Ting Huang · Accepted Answer

First, we need to show that C is nonempty. Since f is continuous on the closed interval [a, b],

Question

Let f : [a, b] → R be continuous. Let C be the set of all points in [a, b] where f takes the value f(a)+f(b)/2 . Show that C is nonempty and compact.

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