If f is defined on the closed interval [a, b], then f has an absolute minimum value in [a, b].If

Name: If f is defined on the closed interval [a, b], then f has an absolute minimum value in [a, b].If f is continuous on the interval (a, b), then f attains an absolute minimum value at some number c in (a, b).
Uploaded: 2022-08-10T22:18:48-08:00
Duration: 1 min 38 s
Channel: Andrew Noble
Description: If f is defined on the closed interval [a, b], then f has an absolute minimum value in [a, b].If f is continuous on the interval (a, b), then f attains an absolute minimum value at some number c in (a, b).

Question

Steven Clarke · Accepted Answer

The first statement is a well-known result in calculus known as the Extreme Value Theorem. It st

Question

If $f$ is defined on the closed interval $[a, b]$, then $f$ has an absolute minimum value in $[a, b]$.If $f$ is continuous on the interval $(a, b)$, then $f$ attains an absolute minimum value at some number $c$ in $(a, b)$.

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