Examine the applicable of MVT for all three functions.

$f (x) = [x] f o r x ϵ [- 2, 2]$

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Solution

Here, MVT is not applicable to f(x)=[x] in [2, -2] as f(x) is neither continuous in [2, -2].

( $∵$ f is not continuous at -2, -1, 0, 1, 2).

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Examine the applicable of MVT for all three functions. f(x)=[x] for xϵ[−2, 2]

Here, MVT is not applicable to f(x)=[x] in [2, -2] as f(x) is neither continuous in [2, -2]. (∵ f is not continuous at -2, -1, 0, 1, 2).

Examine the applicable of MVT for all three functions.

$f (x) = [x] f o r x ϵ [- 2, 2]$

Here, MVT is not applicable to f(x)=[x] in [2, -2] as f(x) is neither continuous in [2, -2].

( $∵$ f is not continuous at -2, -1, 0, 1, 2).