The maximum and minimum values of the functio | vedclass

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(B) Given the function $f(x) = |\sin 4x + 3|$.We know that for any real $x$,the range of $\sin 4x$ is $[-1, 1]$.To find the minimum value of $f(x)$,we

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$4, 2$

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(B) Given the function $f(x) = |\sin 4x + 3|$.We know that for any real $x$,the range of $\sin 4x$ is $[-1, 1]$.To find the minimum value of $f(x)$,we substitute the minimum value of $\sin 4x$,which is $-1$:$f_{	ext{min}} = |-1 + 3| = |2| = 2$.To find the maximum value of $f(x)$,we substitute the maximum value of $\sin 4x$,which is $1$:$f_{	ext{max}} = |1 + 3| = |4| = 4$.Thus,the maximum and minimum values are $4$ and $2$ respectively.

The maximum and minimum values of the function $|\sin 4x + 3|$ are

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