The maximum and minimum values of the function | 4x + 3| are - Vidyadip

MCQ

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

A
$1, 2$
✓
$4, 2$
C
$2, 4$
D
$-1, 1$

✓

Answer

Correct option: B.

$4, 2$

b
(b) Here $f(x) = |\sin 4x + 3|$

We know that minimum value of $\sin x$ is $-1$ and maximum is $ 1.$

Hence minimum $|\sin 4x + 3|\, = \,| - 1 + 3| = 2$ and

maximum $|\sin 4x + 3| = |1 + 3| = 4$.

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