f(x) = | sin 4x+3 | on R

Open in App

Solution

Given: f(x) = $|\sin 4 x + 3|$
We know that −1 $\leq$ sin 4x $\leq$ 1.

⇒ 2 $\leq$ sin 4x + 3 $\leq$ 4

⇒ 2 $\leq$ $|\sin 4 x + 3|$ $\leq$ 4

⇒ 2 $\leq$ f(x) $\leq$ 4

Hence, the maximum and minimum values of f are 4 and 2, respectively.

Suggest Corrections

Similar questions

= cos (cos x)

+ cos (sin x) + sin 4 x

π

f (x +

π

) = f (x)

f (x) = \frac{{cos}^{2} x + {sin}^{4} x}{{sin}^{2} x + {cos}^{4} x} \forall x \in R

f (2012) = 1

f (x) = \frac{{cos}^{2} x + {sin}^{4} x}{{sin}^{2} x + {cos}^{4} x}, x \in R

f (2002)

f (x) = {sin}^{4} x + {cos}^{4} x + 5

f (x) \leq

Join BYJU'S Learning Program