Question

50. The maximum and minimum values of the function f (x) = sin 3x + 4 where x e R
are
(a) 5,3
(b) 3,5
(C) 50,5
(d) 2, 3.​

Answer 1

Question :-

• The maximum and minimum values of the function f (x) = sin 3x + 4 where x e R are

Answer

Given :-

• A function f(x) = sin 3x + 4

To find :-

• Maximum and Minimum value

Solution :-

$\bf \:We \: know, - 1 \leqslant sin3x \leqslant 1$

Adding 4 in each term, we get

$\bf\implies \: - 1 + 4 \leqslant sin3x + 4 \leqslant 1 + 4$

$\bf\implies \:3 \leqslant f(x) \leqslant 5$

$\bf\implies \:Minimum \: value = 3$

$\bf\implies \:Maximum \: value = 5$

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$\large{\boxed{\boxed{\bf{Option \: (a) \: is \: correct}}}}$