Question

(i) f(x) = | sin 3x | - 3 maximum and minimum values
-​

Answer 1

SOLUTION

TO DETERMINE

The maximum and minimum values of

f(x) = | sin 3x | - 3

EVALUATION

Here the given function is

f(x) = | sin 3x | - 3

Now

0 ≤ | sin 3x | ≤ 1

⇒ 0 - 3 ≤ | sin 3x | - 3 ≤ 1 - 3

⇒ - 3 ≤ | sin 3x | - 3 ≤ - 2

⇒ - 3 ≤ f(x) ≤ - 2

Hence maximum value = - 2 & minimum value = - 3

FINAL ANSWER

• Maximum value = - 2

• Minimum value = - 3

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