1.

Find the maximum and minimum values, if any, of the following functions given by(iv) f(x) = |sin 4x + 3|

Answer»

(iv)f(x) = |sin4+3|
We know that −1 ≤ sin 4x ≤ 1.
∴ 2 ≤ sin 4x + 3 ≤ 4
∴ 2 ≤ |sin4+3| ≤ 4
Hence, the maximum and minimum values of f are 4 and 2 respectively.



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