Q4 of 137 Page 19

Find the maximum and the minimum values, if any, without using derivatives of the following functions:

f(x) = sin 2x + 5 on R

We know that – 1 ≤ sin2x ≤ 1


= – 1 + 5 ≤ sin2x + 5 ≤ 1 + 5


= 4 ≤ sin 2x + 5 ≤ 6


Hence, the maximum and minimum value of h are 4 and 6 respectively.


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