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.