Find the maximum or minimum values, if any, without using derivatives, of the function:
max. value = 4, min. value = 6
f(x)=sin2x+5
We know that,
-1≤sinӨ≤1
-1≤sin2x≤1
Adding 5 on both sides,
-1+5≤sin2x+5≤1+5
4≤sin2x+5≤6
Hence
max value of f(x)=2x+5 will be 6
Min value of f(x) =2x+5 will be 4