Determine the extreme values of each function on the given interval. `f(x)=2sin4x+3`, XE[0,pi]

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rcmath eNotes educator| Certified Educator



Let's determine the exact values in the given interval. We will plug in value for K=0,1,2,3,4,...etc until we have values of x out of the given interval.






Thus you have the extremes at `x_0,x_1,x_2,x_3`

If you plug in the values of x in the original function, you will find that the maximum values are 5 and they are at points `x_0,x_2`


You can repeat the same work for x2

the minimum values are 1 and they are at points `x_1, x_3`