Question

Functions f(x) and g(x) are shown below:

Answer 1

Maximum value is found by solving the root of the first derivative. that root is where the maximum value is. 

f ' (x) = -8(x - 6) = 0. 

So x = 6 and that's the maximum value. f(6) = 3 

2cos(2x - π) + 4 is a trig function. The maximum value of cosine function is 1. 

So the maximum value would be 2(1) + 4 = 6.