Explain how the maxima and minima of f(x) = sinx, g(x) = sin(2x) and h(x) = sin(3x) affect the shape of k(x) = sin(x) + sin(2x) + sin(3x). You are adding the y-values of the function together.

Answer 1

try a graphing calculator

visually it looks like;

global max = 2.5

global min = -2.5

relative maximums = about 1/4 and 3/4

relative mins = about -1/4 and -3/4