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maximums of functions


A function has a maximum when there is one point on the graph that has the highest y-coordinate. Determine if the following functions have a maximum, and if so, under what circumstances does the maximum occur? Explain your reasoning.

a. Linear: y = ax + b
b. Quadratic: y = ax2 + bx + c
c. The function y = axn where n is an even positive integer
d. The function y = axn where n is an odd positive integer



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