a. Graph the function y1 = x3 - 15x2 + 63x on the window [0, 10] by [0, 130]. By visual inspection of this function on this domain, where do the absolute maximum and minimum values occur: both at critical numbers, both at endpoints, or one at a critical number and one at an endpoint?
b. Now change the domain to [0, 8] and answer the same question.
c. Now change the domain to [2, 8] and answer the same question.
d. Can you find a domain such that the minimum occurs at a critical number and the maximum at an endpoint?
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