MATH104 December 2010
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q1 (g) • Q1 (h) • Q1 (i) • Q1 (j) • Q1 (k) • Q1 (l) • Q1 (m) • Q1 (n) • Q2 (a) • Q2 (b) • Q3 • Q4 • Q5 • Q6 •
Question 01 (k)
Find the global maximum and global minimum of the function
on the interval [-1,8].
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What are the critical points? Is the interval of consideration closed?
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On the closed interval , the global maximum/minimum can occur at critical points or at the endpoints.
If , then which is never but is undefined at . The only critical point on the interval is at .
Now we evaluate at the critical point and at the endpoints: , , and .
In comparing these we find the global maximum is occurring at and the global minimum is occurring at .
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