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Determine whether the statement is true or false, and explain why.
A relative maximum is the greatest possible value of a function.
Choose the correct answer below.
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OA. The statement is false. If f(c) is a relative maximum on an interval (a,b), then there is always some value f(d)
where f) f(c) outside the interval (a,b).
OB. The statement is false. A relative maximum occurs at either f(a) or f(b) on an interval (a,b). So, there may be
some value f(c) within (a,b) in which f(c) > f(a) or f(c) > f(b).
OC. The statement is false. If f(c) is a relative maximum on an interval (a,b), there may still be some value f(d)
where f(d) f(c) outside the interval (a,b).
D. The statement is true. A relative maximum is the greatest possible value of a function.
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