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# 3. Recall that the Extreme Value Theorem guarantees that continuous functions have global maxima and global minima over every closed, bounded interval:Consider the ...

## Question

###### 3. Recall that the Extreme Value Theorem guarantees that continuous functions have global maxima and global minima over every closed, bounded interval:Consider the following mathematical statements. Fill in the blank with "all" "no" or "some" to make the following statements true Note that "some" means one Or more instances, but not allIf your answer is "all" then give brief explanation as to why: If your answer is "no" then give an exa

3. Recall that the Extreme Value Theorem guarantees that continuous functions have global maxima and global minima over every closed, bounded interval: Consider the following mathematical statements. Fill in the blank with "all" "no" or "some" to make the following statements true Note that "some" means one Or more instances, but not all If your answer is "all" then give brief explanation as to why: If your answer is "no" then give an example and a brief explanation as to why: If your answer is some" then give two specific examples that illustrate why your answer it not "all" or "no" Be sure to explain your two examples_ For real numbers b, if f(c) = 22, then f has a global maximum on the interval (0,6)- For functions f , if f is differentiable and has global maximum on the interval 0 < â‚¬ < 10, then f' (#) = 0 for some â‚¬ in the interval (0,10). For functions f, if f is continuous and differentiable on 0 < â‚¬ < 5 and f has exactly one critical point at â‚¬ = 3, then f has either a global maximum Or minimum at T = 3_

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