Question

4. True or False. Write true or false in the blanks.

a, A continuous function over a closed interval will achieve exactly one local maximum on that interval ______________

b. If f(x) and g(x) both have a local maximum at x=a then $(f\times g)(x)$ has either a local maximum or a local minimum at x=a. ___________

c. If for all x and if a > b, then _____________

d. If is undefined, and if is continuous at x=c, then has a local extrema at x=c. ________

e. If and is differentiable for all x $\epsilon \mathbb{R}$ , then for all x $\epsilon \mathbb{R}$ .__________

f(x) > 0 f(c f()f f(-x) =-f(x) f(-r)f(x)

Answer 1

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