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For each interval, use the figure below to choose the statement that gives the l

ID: 2895256 • Letter: F

Question

For each interval, use the figure below to choose the statement that gives the location of the global maximum and global minimu ofon the interval. (I) Maximum at right endpoint, minimum at left endpoint. (II) Maximum at right endpoint, minimum at critical point. (III) Maximum at left endpoint, minimum at right endpoint. (IV) Maximum at left endpoint, minimum at critical point. 60 40 20- f(x) 40 80 (a) The statement that gives the location of the global maximum and global minimum of on the interval 19 x 42 (b) The statement that gives the location of the global maximum and global minimum of on the interval (c) The statement that gives the location of the global maximum and global minimum of on the interval 19 s x s 39 (d) The statement that gives the location of the global maximum and global minimum of on the interval 38 s xS 78 is OlI) (IV).

Explanation / Answer

a)
function decreases and then increases slightly in this interval
So, maxima will be left end point
minima will be critical point
Answer: IV

b)
function increases continuously in this interval in this interval
So, minima will be left end point
maxima will be right end point
Answer: I

c)
function decreases continuously in this interval in this interval
So, maxima will be left end point
minima will be right end point
Answer: III

d)
function decreases and then increases more in this interval
So, maxima will be right end point
minima will be critical point
Answer: II

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