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A continuous function f, defined for all x, has the following properties:

1. f is increasing
2. f is concave down
3. f(13)=3
4. f'(13)=1/4

Sketch a possible graph for f, and use it to answer the following questions about f.

A. For each of the following intervals, what is the minimum and maximum number of zeros f could have in the interval? (Note that if there must be exactly N zeros in an interval, the minimum and maximum are both N.)

−INF <x<= 0
0 <x<=1
1<x<13
13<=x<INF
I need the maximum and minimum... I just have the two first ones... 0 for both 1 and 2 maximum and minimum... then I really don't know what to do..

B. Are any of the following possible values for f'(1)? (Enter your answer as a comma-separated list, or enter 'none' if none of them are possible.) −3, −2, −1, −51, 0, 51, 1, 2, 3.
possible values: f'(1)=_________

C. What happens to f as x−>- INF?
lim x−> INF f(x)= ________

(Enter the value, 'infinity' or '-infinity' for or −, or 'none' if there is no limit.)

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