A continuous function , defined for all , has the following
1. is decreasing
2. is concave up
Sketch a possible graph for , and use it to answer the following
questions about .
For each of the following intervals, what is the minimum and maximum
number of zeros could have in the interval? (Note that if
there must be exactly N zeros in an interval, the minimum and maximum are
Are any of the following possible values for ? (Enter your
answer as a comma-separated list, or enter 'none' if none of them are
, , , ,
, , , , .
What happens to as ?
(Enter the value, 'infinity' or '-infinity' for or
, or 'none' if there is no limit.)
You can earn partial credit on this problem.