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June 2nd, 2017, 11:50 AM   #1
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Continuous function

1. If $\displaystyle f:[-1,2] \rightarrow R $ is continuous and $\displaystyle f(1) < f(0) $, then

A) $\displaystyle f([0,1]) \subseteq [f(1),f[0)]$.
B) $\displaystyle f([0,1]) \supseteq [f(1),f[0)]$.
C) $\displaystyle f([0,1]) = [f(1),f[0)]$.
D) $\displaystyle f([0,1])$ need not be a closed interval.


Please someone help to solve these kinds of problems like comparing two values
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June 2nd, 2017, 12:47 PM   #2
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First, clearly determine the meaning of the notation. This is especially critical for A, B and C.
Second, since D is significantly different than the rest, can you eliminate it or accept it?
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