I need counter example for these statement

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Homework Statement


[PLAIN]http://hh7.net/Apr1/hh7.net_13016941501.gif


Homework Equations



these statement are false and i need counter example for each one

The Attempt at a Solution



for(ii) i can say that f(x)=x2-4 on [-6,6]

for others i need help
 
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For (iii), what about f(x) = 0?

[edit]For (iv), what about g(x) = x + 1?[/edit]