Is it possible to have a function f defined on [ 3 , 5 ] and meets the given conditions?
f is continuous on [ 3 , 5 ], takes on the values -3 and 3 but does not take on the value 0.

Question

anonymous · Answer

not possible assuming this means it takes on the values -3 and 3 on the interval [3,5]

anonymous · Answer

that's what it means.

anonymous · Answer

not if it is continuous, no.  has to take on every value between -3 and 3.  that was an easy one

anonymous · Answer

is that simply because is says that it is continuous?