Let f be a continuous real valued function on . Le t A be the set of real numbers 'a' that can be expressed as . Prove that if A contains two numbers a & b, then it contains the entire interval with end points a & b.

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- Jun 10th 2009, 07:50 PMfardeen_genContinuity proof?
Let f be a continuous real valued function on . Le t A be the set of real numbers 'a' that can be expressed as . Prove that if A contains two numbers a & b, then it contains the entire interval with end points a & b.

- Jun 11th 2009, 05:14 AMMedia_Man
Is there a typo here? How could a real number ?

- Jun 12th 2009, 06:01 AMfardeen_gen
I am confused regarding the same thing :(