Mathematics

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28 October, 11:37

1) Is it possible to have a function f defined on [ 2, 4 ] and meets the given conditions?

f is continuous on [ 2, 4), minimum value f (4) = 2, and no maximum value.

2) Is it possible to have a function f defined on [ 4, 5 ] and meets the given conditions?

f is continuous on [ 4, 5 ], takes on no rational values.

3) Is it possible to have a function f defined on [ 2, 5 ] and meets the given conditions?

f is continuous on [ 2,5 ] and the range of f is an unbounded interval.