SOLUTION: Give an example of an increasing function whose domain is the interval [0, 1] but whose range does not equal the interval [f (0), f (1)].

SOLUTION: Give an example of an increasing function whose domain is the interval [0, 1] but whose range does not equal the interval [f (0), f (1)].

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Question 942978: Give an example of an increasing function whose domain is the interval [0, 1] but whose range does not
equal the interval [f (0), f (1)].
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
f could have a jump discontinuity. For example, let f(x) = x when x is in [0, 0.5) and 2x when x is in [0.5, 1]. f is increasing, by the definition of increasing function, but its range is [0, 0.5) U [1, 2].
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