Let a, b, c, d \in \mathbb{R}. Define explicitly a bijection from [a, b] onto [c, d].
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First, we need to find a function that maps the interval [a, b] onto the interval [0, 1]. One such function is: f(x) = (x - a)/(b - a) This function takes values between 0 and 1 when x varies between a and b. It is also a bijection, since it is strictly Show more…
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