Recall that for a, b ∊ ℝ and a < b, the closed interval [a, b] in ℝ is defined by [a, b] = [x ∊ R | a ≤ X ≤ b}. Show that the given intervals have the same cardinality by giving a formula for a one-to-one function f mapping the first interval onto the second.
a. [0, 1] and [0, 2]
b. [1, 3] and [5, 25]
c. [a, b] and [c, d]
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