Recall that for a, b ∈ R and a < b, the closed interval [a, b] in R is defined by [a, b] = {x ∈ R I 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. [l, 3) and [5, 25)

c. [a, b] and [c, d)