The accompanying figure shows the graph of a function ƒ(x) with domain [0, 2] and range [0, 1]. Find the domains and ranges of the following functions, and sketch their graphs.
a. ƒ(x) + 2 b. ƒ(x) - 1
c. 2ƒ(x) d. –ƒ(x)
e. ƒ(x + 2) f. ƒ(x – 1)
g. ƒ(–x) h. –ƒ(x + 1) + 1
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