A function f has the following verbal description: "Subtract 4, then cube the result."
(a) Find a formula that expresses f
algebraically.
f(x) =
(b) Make a table of values of f, for the inputs
1, 2, 3, 4, 5, and 6.
(c) Sketch a graph of f, using the table of values from part (b)
(d) How do we know that f has an inverse?
Give a verbal description for f −1.
(e) Find a formula that expresses f −1 algebraically. (If an answer does not exist, enter DNE.)
f −1(x) =
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