Essay
Let f(x) = x2 - x3 with domain [-1, 2] and range [-4, 2], whose graph is shown below. The graph of g is obtained by shifting the graph of f down 3 units.
A) Find the domain of g
B) Give a formula for g
C) Find the range of g
D) Sketch the graph of g
Correct Answer:

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Part A: [-1, 2]
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