Question: 4) [9] Let A = {-3, -2, -1, 0, 1} and B = {-8, -6, 0, 6, 10}. Define g: A - B by g(x)

4) [9] Let A = {-3, -2, -1, 0, 1} and B = {-8, -6, 0, 6, 10}. Define g: A - B by g(x) = 2x2 - 8. a) What is the codomain of g? b) What is the range of g? c) What is the domain of g? d) Is g injective? Explain why or give a SPECIFIC counterexample. e) Is g surjective? Explain why or give a SPECIFIC counterexample. f) Is g bijective? Explain why or give a SPECIFIC counterexample. 1 g) Is (-3,10) E g? Why or why not? h) Is (2, 0) E g? Why or why not? i) What is the image of -2 under the function g? Show your work

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