Question: 2. [5 pts] Consider the function f : R 0 = R, f(x) = 12 + 9 (a) [1 pt] Draw the graph of

2. [5 pts] Consider the function f : R \\ 0 = R,
2. [5 pts] Consider the function f : R \\ 0 = R, f(x) = 12 + 9 (a) [1 pt] Draw the graph of f. (b) [2 pts] Let Al = [V3, co], B1 = (0, co). Prove that f(x) : Al -> BI is injective by two different methods i. [1 pt] Using the definition of injectivity. ii. [1 pt] Constructing a left inverse. (c) [2 pts] Let A2 = (0, oo], By = [6, co). Prove that f(x) : A2 -> By is surjective by two different methods i. [1 pt] Using the definition of surjectivety. ii. [1 pt] Constructing a right inverse

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