(i) Given that A = {1, 2, 3, 4, 5, 6] maps respectively to B = (3,4,5,6,7,8), Find an injective function f(x) such that f: AB. Hint: Can you depict any relationship between sets A and B? (ii) Find f(1), f(2), f(3) using the injective function found in part (1). (iii) Sketch the graph of f(x). (iv) Use the vertical line test to show that fis a valid function. State your conclusion in a complete sentence. (v) Use the horizontal line test to show that f is an injective function. State your conclusion in a complete sentence. (vi) Given that f is a bijective function, find and plot f(x). Hint: To plot f(x), mirror f(x) in the x = y line. (vii) Given g(x)= e, find f(g(x)), g(f(x)). /^' (@(1))

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