You have a function f, which is calculated according to f (x) = | x - 2 | + 2 | x + 4 |. (a) Type f (x) as an individually defined function, without the punctuation mark. (b) Draw the curve y = f (x) in a graded coordinate system. (c) Solve the equation | x - 2 | + 2 | x + 4 | = 8 using case division. (d) Confirm that the calculated solutions are correct by inserting them in the original formula of f (x). If you also got some fake roots then check them too. (e) Draw the line y = 8 in the coordinate system in problem (b). (f) Explain how you see the solutions to the equation in problem (c) in the picture.

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