2. Functions 2 2 1 3 Domain Range 1 0 3 2 5 xf(x) 7

3. Functions 2 3 NB Rule of thumb: “Vertical Ruler”: ANY vertical line drawn through the graph cuts it only once gives a function. And “Horizontal Ruler”: ANY HORIZONTAL line drawn AS WELL cuts graph only once, gives this special-case:- a one-to-one function. Identify common functions or classes of functions and test for 1 – 1 property.

4. Functions 2 4 f Inverse Functions

5. Functions 3 5 So … and vice versa You know already.. As composite functions:- )

6. Functions 3 6

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10. Functions 2 10 Do:- Bk 11, Page 62 Ex 3.3