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3. 1. Algebraically (by an explicit formula) Area of a circle radius? rr ?2 ? Area of rectangle one of the length? blA ?? lA ? r l b

4. * Student Teacher 2. Example from every��s life: Verbally 2a. student depends on Teacher

5. 2b. Teacher depends on students

6. y -2 -1 0 1 2 X -2 -1 0 1 2 *

7. * ? )4,0( ? x 0 4 y 0 1 0 -1 0 1 0 -1 0 ? 23? ?2 2/5? ?3 2? 2/7? 2d plot 3d plot

8. 4. Visually (by a graph)

9. * ? y=f(x) Depandent variable Function Indepandent variable

11. * 1x 2x 3x 4x 1y 2y 3y 1x 2x 3x 1y 2y 3y 4y D R D R A function

12. * Function Domain (D) Range (R) ),0[ ? 2 xy ? xy /1? ),0()0,( ???? ),0()0,( ???? xy ? ),0[ ? ),0[ ? ),0[ ?xy ?? 2 ]2,(?? ),( ???

13. * ]})(,[{ Dxxfx ? x y

14. * Step 1 Table of values Step2: x -3 -2 -1 0 1 2 3 y 3 2 1 0 1 2 3 x y

15. 2d plot 2 xyGraph ? x -2 -1 0 1 2 y 4 1 0 2 4 3d plot Table of values

16. Like/DISLIKE

Functions