1. Topics: 1.Be able to writes equations of Linear Functions from numerical representations. 2.Be able to writes equations of Absolute Value Functions from numerical representations. 3.Be able to writes equations of Quadratic Functions from numerical representations. 4.Be able to writes equations of Exponential Functions from numerical representations.

2. We learned how to write equations from graphs in standard 3.3!!!!! Review: Write the equation from the given graph Form: Point Slope Form (PSF) Point:(-10,-2)(-6,-3)(-2,-4) (2,-5)(6,-6)(10,-7) Rate: R.O.C. is a constant of -¼ Equation:y =-¼(x + 10) - 2 y =-¼(x + 6) - 3 y =-¼(x + 2) - 4 y =-¼(x – 2) - 5 y =-¼(x – 6) - 6 y =-¼(x – 10) - 7

3. Example 1: Write the equation of the function from the following table Rate of Change:5 Y-intercept: (0, -3) Favorite Point:Pick One Point Slope Form: (0, -3): y = 5(x - 0) - 3 (1, 2): y = 5(x - 1) + 2 (2, 7): y = 5(x - 2) + 7 (3, 12): y = 5(x - 3) + 12 (4, 17): y = 5(x - 4) + 17 Slope Intercept Form: y = 5x - 3

4. Example 2: Write the equation of the function from the following table Rate of Change:1/2 Y-intercept: (0, 6) Favorite Point:Pick One Point Slope Form: (-2, 5): y = ½(x + 2) + 5 (0, 6): y = ½(x - 0) + 6 (2, 7): y = ½(x - 2) + 7 (4, 8): y = ½(x - 4) + 8 (6, 9): y = ½(x - 6) + 9 Slope Intercept Form: y = ½x + 6

5. Example 3: Write the equation of the function from the following table Rate of Change:-8 Y-intercept: Ummmm ……………… Favorite Point:Pick One Point Slope Form: (-3, 24): y = -8(x + 3) + 24 (1, -8): y = -8(x - 1) - 8 (5, -40): y = -8(x - 5) - 40 (9, -72): y = -8(x - 9) - 72 (13, -104): y = -8(x - 13) - 104 Slope Intercept Form: y = -8x

6. Example 4: Write the equation of the function from the following table Rate of Change:0 Y-intercept: (0, 4) Favorite Point:Pick One Point Slope Form: (-2, 4): y = 0(x + 2) + 4 (0, 4): y = 0(x - 0) + 4 (2, 4): y = 0(x - 2) + 4 (4, 4): y = 0(x - 4) + 4 (6, 4): y = 0(x - 6) + 4 Slope Intercept Form: y = 4

7. Example 5: Write the equation of the function from the following table Rate of Change:Undefined Y-intercept: Ummm…………………… Equation:x = -3

8. Example 6: Write the equation from the points: (-15,35) and (-9, 23) Rate of Change:-2 Y-intercept: Ummmmmm……………… Favorite Point:Pick One Point Slope Form: (-15, 35): y = -2(x + 15) + 35 (-9, 23): y = -2(x + 9) + 23 Slope Intercept Form: y = -2x + 5 (-15,35) (-9, 23)

9. Example 7: Write the equation from the points: (0,-4) and (1.5, 2) Rate of Change:4 Y-intercept: (0, -4) Favorite Point:Pick One Point Slope Form: (0, -4): y = 4(x - 0) - 4 (1.5, 2): y = 4(x – 1.5) + 2 Slope Intercept Form: y = 4x - 4 (0, -4) (1.5, 2) y = 4x - 4

10. Example 8: Write the equation from the points: (10,-2) and (10, 8) Rate of Change:Undefined Y-intercept: Ummmm………………… Equation:x = 10 (10, -2) (10, 8)