Unit 3 - Relations, Functions, and Linear Relations B Class Notes

Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 1 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023...

Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 1 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 2 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 3 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 4 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 5 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 6 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 7 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 8 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 9 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 10 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 11 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 12 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 13 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 14 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 15 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 16 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 17 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 18 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 19 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 20 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 21 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 22 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 23 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 24 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 25 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 26 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 27 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 28 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 29 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 30 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 31 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 32 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 33 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 34 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 35 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 36 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 37 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 38 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 39 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 40 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 41 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 42 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 43 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 44 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 45 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 46 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 47 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 48 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 49 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 50 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 51 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 52 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 53 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 54 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 55 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 56 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 57 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 58 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 59 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 60 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 61 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 62 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 63 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 64 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 65 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 66 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 67 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 68 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 69 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 70 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 71 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 72 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 73 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 74 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 75 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 6. Interpreting & Sketching Graphs (p. 93 ­96) 7. Discrete vs. Continuous Data (p. 97 ­ 98) 8. Rate of Change (p. 99 ­ 103) 9. Properties of Linear Relations (p. 104 ­ 108) 76 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 10. Interpreting Graphs of Linear Functions (p. 109 ­ 111) *Describing the meaning of the horizontal (x) and vertical (y) intercepts. 11. Slope ­ Point form: y = mx + b, where m is the slope and b is the y­intercept. (p. 112 ­ 113) 12. 3 Ways to Graph a Line: (p. 114 ­ 116) 1. Slope ­ Intercept Method ­ plot the y­intercept and use the slope to continue the line. 2. Using Slope and any point ­ plot the given point and use the slope to continue the line. 3. Intercept Method ­ find and plot the x and y ­ intercepts *x­intercept ­ let y = 0; and y­intercept ­ let x = 0. 77 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 13. Finding the Equation from the Graph (p. 117 ­ 118) *Find the slope and y­intercept from the graph and put them into y = mx + b format. 14. Finding the Equation of a Line (p. 119 ­ 121) 15. Slope ­ Point Form: y ­ y = m(x ­ x ) (p. 122 ­ 127) 16. General Form: Ax + By + C = 0, where A is a whole number (cannot be a fraction or negative), and B and C are integers. (p. 128 ­ 130) 17. Slopes of Parallel & Perpendicular Lines SAME Slopes Slopes are Negative Reciprocals (p. 132 ­ 135) (flip it & change the sign) 78 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 79 Unit 3 ­ Relations, Functions and Linear Relations B Class Notes November 27, 2023 80