1. UNIT 2 1.7, 4.8 Introduction to Functions

2. 1.7, 4.8Introduction to Functions Definitions

3. 1.7, 4.8 Introduction to Functions InputOutput 15 2 3 4 5

4. 1.7, 4.8 Introduction to Functions InputOutput 10.5 2 3 4 5

5. 1.7, 4.8 Introduction to Functions Solution “b” Is a NOT a function. The input {1} has two different outputs {5, 7}.

6. 1.7, 4.8 Introduction to Functions

7. 1.7, 4.8 Introduction to Functions Practice Decide whether the graph represents y as a function of x. If yes, then state the domain and range.

8. Unit 2 4.3 Quick graph (x, y intercepts) 4.6 Quick graph (slope-intercept) Homework (due Monday) 4.315 – 54 m3 no 33 4.624 – 45 m3 Use any method to graph. Ignore the directions. Two lines per coordinate plane.

9. 4.3 Quick graph (x, y intercepts) 4.6 Quick graph (slope-intercept)

10. Method #2 Quick graph using x, y intercepts

11. Examples

12. 4.6 Graphing lines using the slope and y- intercept Slope intercept Form Slopey – intercept – starting point on the Y- axis Directions to the next point

13. 4.6 Graphing y = mx + b

14. Graph using any method

15. UNIT 2 4.4 The slope of a line 5.1writing a linear equation. Homework 4.4 21 – 41 odd 5.1 12 – 22 even write all equations in Slope - intercept form and Standard form Slope Slope -intercept Standard

16. x y run change in x The slope m of the nonvertical line passing through the points (x 1, y 1 ) and (x 2, y 2 ) is Read y 1 as “y sub one” Read x 1 as “x sub one” m = = (x1, y1)(x1, y1) (x 1, y 1 ) (x 2, y 2 ) (x2, y2)(x2, y2) y2 - y1y2 - y1 (y 2 - y 1 ) x2 - x1x2 - x1 (x 2 - x 1 ) FINDING THE SLOPE OF A L INE (x2, y2)(x2, y2) (x1, y1)(x1, y1) rise change in y =

17. Examples

18. Find the slope of the line passing through the given points. x, y

19. 4.4 practice

20. 5.1 Writing linear equations

21. 5.1 writing linear equations given slope and y - intercept

22. 5.1 slope – intercept form standard form

23. Unit 2 5.2, 5.3 writing linear equations

24. 5.3 homework Give your self 5 spaces per problem Write a linear equation in slope – intercept form and standard form.

25. 5.2 writing linear equations given slope and a point Point – slope form

27. 5.2 writing linear equations given slope and a point 1)m = 2, ( 5, 15) 2)m = 3, ( 2, -6) 3)m =, ( -8, 4) 4)m = -2, ( -3, 8) 5)m =, ( 9, -1)

28. 5.3 writing linear equations given two points.

29. 1)(5, 8), (7, 12) 2)(2, 4), (3, 7) 3)(-1, 8), (2, 2)

30. Cw 5.2 Write an equation of a line. 1)m = 3, (1, 8) 2)m = -1, (2, 4) 3)m = 4, (-1, 3) 4)m = -5, (7, -2) 5)m =, (4, 7) 6)m = -4, (-3, -7) 7)m = 1, (0, -6) 8)m =, (3, -5)

31. Hw 5.2, 5.3 Power point Write an equation of a line. 9)(1,6),(4,12) 10) (4,2),(5,5) 11) (-2,4),(1,1) 12) (0,10),(4,2)

32. Write a linear equation in the form y = mx + b