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Algebra 1 Part 2 Chapter 4 Relations and Functions.

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Presentation on theme: "Algebra 1 Part 2 Chapter 4 Relations and Functions."— Presentation transcript:

1 Algebra 1 Part 2 Chapter 4 Relations and Functions

2 100 RELATIONSEQUATIONSFUNCTIONSSEQUENCE 200 300 400 100 200 300 400 EXIT 500

3 Make a table for {(-1,6), (2,3), (4,-5), (-3,3)} A100

4 Answer: x y Click here to return to the Board Answer A100 6 2 3 4-5 -3 3

5 Give the inverse of the relation {(-3,5),(4,-1),(2,-5),(-3,-1),(0,-2)} A200

6 Answer: {(5,-3),(-1,4),(-5,2),(-1,-3),(-2,0)} Click here to return to the Board A300

7 Make a mapping for {(-3,9),(-2,4),(-1,1), (0,0),(3,9)} A300

8 Answer: see students answers Click here to return to the Board A300

9 List the 5 ways to represent a relation A400

10 Answer: 1. A set of ordered pairs 2. Table 3. Mapping 4. Graph 5. Equation Click here to return to the Board A400

11 A person playing tennis uses 4 calories per hour for every pound he or she weighs. Make a table to show the relationship between weight and calories burned in one hour for people weighing 100, 110, 120 and 130 pounds. A500

12 Weight calories burned 100 400 110 440 120 480 130 520 Click here to return to the Board A500

13 Find the solution set for y=2x -1 given the replacement set {(-2,-5),(0,1),(1,-3),(3,5)} B100

14 Answer: {(-2,-5),(3,5)} Click here to return to the Board B100

15 Solve for y: 3x + 4y = -8 B200

16 Answer: Click here to return to the Board B200

17 Solve x-y=8 if the domain is {-4,-2,0,2,4} B300

18 Answer: {(-4,-12),(-2,-10),(0,-8),(2,-6),(4,-4)} Click here to return to the Board B400

19 List the 2 forms of a linear equation? B400

20 Answer: standard form: Ax + By = C slope-intercept form: y = mx + b Click here to return to the Board B400

21 Change to proper standard form: B500

22 Answer: 2x - 3y = 6 Click here to return to the Board B500

23 Is {(-2,1),(-1,8),(8,-2),(0,1),(1,-1)} a function? Why? or Why not? C100

24 Answer: yes, all domain values are paired with only one range value C100

25 Is this a function? Why? Or Why not? C200 -2 2 4 3 0 3 5

26 Answer: Yes, all domain values are paired with only one range value Click here to return to the Board C200

27 Is x=2y 2 -3 a function? Why? or Why not? C300

28 Answer: no, the y value cant be squared Click here to return to the Board C400

29 If f(x) = x 2 - x find f(-3) C400

30 Answer: f(-3) = 12 Click here to return to the Board C400

31 If g(x) =x 2 -2x + 3 find g(5p) C500

32 Answer: 25p 2 - 10p + 3 Click here to return to the Board C500

33 Is -3, -1, 1, 3, 5... an arithmetic sequence? If yes, what is the pattern? D100

34 Answer: yes, (add 2) Click here to return to the Board D100

35 Find the next 3 terms of the arithmetic sequence: 8, 5, 2, -1... D200

36 Answer: -4, -7, -10 Click here to return to the Board D200

37 D300 Find the next 3 terms in the sequence: 10, 6, 11, 7, 12, 8...

38 Click here to return to the Board D300 Answer: 13, 9, 14

39 D400 Find the next three terms in the sequence: 19, 14, 8, 1...

40 Click here to return to the Board D400 Answer: -7, -16, -26

41 D500 Find the next three terms in the sequence: x, 4x - 1, 9x - 2, 16x - 3...

42 Click here to return to the Board D500 Answer: 25x - 4, 36x - 5, 49x - 6


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