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What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) }

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Presentation on theme: "What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) }"— Presentation transcript:

1 What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) }

2 What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) } Answer: {1, 4, 6, 10}

3 What is the range of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) }

4 What is the range of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) } Answer: {0, 3, 5.5, 9}

5 Is the relation a function? Why or why not? { (1, 3), (4, 5.5), (6, 9), (10, 0) }

6 Is the relation a function? Why or why not? { (1, 3), (4, 5.5), (6, 9), (10, 0) } Yes- each x-value is paired with exactly one y-value

7 Given the function g(x) = x 2 +6, evaluate g(-2).

8 g(-2)=(-2) 2 +6 = 4+6 = 10

9 Given the function h(x) = x+6, evaluate h(a+4).

10 h(a+4) = a+4+6 = a+10

11 What is the name of the test we can use to identify if the graph of a relation is a function?

12 Answer: Vertical line test

13 Is the following relation a function?

14 Is the following relation a function? No- fails vertical line test

15 What is the domain of this relation? (use correct notation)

16 What is the domain of this relation? (use correct notation) D: [-5, 5]

17 What is the range of this relation? (use correct notation)

18 What is the range of this relation? (use correct notation) R: [-5, 5]

19 Evaluate f(4)

20 Evaluate f(4) f(4)=3

21 f(x)=5. Solve for x.

22 f(x)=5. Solve for x. x=0

23

24 Bottom right is a function

25 What is the domain of this relation?

26 D: [-10, 10]

27 What is the range of this relation?

28 R: [-2, 6]

29 Evaluate f(9)

30 f(9)=-2

31 What is the domain of this relation?

32 D: [-5, ∞)

33 What is the range of this relation?

34 R: (- ∞, 5]

35 Evaluate f(3)

36 f(3)=2

37 What is the definition of a function?

38 A function is a relation in which each x-value is paired with exactly one y-value


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