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Gofo and have out Graphing Stories

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1 Gofo and have out Graphing Stories
Gofo and have out Graphing Stories Sheet

2 Agenda *Dependent & Independent Variable *Domain/Range Foldable
*Domain & Range Scoot F-IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Also F-IF.A.1, A-CED.A.2

3 Which ARE NOT functions? A. {(-2, 4), (-4, 4), (-4, 3), (-3, 4)} B. C.
D. E. {(-3,1), (0,-3),(3,1), (3,-1)} F. X Y -1 1 X Y -7 5 -7.01 -2 -4

4 Which inequality would represent the following situation:
Fletcher is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge of $0.75 for the actual bag. Fletcher cannot spend more than $50. Write and solve an inequality to find the most Fletcher can spend on the items for each bag.  Let x represent the amount Fletcher spends on each bag. A.  x ≥ 50 B.  (10)(0.75)x ≥  50 C.  x+10(0.75) ≤  50 D.  10x+0.75(10)≤ 50

5 Which inequality would represent the following situation:
Fletcher is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge of $0.75 for the actual bag. Fletcher cannot spend more than $50. Write and solve an inequality to find the most Fletcher can spend on the items for each bag.  Let x represent the amount Fletcher spends on each bag. A.  x ≥ 50 B.  (10)(0.75)x ≥  50 C.  x+10(0.75) ≤  50 D.  10x+0.75(10)≤ 50

6 So far you know that FUNCTIONS...
*can be represented by ordered pairs, tables, graphs, or mappings. *must have a unique output for each input.  (for graphs this means passing the Vertical Line Test) *can be continuous or discrete

7 Next...Dependent vs. Indepepndent Have out your FRAYER MODEL!
AND Domain vs. Range Have out your FRAYER MODEL!

8 More vocab-yet another way to say “x” or “y”

9 Ex 1

10 Ex 2

11 Ex 3

12 Ex 4

13 Let’s go back to Ex 2 and write the function

14 Let’s go back to Ex 2 and write the function

15 Ex 3

16 Ex 4

17

18 Today’s in-depth look at functions: DOMAIN vs. RANGE
All possible values for y aka output aka dependent variable All possible values for x aka input aka independent variable

19 Domain and Range of DISCRETE data
𝐷: 1, 3, 5 𝑅: {6} Set Notation 𝐷: −1, 2, 5 𝑅: {−4, 8, 20}

20 and not repeated. Usually in set notation, items are ordered,
𝐷: 𝑅:{ }

21 and not repeated. Usually in set notation, items are ordered,
𝐷: 𝑅:{ }

22 Domain and Range of continuous data

23 Domain and Range of continuous data

24 Table can’t list all values
Domain and Range of continuous data 𝐷: 𝑅: Table can’t list all values 𝐷: 𝑅:

25 Domain and Range of continuous data
𝐷: {−∞<𝑥< ∞} 𝑅: {0<𝑦< ∞} Set Notation 𝐷: 𝑅: {0≤𝑥< ∞} {−∞<𝑦< ∞}

26 Domain and Range Foldable

27 DOMAIN Foldable -∞

28 R A N G E Foldable -∞

29 DOMAIN Foldable -∞

30 Foldable R A N G E -∞

31 IXL 100 grid


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