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Graphing absolute value functions unit 1

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Presentation on theme: "Graphing absolute value functions unit 1"— Presentation transcript:

1 Graphing absolute value functions unit 1

2 I can graph a linear function using various graphing methods.
KEY CONTENT: I can solve a real-life problem by writing and solving an appropriate linear equation and inequality. I can graph a linear function using various graphing methods. e-value/shifts-in-absolute-value-graphs/

3 Absolute value parent function

4 Guided practice u1a8 Example 1

5 Guided practice u1a8 Example 2

6 Guided practice u1a8 Example 3

7 Guided practice u1a8 Example 4

8 Guided practice u1a8 Example 5

9 Guided practice u1a8 Example 6

10 Guided practice u1a8 Example 7

11 Guided practice u1a8 Example 8

12 Guided practice u1a8 Example 9

13 Guided practice u1a8 Example 10

14 Guided practice u1a8 Example 11

15 Guided practice u1a8 Example 12

16 Independent practice

17 Independent practice

18 Independent practice

19 Independent practice

20 Guided practice u1a8 Example 13

21 Independent practice u1a8 Example 14

22 Independent practice u1a8 Example 14

23 Independent practice u1a8 Example 15

24 Independent practice u1a8 Example 15

25 Independent practicE u1a8 Example 16

26 Independent practicE u1a8 Example 16

27 Independent practice u1a8 Example 17

28 Independent practice u1a8 Example 17

29 guided practice u1a8 Example 18
The front of a camping tent an be modeled by the function, where x and y are measured in feet and the x-axis represents the ground.

30 guided practice u1a8 Example 18
Graph the function, on a graphing calculator. Identify and interpret the domain and range of the function in the given context.

31 guided practice u1a8 Example 18
Identify and interpret the domain and range of the function in the given context. Domain: The tent is five feet wide. Range: The tent is 3.5 feet tall.

32 independent practice u1a8 Example 19
A boy band’s new single is released. Weekly sales s (in thousands) increase steadily for a while and then decrease as given by the function, where t is the time (in weeks). Graph the function on a graphing calculator. What is the maximum number of singles sold in one week?

33 independent practice u1a8 Example 19
Graph the function on a graphing calculator. What is the maximum number of singles sold in one week? 40,000 singles

34 Checking for understanding… u1a8 Example 20
Perform the following transformation. Then write a rule for the graph of the function. Reflect across the x-axis.

35 Checking for understanding… u1a8 Example 20
Reflect across the x-axis.

36 Checking for understanding… u1a8 Example 21
Write your response in your notebook. What is the domain and range of the function ? Explain why the range is limited.

37 Checking for understanding… u1a8 Example 21
What is the domain and range of the function ? Domain: Range: Explain why the range is limited. The range must be equal to or greater than zero because the absolute value of any non-zero number is always positive.

38 Checking for understanding… u1a8 Example 22
Discuss your answer with a classmate. When writing a function, what is the difference between shifting three units to the right and three units to the left?

39 Checking for understanding… u1a8 Example 23
Write your response in your notebook. Given the graph of the function is shifted four units to the left, six units upward and reflects across the x-axis, identify the coordinates of the vertex.

40 Checking for understanding… u1a8 Example 23
Given the graph of the function is shifted four units to the left, six units upward and reflects across the x-axis, identify the coordinates of the vertex. (-4,6)


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