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Laabri

#6 Inequalities and Interval Notation Due 8/26/20

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Last updated 3 months ago
49 Nsɛmmisa
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2

Essential Question: How can the domain and range be written in interval notation?

Students will be able to convert the domain and range of functions and into interval notation.

Show you work for full credit.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Look at the graph of f(x) and describe what the function is doing between x=-4 and x=3.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

All the values of y on the graph are between -6 and 4.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

All the values of x on the graph are between -8 and 7.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

How would you find the domain of this function?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Use interval notation to describe the domain of this function.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Use the graph on each number line to write the subset of numbers it represents.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Is this an open or closed interval?

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Is this an open or closed interval?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Is this an open or closed interval?

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Is this an open or closed interval?

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Is this an open or closed interval?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Is this an open or closed interval?

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Is this an open or closed interval?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Put the interval notations and graphs in the right category.

  • (3,5)

  • [3.5]

  • [3,5)

  • [5,∞)

  • (3,5]

  • (-∞,-9)

  • Open Interval

  • Closed Interval

  • Both

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Match the inequailty and graph with the correct interval notation.

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Use interval notation to describe the domain of this function.

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Use interval notation to describe the domain of this function.

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

How would you find the range of this function?

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Use interval notation to describe the range of this function.

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Use interval notation to describe the range of this function.

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Use interval notation to describe the range of this function.

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

What intervals of x is the function f(x) increasing?

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

For what interval of x is the function f(x) decreasing?

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

For what interval of x is the function f(x) negative?

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

For what interval of x is the function f(x) positive?

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

Write the following in interval notation. Use the little side keyboard to find infinity if you need it and type your answer.

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

Write the following in interval notation.

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

Write the following in interval notatin.

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

Match each graph to its domain and range.

Click HERE to watch the following tutorial on how to match. (Ignore the end of the video)

Draggable itemarrow_right_altCorresponding Item

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Asemmisa {{asɛmmisaAhyɛnsode}}
30.

Create a mapping diagram, table, and graph for the relation given by the following coordinates:

(-2, 4), (1, 0), (3, -1), (-4, 4)

Asemmisa {{asɛmmisaAhyɛnsode}}
31.

What is the domain? Use interval notation. No spaces.

Asemmisa {{asɛmmisaAhyɛnsode}}
32.

What is the range? Use interval notation. No spaces.

Asemmisa {{asɛmmisaAhyɛnsode}}
33.

What is the domain? Use interval notation. No spaces.

Asemmisa {{asɛmmisaAhyɛnsode}}
34.

What is the domain? Use interval notation. No spaces.

Asemmisa {{asɛmmisaAhyɛnsode}}
35.

What is the range? Use interval notation. No spaces.

Asemmisa {{asɛmmisaAhyɛnsode}}
36.

What is the domain? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Asemmisa {{asɛmmisaAhyɛnsode}}
37.

What is the range? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Asemmisa {{asɛmmisaAhyɛnsode}}
38.

What is the domain? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Asemmisa {{asɛmmisaAhyɛnsode}}
39.

What is the domain? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Asemmisa {{asɛmmisaAhyɛnsode}}
40.

What is the domain? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Asemmisa {{asɛmmisaAhyɛnsode}}
41.

What is the range? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Asemmisa {{asɛmmisaAhyɛnsode}}
42.

What is the domain of the function?

Asemmisa {{asɛmmisaAhyɛnsode}}
43.

What is the range of the function?

Asemmisa {{asɛmmisaAhyɛnsode}}
44.

What is the range of the function?

Asemmisa {{asɛmmisaAhyɛnsode}}
45.

What is the domain of the function?

Asemmisa {{asɛmmisaAhyɛnsode}}
46.

What is the domain of the function?

Asemmisa {{asɛmmisaAhyɛnsode}}
47.

What is the range of the function?

Asemmisa {{asɛmmisaAhyɛnsode}}
48.

What is the domain of the function?

Asemmisa {{asɛmmisaAhyɛnsode}}
49.

What is the range of the function?