The video tutorial explains the concept of functions, how to identify them from tables and graphs, and introduces the notation used in mathematics. It uses examples like a function machine to demonstrate how to derive equations from input-output pairs. The tutorial also covers more complex function puzzles and how to analyze input-output tables. Finally, it shows how to determine functions from graph lines, providing a comprehensive understanding of functions in mathematics.

What is a function in mathematical terms?

• A rule that only applies to independent variables

• A specific relationship between independent and dependent variables

• A rule that only applies to dependent variables

• A random relationship between variables

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CCSS.8.F.A.1

What does 'f(x)' represent in mathematics?

• A different concept from 'y'

• The function of y

• A constant value

• The same as 'y'

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CCSS.HSF.IF.A.1

If you input 2 into a function machine and get 6, which of the following could be the function?

• y = x + 4

• y = x + 2

• y = 3x

• y = 2x

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

If you input 7 into a function machine and get 11, which function is likely correct?

• y = 2x + 1

• y = x + 3

• y = 3x

• y = x + 4

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the function if inputting 2 gives 5, 5 gives 11, 6 gives 13, and 9 gives 19?

• y = 3x

• y = x + 4

• y = 2x + 1

• y = x + 3

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the rule for the function if inputting 1 gives 5, 2 gives 10, and 3 gives 15?

• y = x + 6

• y = x + 5

• y = 5x

• y = x + 4

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the function if inputting 2 gives 0, 3 gives 1, and 4 gives 2?

• y = x + 1

• y = 2x

• y = x + 2

• y = x - 2

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the function if inputting 1 gives 5, 2 gives 6, and 3 gives 7?

• y = x + 4

• y = x + 5

• y = x + 6

• y = x + 1

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

How do you determine the function of a line on a graph?

• By looking at the color of the line

• By finding points and analyzing their relationships

• By measuring the length of the line

• By guessing the values

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the function of a line if the points are (0, 1), (2, 3), (4, 5), and (6, 7)?

• y = x + 3

• y = x + 4

• y = x + 2

• y = x + 1

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2