Understanding Linear and Exponential Functions

The video tutorial explains how to identify linear and exponential functions using tables. Linear functions show a pattern of repeated addition, while exponential functions show repeated multiplication. The tutorial demonstrates how to fill in missing values in tables and verify function types by plotting points on a graph. Linear functions form a straight line, whereas exponential functions form a curve.

What pattern indicates a linear function?

• Repeated addition

• Repeated division

• Repeated multiplication

• Repeated subtraction

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CCSS.HSF-LE.A.1A

What pattern indicates an exponential function?

• Repeated addition

• Repeated subtraction

• Repeated multiplication

• Repeated division

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

In the first table, what is the pattern of the function values?

• Halving each time

• Increasing by 3

• Increasing by 2

• Doubling each time

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the missing function value after 6 in the first table?

• 9

• 7

• 10

• 8

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

In the second table, what operation is used to find the next function value?

• Division

• Subtraction

• Multiplication

• Addition

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the missing function value after 16 in the second table?

• 18

• 30

• 32

• 20

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CCSS.HSF-IF.C.7A

How does the graph of a linear function appear?

• As a zigzag

• As a line

• As a curve

• As a circle

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CCSS.HSF-IF.C.7E

How does the graph of an exponential function appear?

• As a line

• As a curve

• As a zigzag

• As a circle

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What verifies that f(x) is a linear function when plotted?

• It forms a circle

• It forms a zigzag

• It forms a line

• It forms a curve

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CCSS.HSF-IF.C.7E

What verifies that g(x) is an exponential function when plotted?

• It forms a line

• It forms a curve

• It forms a zigzag

• It forms a circle

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CCSS.HSF-IF.C.7E