Find the Rule from Input/Output Tables

Front

What is an input/output table?

Back

An input/output table is a mathematical tool used to show the relationship between input values (independent variable) and output values (dependent variable) based on a specific rule or function.

Front

How do you determine the rule from an input/output table?

Back

To determine the rule, analyze the relationship between the input and output values, looking for patterns such as addition, subtraction, multiplication, or division.

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What does the notation 'x 10' indicate in an input/output table?

Back

The notation 'x 10' indicates that each input value is multiplied by 10 to obtain the corresponding output value.

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What does the notation '+ 1.5' indicate in an input/output table?

Back

The notation '+ 1.5' indicates that 1.5 is added to each input value to obtain the corresponding output value.

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What does the notation '÷ 10' indicate in an input/output table?

Back

The notation '÷ 10' indicates that each input value is divided by 10 to obtain the corresponding output value.

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What does the notation 'x 4' indicate in an input/output table?

Back

The notation 'x 4' indicates that each input value is multiplied by 4 to obtain the corresponding output value.

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What does the notation '- 9' indicate in an input/output table?

Back

The notation '- 9' indicates that 9 is subtracted from each input value to obtain the corresponding output value.

Front

What is the difference between a linear and a non-linear rule in input/output tables?

Back

A linear rule produces a straight line when graphed, indicating a constant rate of change, while a non-linear rule produces a curve, indicating a variable rate of change.

Front

How can you verify the rule found in an input/output table?

Back

You can verify the rule by applying it to all input values and checking if the output values match those given in the table.

Front

What is a function in the context of input/output tables?

Back

A function is a specific relationship where each input value corresponds to exactly one output value.