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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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.

Tags

CCSS.5.OA.B.3

Front

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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.

Tags

CCSS.5.OA.B.3

Front

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.

Tags

CCSS.5.OA.B.3

Front

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.3

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1