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 and output values based on a specific rule or function.

Front

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

Back

To determine the rule, analyze the relationship between the input and output values, looking for a consistent pattern or operation (addition, subtraction, multiplication, etc.).

Front

What does a negative rule in an input/output table indicate?

Back

A negative rule indicates that the output value decreases as the input value increases, typically through subtraction.

Front

What does a positive rule in an input/output table indicate?

Back

A positive rule indicates that the output value increases as the input value increases, typically through addition.

Front

If the rule is -4, what does this mean for the input/output relationship?

Back

It means that for every input value, the output value is 4 less than the input value.

Front

If the rule is +14, what does this mean for the input/output relationship?

Back

It means that for every input value, the output value is 14 more than the input value.

Front

What is the significance of the constant in a rule like +5?

Back

The constant indicates the amount added to the input to get the output, showing a linear relationship.

Front

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

Back

You can verify the rule by applying it to all input values and checking if the corresponding output values match.

Front

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

Back

A linear rule results in a straight line when graphed, while a non-linear rule results in a curve.

Front

What is an example of a rule that involves multiplication?

Back

An example would be a rule like 'multiply by 2', where each output is double the input.