Input and Output Tables

Front

What is an input-output table?

Back

An input-output table is a mathematical representation that shows how inputs are transformed into outputs through a specific function or rule.

Front

How do you determine the output from a given input in an input-output table?

Back

To determine the output, apply the function or rule defined for the table to the given input.

Front

What is the purpose of using input-output tables in problem-solving?

Back

Input-output tables help visualize relationships between variables, making it easier to analyze and solve application-based problems.

Front

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

Back

A function is a specific relationship where each input is associated with exactly one output.

Front

Can an input-output table represent a linear function?

Back

Yes, an input-output table can represent a linear function if the relationship between inputs and outputs is linear.

Front

What is the difference between independent and dependent variables in an input-output table?

Back

The independent variable is the input, while the dependent variable is the output that depends on the input.

Front

How can you identify a pattern in an input-output table?

Back

Look for consistent changes in outputs as inputs change, which can indicate a mathematical relationship.

Front

What does it mean if an input-output table has multiple outputs for a single input?

Back

It means that the relationship is not a function, as a function can only have one output for each input.

Front

How can you use an input-output table to solve real-world problems?

Back

By modeling real-world scenarios with input-output tables, you can analyze data and make predictions based on established relationships.

Front

What is a rule in the context of an input-output table?

Back

A rule is a mathematical expression or equation that defines how to convert inputs into outputs.