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 in an input/output table?

Back

To determine the rule, analyze the relationship between the input and output values to identify a consistent pattern or operation (e.g., addition, subtraction, multiplication, division).

Front

What does it mean to add 7 in an input/output table?

Back

Adding 7 means that for every input value, the output value is obtained by adding 7 to the input.

Front

If the input is 6 and the output is 3, what could be a possible rule?

Back

A possible rule could be subtracting 3 from the input (6 - 3 = 3).

Front

What is a common operation used in input/output tables?

Back

Common operations include addition, subtraction, multiplication, and division.

Front

How can you find the output if the input is known?

Back

To find the output, apply the identified rule to the input value.

Front

What does it mean if the output is 8 times the input?

Back

It means that for every input value, the output value is calculated by multiplying the input by 8.

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.

Front

How can you represent an input/output table visually?

Back

An input/output table can be represented as a two-column table, with one column for inputs and another for outputs.

Front

What is the significance of identifying the rule in an input/output table?

Back

Identifying the rule helps in predicting outputs for new inputs and understanding the relationship between variables.