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 their corresponding output values, often used to identify patterns or rules.

Front

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

Back

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

Front

What does a rule of +9 indicate in an input/output table?

Back

A rule of +9 indicates that for every input value, the output value is obtained by adding 9 to the input.

Front

If an input/output table has a rule of +10, what is the output when the input is 5?

Back

If the input is 5, the output would be 15 (5 + 10 = 15).

Front

What does a rule of -9 indicate in an input/output table?

Back

A rule of -9 indicates that for every input value, the output value is obtained by subtracting 9 from the input.

Front

If an input/output table has a rule of +4, what is the output when the input is 3?

Back

If the input is 3, the output would be 7 (3 + 4 = 7).

Front

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

Back

Identifying the rule helps in predicting future outputs based on new input values and understanding the relationship between the two.

Front

How can you represent a rule from an input/output table algebraically?

Back

A rule can be represented algebraically using an equation, such as y = x + 9, where y is the output and x is the input.

Front

What is the output if the input is 10 and the rule is +6?

Back

If the input is 10 and the rule is +6, the output would be 16 (10 + 6 = 16).

Front

Can input/output tables represent non-linear relationships?

Back

Input/output tables typically represent linear relationships, but they can also be used to show non-linear relationships if the rule involves powers or other non-linear operations.