Input Output Tables

Front

What is an Input Output Table?

Back

An Input Output Table is a mathematical table that shows how each input value relates to an output value through a specific rule or function.

Front

What does the term 'input' refer to in an Input Output Table?

Back

The 'input' refers to the value that is put into a function or equation to produce an output.

Front

What does the term 'output' refer to in an Input Output Table?

Back

The 'output' is the result obtained after applying a function or equation to the input value.

Front

If the function is y = 2x, what is the output when the input is 5?

Back

The output is y = 2(5) = 10.

Front

How do you find a missing output value in an Input Output Table?

Back

To find a missing output value, apply the function or rule to the corresponding input value.

Front

What is the relationship between input and output in a linear function?

Back

In a linear function, the relationship between input and output is represented by a straight line, where the output changes at a constant rate as the input changes.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of the output (y) with respect to the input (x).

Front

If y = 3x - 4, what is the output when x = 2?

Back

The output is y = 3(2) - 4 = 2.

Front

What does it mean if an output value is negative in an Input Output Table?

Back

A negative output value indicates that the result of the function is below zero, which can represent a loss or a decrease in a real-world context.

Front

How can you determine if a function is linear from an Input Output Table?

Back

A function is linear if the output values change by a constant amount as the input values increase by the same amount.