Input/Output Tables

Front

What is an Input in an Input/Output Table?

Back

An Input is the value that is put into a function or equation to produce an Output.

Front

What is an Output in an Input/Output Table?

Back

An Output is the result obtained after applying a function or equation to an Input.

Front

In the equation y = 3x, what does '3' represent?

Back

The '3' represents the coefficient that indicates how much the Output (y) changes for each unit increase in the Input (x).

Front

If x = 2 in the equation y = 3x, what is the value of y?

Back

y = 3(2) = 6.

Front

What is the purpose of an Input/Output Table?

Back

An Input/Output Table is used to organize and display the relationship between Inputs and Outputs for a function.

Front

How do you find the Output if the Input is known?

Back

Substitute the Input value into the function or equation to calculate the Output.

Front

What is the missing Output when the Input is -27 in the equation y = 3x?

Back

y = 3(-27) = -81.

Front

What is the relationship between Input and Output in a linear function?

Back

In a linear function, the Output changes at a constant rate as the Input changes.

Front

If the Input is 5 and the Output is 14, what is the equation if the relationship is linear?

Back

The equation can be found using the slope-intercept form, for example, y = 2.8x - 1.

Front

What does it mean if an Input/Output Table has a negative Output?

Back

A negative Output indicates that the result of the function is below zero for the given Input.