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 (x) and output values (y) based on a specific function or rule.

Front

How do you find the output value in an Input/Output table?

Back

To find the output value, substitute the input value into the function or equation that defines the relationship between input and output.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function where 'm' is the slope and 'b' is the y-intercept.

Front

What is the slope in a linear equation?

Back

The slope is a measure of how steep a line is, representing the rate of change of the output value with respect to the input value.

Front

How can you determine missing values in an Input/Output table?

Back

You can determine missing values by using the function or equation to solve for the unknown input or output.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the output value when the input value is zero.

Front

What is the process for solving for a missing input value?

Back

To solve for a missing input value, rearrange the equation to isolate the input variable and substitute the known output value.

Front

How do you identify a correct Input/Output table for a given function?

Back

To identify a correct Input/Output table, check that the output values correspond accurately to the input values based on the function's rule.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, indicating a constant rate of change.