Graphing: Input/Output Table

Front

What is an Input/Output Table?

Back

An Input/Output Table is a mathematical table 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.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

If x = 0 in the equation y = 3x + 5, what is y?

Back

y = 5.

Front

What is the slope in the equation y = -2x + 4?

Back

The slope is -2.

Front

What is the y-intercept in the equation y = 4x - 7?

Back

The y-intercept is -7.

Front

How do you determine if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

What is the output when x = 2 in the equation y = 5x - 3?

Back

y = 7.

Front

What does it mean if the output value is negative?

Back

A negative output value indicates that the result of the function is below zero, which can represent various real-world scenarios.

Front

How do you fill in missing values in an Input/Output Table?

Back

You can fill in missing values by using the function or equation to calculate the output for the given input.