Input/Output Tables

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

This equation represents a linear function where 'y' is the output, 'x' is the input, 4 is the slope, and 3 is the y-intercept.

Substitute the input value for 'x' in the equation and solve for 'y'.

y = 4(2) + 3 = 8 + 3 = 11.

The slope is 4, which indicates that for every 1 unit increase in x, y increases by 4 units.

The y-intercept is 3, which is the value of y when x = 0.

Use the function rule to substitute the given input values and calculate the corresponding output values.

y = -4 + 37 = 33.

The purpose is to organize and visualize the relationship between input values and their corresponding output values.

If the output values change by a constant amount as the input values increase by a constant amount, the function is linear.