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 is related to an output value through a specific function or rule.

Front

What does the equation y = 4x + 3 represent?

Back

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.

Front

How do you find the output value for a given input in the equation y = 4x + 3?

Back

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

Front

If x = 2, what is the output (y) for the equation y = 4x + 3?

Back

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

Front

What is the slope in the equation y = 4x + 3?

Back

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

Front

What is the y-intercept in the equation y = 4x + 3?

Back

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

Front

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

Back

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

Front

If y = -4 + x, what is the output when x = 37?

Back

y = -4 + 37 = 33.

Front

What is the purpose of an Input/Output Table?

Back

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

Front

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

Back

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