Input/Output Tables

Front

What is an Input/Output Table?

Back

An Input/Output Table is a mathematical table that displays the relationship between input values (x) and output values (y) based on a specific function or rule.

Front

How do you calculate the output in an Input/Output Table?

Back

To calculate the output, substitute the input value into the function or equation to find the corresponding output value.

Front

What does the equation y = 4x + 3 represent in an Input/Output Table?

Back

This equation represents a linear function where for every input x, the output y is calculated by multiplying x by 4 and then adding 3.

Front

If x = 1 in the equation y = 4x + 3, what is y?

Back

y = 4(1) + 3 = 7.

Front

What is the output when x = 2 in the equation y = 7x?

Back

y = 7(2) = 14.

Front

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

Back

y = -4 + 37 = 33.

Front

What is the missing output when x = 5 in the equation y = 7x?

Back

y = 7(5) = 35.

Front

If y = -81, what is the corresponding input x in the equation y = 4x + 3?

Back

To find x, solve the equation: -81 = 4x + 3, which gives x = -21.

Front

What is the purpose of an Input/Output Table?

Back

The purpose is to organize and visualize the relationship between inputs and outputs, making it easier to understand functions.

Front

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

Back

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