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 rule or function.

Front

What does the equation y = 7x represent?

Back

This equation represents a linear function where y is directly proportional to x, with a constant of proportionality of 7.

Front

How do you find the output value when given an input in a function?

Back

To find the output value, substitute the input value into the function's equation and solve for the output.

Front

What is the output when x = 2 in the equation y = 8 - 3x?

Back

When x = 2, y = 8 - 3(2) = 2.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope of the line is 4, which indicates that for every increase of 1 in x, y increases by 4.

Front

How do you determine if a table is correct for a given function?

Back

A table is correct if the output values match the results obtained by substituting the input values into the function's equation.

Front

What is the missing y value if x = 3 in the equation y = 4x + 3?

Back

When x = 3, y = 4(3) + 3 = 15.

Front

What are the two missing output values for the function y = 2x - 4 when x = 4 and x = 5?

Back

For x = 4, y = 2(4) - 4 = 4; for x = 5, y = 2(5) - 4 = 6. The missing output values are 4 and 6.

Front

What is the relationship between input and output in a linear function?

Back

In a linear function, the relationship between input and output is constant, meaning that the output changes at a constant rate as the input changes.

Front

What does it mean if a function is linear?

Back

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