Writing Function Rules from tables

Front

What is a function rule?

Back

A function rule is an equation that describes the relationship between input (x) and output (y) values in a function.

Front

How do you determine a function rule from a table?

Back

To determine a function rule from a table, look for a consistent pattern in how the output values change as the input values change.

Front

What does the equation y = x - 3 represent?

Back

This equation represents a linear function where the output (y) is 3 less than the input (x).

Front

If n represents the input, what does the function rule 2n mean?

Back

The function rule 2n means that for every input n, the output is double that input.

Front

What is the significance of the slope in a function rule?

Back

The slope indicates how much the output (y) changes for a unit change in the input (x).

Front

What does the equation y = x + 4 indicate about the relationship between x and y?

Back

This equation indicates that the output (y) is 4 more than the input (x).

Front

How can you express the total cost (C) of tickets in terms of the number of tickets (T)?

Back

The total cost can be expressed as C = price per ticket x T.

Front

What is the function rule for a table where the output is always 5 times the input?

Back

The function rule is y = 5x.

Front

What does the equation C = 12 x T tell us?

Back

This equation tells us that the total cost (C) is 12 times the number of tickets (T) purchased.

Front

What is the output when the input is 3 in the function rule y = x - 3?

Back

The output is 0, because 3 - 3 = 0.