Function Tables

Front

What is a function table?

Back

A function table is a chart that shows how each input (x-value) is related to an output (y-value) based on a specific function or rule.

Front

What does the equation y = 6x represent?

Back

This equation represents a linear function where the output (y) is six times the input (x).

Front

How do you find an ordered pair from a function?

Back

To find an ordered pair, substitute a value for x into the function and calculate the corresponding y value. The pair is written as (x, y).

Front

What is the output of the function y = x + 5 when x = 3?

Back

The output is 8, since y = 3 + 5.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2, which indicates that for every increase of 1 in x, y increases by 2.

Front

What does the term 'input' refer to in a function?

Back

The input is the value you provide to a function, usually represented by x.

Front

What does the term 'output' refer to in a function?

Back

The output is the result you get from a function after applying the input, usually represented by y.

Front

If the function rule is y = 4x, what is the output when the input is 5?

Back

The output is 20, since y = 4 * 5.

Front

What is the purpose of a function rule?

Back

A function rule defines the relationship between inputs and outputs, allowing you to calculate outputs for given inputs.

Front

How can you determine if a table of values represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).