Multiple Representations

Front

What is a function?

Back

A function is a relationship between two sets of values where each input (x) has exactly one output (y).

Front

What does the equation y = x + 4 represent?

Back

It represents a linear relationship where the output (y) is always 4 units greater than the input (x).

Front

What is the dependent variable in a function?

Back

The dependent variable is the output of the function, which depends on the input value.

Front

What is the independent variable in a function?

Back

The independent variable is the input of the function, which can be changed freely.

Front

What does it mean if a relationship is multiplicative?

Back

A multiplicative relationship means that one quantity is a constant multiple of another quantity.

Front

What does it mean if a relationship is additive?

Back

An additive relationship means that a constant is added to one quantity to get another quantity.

Front

How do you model total earnings based on hourly wage and hours worked?

Back

Total earnings (W) can be modeled by the equation W = hourly wage (rate) * hours worked (t).

Front

What is a dependent relationship in a graph?

Back

In a graph, a dependent relationship means that one variable changes in response to another variable.

Front

What is an example of a real-world function?

Back

An example is the relationship between distance traveled and time, where distance = speed * time.

Front

What is the slope of a line in a graph?

Back

The slope represents the rate of change between the dependent and independent variables.