Functions warmup ... with a bunch of words

Front

What is a function?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of the function, indicating how much the output (y) changes for a unit change in the input (x).

Front

What does the y-intercept (b) represent in a linear function?

Back

The y-intercept (b) is the value of y when x is 0, representing the starting point of the function on the y-axis.

Front

In the function y = mx + b, what do m and b stand for?

Back

In the function y = mx + b, m stands for the slope and b stands for the y-intercept.

Front

How do you identify the independent variable in a function?

Back

The independent variable is the variable that you can control or change, often represented on the x-axis.

Front

How do you identify the dependent variable in a function?

Back

The dependent variable is the variable that depends on the independent variable, often represented on the y-axis.

Front

What is the difference between a flat fee and a variable fee in a function?

Back

A flat fee is a constant amount added to the total, while a variable fee changes based on the amount of the independent variable.

Front

If a function has a negative slope, what does that indicate about the relationship between the variables?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What does it mean if two functions have the same slope?

Back

If two functions have the same slope, they increase or decrease at the same rate, but may have different y-intercepts.

Front

How can you graph a linear function?

Back

To graph a linear function, plot the y-intercept on the y-axis and use the slope to find another point, then draw a straight line through the points.