8th Grade - Functions Review

Front

What is a function?

Back

A function is a relation 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 of a line represent?

Back

The slope of a line represents the rate of change of the function; it indicates how much the output (y) changes for a unit change in the input (x).

Front

What is a linear function?

Back

Front

How do you determine if a function has a negative slope?

Back

A function has a negative slope if, as the input (x) increases, the output (y) decreases.

Front

What is the equation of a line with a zero slope?

Back

Front

What is the y-intercept of a linear function?

Back

Front

What does it mean for a function to have a greater rate of change?

Back

A function has a greater rate of change if its slope (m) is steeper compared to another function.

Front

How can you represent a cost function?

Back

Front

What is the significance of a flat fee in a cost function?

Back

A flat fee is a constant charge that does not change with the number of units or hours, representing the initial cost before any variable costs are added.

Front

How do you find the total time spent at a constant speed from a graph?

Back

To find the total time spent at a constant speed, look for the segments of the graph that are horizontal, and sum the durations of these segments.