8.F.1-5 Functions Review

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, where the rate of change is constant.

Front

How can you determine if a table represents a linear relationship?

Back

You can determine if a table represents a linear relationship by checking if the rate of change (slope) between the x and y values is constant.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed, meaning the rate of change is not constant.

Front

What is the equation of a quadratic function?

Back

The equation of a quadratic function is typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

What is the difference between fixed costs and variable costs?

Back

Fixed costs do not change with the level of output (e.g., initial fees), while variable costs change with the level of output (e.g., per-mile fees).

Front

How do you find the greatest rate of change among different functions?

Back

To find the greatest rate of change, compare the slopes of the functions; the function with the highest slope has the greatest rate of change.

Front

What is the meaning of the term 'initial fee' in a cost function?

Back

The initial fee is a fixed charge that must be paid before any additional costs are incurred, regardless of usage.

Front

What does the term 'per-mile fee' indicate in a rental agreement?

Back

The per-mile fee indicates the cost incurred for each mile driven, which is a variable cost that depends on usage.