Functions and Proportional Relationships

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per 1 unit of another quantity.

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant.

Front

How can you identify a function from a mapping diagram?

Back

In a mapping diagram, if each input is connected to exactly one output, it is a function.

Front

What is the slope of a line in a graph?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

What does it mean for a graph to be linear?

Back

A linear graph is a graph that represents a linear function, which has a constant rate of change and forms a straight line.