Review - Functions and Equations

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, represented by a straight line that passes through the origin (0,0).

Front

What is the vertical line test?

Back

The vertical line test is a method used 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 does it mean for a set of ordered pairs to represent y as a function of x?

Back

A set of ordered pairs represents y as a function of x if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If any horizontal line intersects the graph more than once, the function is not one-to-one.

Front

What is the equation of a proportional relationship?

Back

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

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio and does not pass through the origin (0,0).

Front

How can you tell if a graph is a function?

Back

A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

What is an example of a proportional equation?

Back

An example of a proportional equation is y = 3x.

Front

What is an example of a non-proportional equation?

Back

An example of a non-proportional equation is y = 2x + 1.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.