Functions, Proportionality, and Equations of a Line

Front

What is a function?

Back

A function is a relation where every input has only one output.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

Front

What is the definition of proportionality in graphs?

Back

A graph is proportional if it is linear and passes through the origin.

Front

What does the ordered pair (0,0) represent?

Back

The ordered pair (0,0) is known as the origin.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not pass through the origin and may not be linear.

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two quantities to be directly proportional?

Back

Two quantities are directly proportional if they increase or decrease at the same rate.

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a non-linear function does not.