Linearity and Continuity of Graphs

Front

What is a discrete function?

Back

A discrete function is one that consists of individual points and is not connected by a line or curve.

Front

What is a continuous function?

Back

A continuous function is one that can be graphed with a single line or curve, with no breaks or gaps.

Tags

CCSS.HSF-IF.C.7B

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is a function that does not graph to a straight line, and can include curves, parabolas, etc.

Tags

CCSS.8.F.A.3

Front

How can you determine if a function is discrete or continuous?

Back

You can determine if a function is discrete or continuous by examining its graph: discrete functions have individual points, while continuous functions have connected lines or curves.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is an example of a discrete function?

Back

An example of a discrete function is the number of students in a classroom, as it can only take whole number values.

Front

What is an example of a continuous function?

Back

An example of a continuous function is the height of a plant over time, which can take any value within a range.

Front

What is a piecewise function?

Back

A piecewise function is a function that has different expressions or rules for different parts of its domain.