Identify Function Characteristics

Front

What is a continuous function?

Back

A continuous function is a function that does not have any breaks, jumps, or holes in its graph. It can be drawn without lifting the pencil from the paper.

Front

What is a discrete function?

Back

A discrete function is a function that consists of distinct or separate values. Its graph is made up of individual points.

Front

What does it mean for a function to be constant on an interval?

Back

A function is constant on an interval if it takes the same value for every input within that interval.

Front

How can you determine if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning the change in y is consistent for equal changes in x.

Front

What is an increasing function?

Back

An increasing function is a function where, as the input (x) increases, the output (y) also increases.

Front

What is a decreasing function?

Back

A decreasing function is a function where, as the input (x) increases, the output (y) decreases.

Front

What is the difference between a linear and nonlinear function?

Back

Linear functions have a constant rate of change and graph as straight lines, while nonlinear functions do not have a constant rate of change and can graph as curves.

Front

What is an interval in mathematics?

Back

An interval is a range of values between two endpoints, which can be open (not including endpoints) or closed (including endpoints).

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first.

Front

What is a function's domain?

Back

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