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 discontinuous function?

Back

A discontinuous function is a function that has one or more breaks, jumps, or holes in its graph, meaning it cannot be drawn without lifting the pencil.

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

How do you find the x-intercept of a function?

Back

The x-intercept of a function is found by setting the output (y) to zero and solving for the input (x).

Front

How do you find the y-intercept of a function?

Back

The y-intercept of a function is found by setting the input (x) to zero and solving for the output (y).

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as the input values increase, the output values decrease.

Front

What is an interval in mathematics?

Back

An interval is a range of numbers between two endpoints, which can be open or closed depending on whether the endpoints are included.

Front

What is the notation for an open interval?

Back

An open interval is denoted using parentheses, e.g., (a, b), meaning that a and b are not included in the interval.