Key Features Check-in

Front

What is the definition of 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.

Front

What is the definition of a function's range?

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 determine the increasing interval of a function?

Back

The increasing interval of a function is the set of x-values where the function's output values are rising as x increases.

Front

How do you determine the decreasing interval of a function?

Back

The decreasing interval of a function is the set of x-values where the function's output values are falling as x increases.

Front

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

Back

A function is defined on an interval if it has valid output values for every input value within that interval.

Front

What is the notation for representing an open interval?

Back

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

Front

What is the notation for representing a closed interval?

Back

A closed interval is represented using brackets, e.g., [a, b], which means that a and b are included in the interval.

Front

What is the significance of the endpoints in an interval?

Back

Endpoints determine the boundaries of the interval; whether they are included or excluded affects the interval's definition.

Front

How can you find the domain of a function graphically?

Back

To find the domain graphically, identify the x-values for which the function has corresponding y-values on the graph.

Front

How can you find the range of a function graphically?

Back

To find the range graphically, identify the y-values that the function reaches as x varies across its domain.