Precal Functions

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

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 determine the increasing intervals of a function?

Back

Increasing intervals are found by identifying where the function's output values increase as the input values increase.

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 point.

Front

What is the notation for an interval that includes its endpoints?

Back

The notation for an interval that includes its endpoints is called a closed interval, denoted with square brackets, e.g., [a, b].

Front

What is the notation for an interval that does not include its endpoints?

Back

The notation for an interval that does not include its endpoints is called an open interval, denoted with parentheses, e.g., (a, b).

Front

How can you find the domain of a function from its graph?

Back

The domain can be found by identifying all the x-values for which the graph exists.

Front

What is the difference between the range and the correct range of a function?

Back

The range refers to all possible output values, while the correct range is the actual set of output values that the function achieves.

Front

What is the significance of the endpoints in interval notation?

Back

Endpoints indicate whether the values at those points are included (closed interval) or excluded (open interval) in the interval.