Features of Functions

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

How do you determine 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 based on its domain.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the function's output (f(x)) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the function's output (f(x)) decreases.

Front

What is a minimum point of a function?

Back

A minimum point is the lowest point on the graph of a function within a given interval.

Front

What is a maximum point of a function?

Back

A maximum point is the highest point on the graph of a function within a given interval.

Front

How do you find the value of a function at a specific point, f(a)?

Back

To find f(a), substitute 'a' into the function's equation and solve for the output.

Front

What is an interval notation?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included.

Front

What does the notation [a, b] represent?

Back

The notation [a, b] represents a closed interval that includes both endpoints a and b.

Front

What does the notation (a, b) represent?

Back

The notation (a, b) represents an open interval that does not include the endpoints a and b.