Key Features of Functions

Front

What is the domain of a function?

Back

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 set of all possible output values (y-values) that a function can produce.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of 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 value of f(x) decreases.

Front

What is the end behavior of a function?

Back

The behavior of the graph of a function as x approaches positive or negative infinity.

Front

What are roots of a function?

Back

The values of x for which f(x) = 0; points where the graph intersects the x-axis.

Front

What is an interval in the context of functions?

Back

A range of x-values over which a function is analyzed.

Front

What does the notation (-∞, a) represent?

Back

The interval of all real numbers less than 'a'.

Front

What does the notation [a, b] represent?

Back

The closed interval including all real numbers from 'a' to 'b', including 'a' and 'b'.

Front

What is a function's maximum value?

Back

The highest point on the graph of the function within a given interval.