End behavior/Increasing & decreasing intervals

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

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

How do you identify increasing and decreasing intervals on a graph?

Back

Increasing intervals are where the graph rises from left to right, while decreasing intervals are where the graph falls from left to right.

Front

What is end behavior in the context of functions?

Back

End behavior describes how the values of a function behave as x approaches positive or negative infinity.

Front

What does it mean if a function's end behavior is x→∞, y→∞?

Back

It means that as x increases without bound, the function's output (y) also increases without bound.

Front

What does it mean if a function's end behavior is x→-∞, y→∞?

Back

It means that as x decreases without bound, the function's output (y) increases without bound.

Front

What is the notation for an interval that is open on both ends?

Back

The notation for an open interval is (a, b), meaning it does not include the endpoints a and b.

Front

What is the notation for an interval that is closed on both ends?

Back

The notation for a closed interval is [a, b], meaning it includes the endpoints a and b.