Inc/Dec, End Behaviors, Domain and Range

Front

What is a decreasing interval in a function?

Back

A decreasing interval is a range of x-values where the function's output (y-values) decreases as x increases.

Front

How do you determine if a graph represents a function?

Back

A graph represents a function if every vertical line intersects the graph at most once (Vertical Line Test).

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 relation to be a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (y-values) increases as x increases.

Front

What is the end behavior of a function?

Back

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

Front

How do you find the domain of a function given a graph?

Back

Identify all the x-values that the graph covers; these values make up the domain.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.