Flashcard Function or Not, Domain, Range, and Key Features

Front

What is a function in mathematical terms?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, confirming it is a function.

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 can you determine the domain of a function from its graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How can you determine the range of a function from its graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the corresponding y-values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the corresponding y-values decrease.

Front

What is a key feature of a function's graph?

Back

Key features of a function's graph include intercepts, intervals of increase and decrease, and asymptotes.