Function or Not?

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you tell if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a relation?

Back

The domain is the set of all possible x-values in a relation.

Front

What is the range of a relation?

Back

The range is the set of all possible y-values in a relation.

Front

What does it mean for an x-value to repeat in a set of ordered pairs?

Back

If an x-value repeats with different y-values, the relation is not a function.

Front

What does it mean for a y-value to repeat in a set of ordered pairs?

Back

If a y-value repeats with the same x-value, the relation can still be a function.

Front

Can a function have negative numbers as inputs?

Back

Yes, a function can have negative numbers as inputs, as long as each input has one output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph.

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 has at least one input with multiple outputs.

Front

What is the vertical line test?

Back

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