Function or Not?

Front

What is a function?

Back

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

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where 'x' is the input and 'y' is the output.

Front

Can a function have repeating x-values?

Back

Yes, a function can have repeating x-values as long as each x-value corresponds to only one y-value.

Front

What is an example of a non-function?

Back

A relation where an x-value has two different y-values, such as (1, 2) and (1, 3), is not a function.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can include functions but is not limited to them.

Front

How can you tell if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no x-value is repeated with a different y-value.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.

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 the function.

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.