Function or not a function

Front

What is a function in mathematical terms?

Back

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

Front

What does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two different ordered pairs have the same first element (x value).

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

Check if any x value is repeated; if it is, the relation is not a function.

Front

What is an example of a function using ordered pairs?

Back

(1, 2), (2, 3), (3, 4) is a function because each x value is unique.

Front

What is an example of a relation that is not a function?

Back

(1, 2), (1, 3) is not a function because the x value 1 is associated with two different y values.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine 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 the significance of the ordered pair (-2, 0) in determining functions?

Back

If (-2, 0) is repeated in a set of ordered pairs, it can indicate that the relation is not a function.

Front

What is the definition of a domain in a function?

Back

The domain of a function is the set of all possible input values (x values) that the function can accept.

Front

What is the definition of a range in a function?

Back

The range of a function is the set of all possible output values (y values) that the function can produce.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.