Function or Not

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean for a relation to be 'not a function'?

Back

A relation is 'not a function' if at least one input is related to more than one output.

Front

How can you determine if a table of values represents a function?

Back

Check if any input value (x-coordinate) is repeated with different output values (y-coordinates). If it is, then it is not a function.

Front

What is a mapping in mathematics?

Back

A mapping is a way to describe how each element of one set (domain) is paired with an element of another set (range).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

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.

Front

What is the domain of 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 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

Give an example of a function using a table of values.

Back

Input: 1, 2, 3; Output: 4, 5, 6. This is a function because each input has a unique output.

Front

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

Back

Input: 1, 1, 2; Output: 3, 4, 5. This is not a function because the input '1' has two different outputs (3 and 4).