Function or Not?

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.

Front

How can you determine if a relation is 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 an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is one corresponding y.

Front

What is an example of a non-function?

Back

y^2 = x is not a function because for some x values, there are two corresponding y values.

Front

What does the term 'domain' refer to in a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What does the term 'range' refer to in a function?

Back

The range is the set of all possible output values (y-values) for the 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 a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.