Math Functions

Front

What are all of the x values or inputs in a function called?

Back

Domain

Front

What is the range of the relation (9, -2), (4, 3), (8, 10), (-4, 8)?

Back

{-2, 3, 8, 10}

Front

What are all of the y values or outputs in a function called?

Back

Range

Front

What is the definition of a function?

Back

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

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What does it mean if a table has two x values with different outputs?

Back

It is not a function because a function cannot have the same input mapping to multiple outputs.

Front

What is the difference between domain and range?

Back

Domain refers to all possible input values (x values), while range refers to all possible output values (y values).

Front

Can a function have a domain that includes negative numbers?

Back

Yes, a function can have a domain that includes negative numbers, depending on the context of the function.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each input x has a unique output.

Front

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

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 maps to two different outputs.