Is it a Function?

Front

What is a function in mathematics?

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 is the vertical line test?

Back

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

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.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must map to only one output.

Front

What is an example of a function?

Back

An example of a function is the set of ordered pairs {(1, 2), (2, 3), (3, 4)}.

Front

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

Back

An example of a relation that is not a function is the set of ordered pairs {(1, 2), (1, 3)} because the input '1' maps to two different outputs.

Front

What is a mapping in the context of functions?

Back

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

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, indicating that it is a function.

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 which the function is defined.

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.