4A: Determine Functions

Front

What is a function?

Back

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

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 does it mean if a table is not a function?

Back

If a table is not a function, it means that at least one input value corresponds to multiple output values.

Front

How can you tell if a graph is a function?

Back

A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph more than once.

Front

What is a mapping in mathematics?

Back

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

Front

What does it mean for a set of values to represent a function?

Back

A set of values represents a function if each input value is paired with exactly one output value.

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 have only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

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 {(1, 2), (1, 3)}, where the input 1 has two different outputs.

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 the function.