Identify Functions and Relations

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 for a relation to be 'not a function'?

Back

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

Front

How can you tell if a mapping is a function?

Back

A mapping is a function if every input is paired with exactly one output.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an 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 does a function graph look like?

Back

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

Front

What is a table of values?

Back

A table of values lists pairs of input and output values, which can help determine if a relation is a function.

Front

What is the significance of the x-value in a function?

Back

The x-value (input) determines the corresponding y-value (output) in a function.