Identifying Functions

Front

What is a function?

Back

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

Front

How can you identify a function from a set of coordinates?

Back

A set of coordinates represents a function if no x-value is repeated with a different y-value.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one x-value is associated with more than one y-value.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a 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 an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value gives 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 it mean for a mapping to represent a function?

Back

A mapping represents a function if each element in the domain (input) is paired with exactly one element in the range (output).

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

The range of a function is the set of all possible output values (y-values) that result from the function.