L15 Flashcard Review

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 determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is a unique corresponding value of y.

Front

What is the vertical line test?

Back

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 is an example of a function?

Back

The equation y = 2x + 3 is a function because each x-value has one corresponding y-value.

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 x-value 1 is paired with two different y-values.

Front

What is a one-to-one function?

Back

A function where each x-value is paired with a unique y-value and each y-value is paired with a unique x-value.

Front

What is a many-to-one function?

Back

A function where multiple x-values can map to the same y-value.

Front

What is a domain in a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is a range in a function?

Back

The set of all possible output values (y-values) for the function.