Intro to Functions (Algebra 1)

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 repeated with different y-values.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Given the function {(1,2), (2,3), (3,4)}, what is the domain?

Back

D: {1, 2, 3}.

Front

Given the function {(1,2), (2,3), (3,4)}, what is the range?

Back

R: {2, 3, 4}.

Front

What does it mean if a function is represented as a mapping?

Back

A mapping shows how each element of the domain is paired with an element in the range.

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, because the x-value '1' is paired with two different y-values (2 and 3).

Front

What is an example of a function in real life?

Back

A vending machine is a function; each button (input) gives one specific item (output).

Front

What is a vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.