Alg 1 Flashcard: Function/Not A Function, Domain, Range

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 a relation?

Back

A relation is a set of ordered pairs, which can show how two quantities are related.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do 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

Given the relation {(1,2), (2,3), (1,4)}, is it a function?

Back

No, because the x-value 1 is associated with two different y-values (2 and 4).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve more than once, it is not a function.

Front

If the domain is {0, 1, 2}, what are the possible outputs?

Back

The outputs depend on the function's rule; they can vary based on the function.

Front

What does it mean if a function is not defined for a certain x-value?

Back

It means that there is no corresponding y-value for that x-value in the function.

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.