Identify Functions/Domain and Range- Lipscomb

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Given the ordered pairs (2, 11), (9, -3), (7, 21), (-8, 6), what is the range?

Back

The range is {11, -3, 21, 6}.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {-4, 0, 1, 2}.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is {-4, -3, 1}.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 is related to two different outputs.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is related to exactly one input, meaning no two different inputs produce the same output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.