Function & Domain and Range

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

What is the domain of a function?

Back

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

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

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

Back

(1, 9) - This pair does not repeat any x-values.

Front

Is the graph of the points (3, 5), (4, 9), (2, 5) a function?

Back

Yes, it is a function because each x-value is unique.

Front

Is the graph of the points (3, 5), (3, 7), (4, 9) a function?

Back

No, it is not a function because the x-value 3 is repeated.

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 a non-function?

Back

A non-function is a relation where at least one input is related to multiple outputs.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

Domain: {-4, 0, 1, 2}, Range: {-4, -3, 1}.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.