Domain and Range and Functions

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

Does the table represent a function if an input has multiple outputs?

Back

No, if an input has multiple outputs, it does not represent a function.

Front

If the domain is {1, 7, 10}, what is the output of f(x) = x + 4?

Back

The outputs are {5, 11, 14}.

Front

What does it mean if a function's domain is x ≥ 0?

Back

It means that the function accepts all real numbers greater than or equal to 0 as input.

Front

What does it mean if a function's range is all real numbers?

Back

It means that the function can produce any real number as an output.

Front

How do you determine the domain from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.