Domain and Range

Front

What is the definition of 'Domain' in a set of ordered pairs?

Back

The domain is the set of all first elements (x-values) in a set of ordered pairs.

Front

What is the definition of 'Range' in a set of ordered pairs?

Back

The range is the set of all second elements (y-values) in a set of ordered pairs.

Front

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

Back

{2, 9, 7, -8}

Front

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

Back

{11, -3, 21, 6}

Front

What is the relationship between domain and range in a function?

Back

The domain consists of the input values, while the range consists of the output values corresponding to those inputs.

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input; each input must correspond to exactly one output.

Front

What is an example of a function?

Back

f(x) = x^2 is a function because for each x-value, there is one corresponding y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 corresponds to two different outputs.

Front

How do you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.