Oct 18 - domain and range

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that correspond to the input values (x-values) in the relation.

Front

Given the relation {(-5, 4), (-4, -1), (-2, 1), (0, 4), (1, 3)}, what is the range?

Back

R={-1, 1, 3, 4}

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all possible input values (x-values) that can be used in the relation.

Front

Given the relation {(-5, 4), (-4, -1), (-2, 1), (0, 4), (1, 3)}, what is the domain?

Back

D={-5, -4, -2, 0, 1}

Front

What is a function?

Back

A function is a relation where each input value (x-value) is paired with exactly one output value (y-value).

Front

Is the relation {(-5, 4), (-4, -1), (-2, 1), (0, 4), (1, 3)} a function?

Back

Yes, because each x-value has only one y-value paired with it.

Front

Is the relation {(-5, 4), (-4, -1), (11, 2), (11, 3)} a function?

Back

No, because the x-value 11 has two y-values paired with it.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What is the difference between domain and range?

Back

Domain refers to the set of all possible input values (x-values), while range refers to the set of all possible output values (y-values).

Front

If a function has a domain of {1, 2, 3} and outputs {4, 5, 6}, what is the range?

Back

The range is {4, 5, 6}.