Relation- Function- Domain- Range

Front

What is a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function using a graph?

Back

A relation is a function if any vertical line drawn on the graph intersects the graph at most once.

Front

What is the difference between a relation and a function?

Back

A relation is a set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.

Front

What does it mean if a relation has the domain {3, 7}?

Back

It means that the only input values for the relation are 3 and 7.

Front

What does it mean if a relation has the range {0, 5}?

Back

It means that the only output values for the relation are 0 and 5.

Front

Which of the following is a function: {(1,2), (2,3), (1,4)}?

Back

No, because the input 1 is associated with two different outputs (2 and 4).

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 vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if a vertical line crosses the graph more than once.