Functions and Relations

Front

What is a function?

Back

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

Front

What is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does the domain of a function represent?

Back

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

Front

What does the range of a function represent?

Back

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

Front

What is the vertical line test?

Back

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

Front

Given the function {(1,2), (2,3), (3,4)}, what is the domain?

Back

D: {1, 2, 3}.

Front

Given the function {(1,2), (2,3), (3,4)}, what is the range?

Back

R: {2, 3, 4}.

Front

Is the relation {(2,3), (2,4)} a function?

Back

No, because the x-value 2 has two different y-values (3 and 4).

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 1, where each x-value has a unique y-value.