functions

Front

Is y a function of x?

Back

not a function

Front

What is the range of a function?

Back

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

Front

Which graph represents a function?

Back

A graph that passes the vertical line test.

Front

What is the domain of a function?

Back

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

Front

Is y a function of x?

Back

function

Front

Define a function in mathematical terms.

Back

A relation where each input has exactly one output.

Front

What does it mean for a relation to be not a function?

Back

If an input has more than one output, it is not a function.

Front

What is the vertical line test?

Back

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

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x has one corresponding y.

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 has two outputs.