Mapping Diagrams---Functions

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

How can you tell if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input value goes to one and only one output value.

Front

What does it mean if an input has multiple outputs in a function?

Back

If an input has multiple outputs, it is not a function.

Front

What is the definition of a relation in mathematics?

Back

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

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 crosses the graph more than once, it is not a function.

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

The output is 11.

Front

What is the pattern in the sequence 70, 60, 50, 40?

Back

The pattern is to subtract 10.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has one output x squared.

Front

What is a non-function example?

Back

An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 has two different outputs.