Identifying functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

Front

What is the vertical line test?

Back

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

Front

What is an input value in a function?

Back

An input value is the value that is fed into a function, often represented as 'x'.

Front

What is an output value in a function?

Back

An output value is the result of applying the function to an input value, often represented as 'f(x)'.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input is associated with exactly one output.

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 a mapping diagram?

Back

A mapping diagram visually represents the relationship between input and output values in a function.

Front

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

Back

No, because the input '1' is associated with two different outputs (2 and 3).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.