Identifying functions

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 the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

What does it mean for a mapping diagram to represent a function?

Back

A mapping diagram represents a function if each input value is connected to exactly one output value.

Front

Which of the following is a function? {(2,3), (3,4), (2,5)}

Back

Not a function, because the input '2' has two different outputs (3 and 5).

Front

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

Back

It is a function, because each input has a unique output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where 'x' is the input and 'y' is the output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can include functions but does not have to.

Front

How can you tell if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (input) with different second elements (outputs).

Front

What is the domain of a function?

Back

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