Function or Not a Function (No Graphs)

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 definition of 'not a function'?

Back

A relation is not a function if at least one input (x-value) has more than one output (y-value).

Front

Example of a function: (1, 2), (2, 3), (3, 4) - Is this a function?

Back

Yes, this is a function because each input has one output.

Front

Example of not a function: (1, 2), (1, 3), (2, 4) - Is this a function?

Back

No, this is not a function because the input '1' has two 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.

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 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 at more than one point, it is not a function.

Front

If a set of ordered pairs is {(2, 3), (2, 4)}, is it a function?

Back

No, it is not a function because the input '2' has two different outputs (3 and 4).

Front

What does it mean for a relation to be one-to-one?

Back

A one-to-one relation is a function where each output is paired with exactly one input.

Front

Is the relation {(1, 2), (3, 4), (5, 6)} a function?

Back

Yes, it is a function because each input has one unique output.