IS IT A FUNCTION?

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 a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If a horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

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

Back

Yes, since each input has a unique output.

Front

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

Back

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

Front

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

Back

A one-to-one function is a function where each output is produced by exactly one input.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an 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 an ordered pair?

Back

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

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which may or may not be a function.