Function vs Non Function

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output value for each input 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 at more than one point, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input (x-value) corresponds to exactly one output (y-value).

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 non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Front

How can you identify a function from a set of ordered pairs?

Back

To identify a function from a set of ordered pairs, check that no x-value is repeated with a different y-value.

Front

What is the significance of the first element in an ordered pair?

Back

The first element in an ordered pair represents the input value (x-coordinate) in a function.

Front

What is the significance of the second element in an ordered pair?

Back

The second element in an ordered pair represents the output value (y-coordinate) in a function.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between input and output values, plotted on a coordinate plane.