Function or not a function

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, then the graph is not a function.

Front

What does it mean if a table of values is a function?

Back

A table of values is a function if each input (x-value) corresponds to exactly one output (y-value). No x-value should repeat with a different 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. For example, f(2) = 3 and f(4) = 3 are both valid in 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

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

Back

No, this set is not a function because the input '1' corresponds to two different outputs (2 and 4).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.

Front

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

Back

A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

Can a function be represented by an equation?

Back

Yes, a function can be represented by an equation, such as y = 2x + 3, where for each x-value, there is a corresponding y-value.