Function/Not 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 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

Identify the x-value in the ordered pair (3,8).

Back

The x-value is 3.

Front

Identify the y-value in the ordered pair (3,8).

Back

The y-value is 8.

Front

Is the set {(-2,3), (-4,8), (3,1), (-2,9)} a function?

Back

No, it is not a function because the input -2 has two different outputs (3 and 9).

Front

Which ordered pair could replace the missing values and remain a function? (Choose one: (-3,-2), (2,8), (5,-3), (0,-8))

Back

(5,-3) could replace the missing values and remain a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x,y) where 'x' is the first element and 'y' is the second element.

Front

Can a function have the same x-value with different y-values?

Back

No, a function cannot have the same x-value with different y-values.

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

Give an example of a function using ordered pairs.

Back

Example: {(1,2), (2,3), (3,4)} is a function because each x-value has one unique y-value.