Functions or Not Functions Flashcard

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Which of the following is NOT a function? (3, 5), (4, 9), (2, 5), (3, 7)

Back

(3, 7) is not a function because the input 3 has two different outputs (5 and 7).

Front

What is an ordered pair?

Back

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

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 definition of a relation?

Back

A relation is a set of ordered pairs, which can include functions but is not limited to them.

Front

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

Back

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

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

If a graph passes the vertical line test, what can we conclude?

Back

If a graph passes the vertical line test, we can conclude that it is a function.