Is It A Function

Front

What is a function?

Back

A function is a special relationship between values where each input has exactly one output.

Front

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

Back

In a set of ordered pairs, if no two pairs have the same first element with different second elements, it is a function.

Front

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

Back

Yes, it is a function because each input (first number) has one output (second number).

Front

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

Back

No, it is not a function because the input '1' has two different outputs (2 and 3).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers written in a specific order, usually 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.

Front

What is a mapping in relation to functions?

Back

A mapping shows how each input is paired with an output, similar to a function.

Front

Is the mapping {1 -> 2, 2 -> 3, 3 -> 2} a function?

Back

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

Front

Is the mapping {1 -> 2, 1 -> 3} a function?

Back

No, it is not a function because the input '1' has two different outputs.

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 crosses the graph more than once, it is not a function.