What is the definition of a function

The video tutorial explains the concept of relations and functions, highlighting the difference between them. It covers the domain and range, and provides examples to illustrate when a relation is a function. The tutorial also discusses ordered pairs and their role in determining functions, and concludes with a graphical representation to identify functions.

What is a function in terms of input and output?

• A relation where each input has exactly one output

• A relation where each input has multiple outputs

• A relation with no specific rules

• A relation where inputs and outputs are the same

In a function, what must each element in the domain do?

• Correspond to at least two elements in the range

• Correspond to multiple elements in the range

• Correspond to exactly one element in the range

• Not correspond to any element in the range

Which of the following is an example of a non-function?

• A maps to 1, B maps to 2, C maps to 3

• A maps to 1, B maps to 2, C maps to 1

• A maps to 1, B maps to 1, C maps to 3

• A maps to 1, B maps to 2, B maps to 3

What is the domain in the ordered pair set: (3, 4), (-1, 0), (7, 5)?

• -1, 0, 7

• 3, -1, 7

• 4, 0, 5

• 3, 4, 5

Why is the ordered pair set (3, 5), (3, -1), (0, 8) not a function?

• Because 3 maps to two different values

• Because 0 maps to 8

• Because all elements map to the same value

• Because it has negative numbers

How can you determine if a graph represents a function?

• By checking if the graph is a circle

• By checking if the graph is a straight line

• By checking if each x-coordinate corresponds to exactly one y-coordinate

• By checking if each y-coordinate corresponds to multiple x-coordinates

What does it mean if a graph has an x-coordinate that corresponds to two y-coordinates?

• The graph is a quadratic function

• The graph represents a function

• The graph does not represent a function

• The graph is a linear function