The video tutorial explains the concept of relationships between coordinate points, focusing on ordered pairs and their significance in defining domain and range. It introduces function relationships, emphasizing that each X value corresponds to a unique Y value. The tutorial provides examples to illustrate how functions work, ensuring that students understand the concept of unique output values for given inputs.

What does the X value in an ordered pair represent?

• The vertical position on the Y-axis

• The horizontal position on the X-axis

• The distance from the origin

• The angle of rotation

Which of the following best describes the domain of a function?

• All possible Y values

• All possible X values

• The output values

• The range of the function

What is a key characteristic of a function?

• Each Y value can have multiple X values

• Each X value can have multiple Y values

• Each X value is related to a unique Y value

• Each Y value is related to a unique X value

In a function, if you input the number 10, what can you expect?

• The output will be random

• The output will be consistent for the same input

• The output will always be 10

• The output will vary each time

If a function is defined as Y = X + 1, what is the output when X is 8?

• 7

• 8

• 10

• 9

Why is the relationship '3 maps to 2 and 3 maps to 1' not a function?

• Because 2 and 1 are not valid outputs

• Because it is not a linear relationship

• Because a function cannot have multiple outputs for the same input

• Because 3 is not a valid input

What happens when you input the same number into a function multiple times?

• You get different outputs each time

• You get the same output each time

• The output depends on the previous input

• The output is unpredictable