Exploring Domain and Range Concepts

The video tutorial explains the concepts of domain and range in functions, using ordered pairs, mapping diagrams, and graphs. It provides examples to illustrate how to identify domain and range, emphasizing the importance of listing values from least to greatest and avoiding repetition. The tutorial also covers the definition of a function, highlighting that each input should have a unique output, and provides examples to distinguish between functions and non-functions.

What is the domain of a function?

• The set of all y-coordinates

• The set of all output values

• The set of all x-coordinates

• The set of all ordered pairs

Which of the following is true about the range of a function?

• It includes all x-coordinates

• It is a list of all input values

• It is a list of all ordered pairs

• It includes all y-coordinates

When listing domain values, how should they be ordered?

• In any order

• Alphabetically

• From greatest to least

• From least to greatest

If a number appears more than once in the domain, how many times should it be listed?

• Twice

• Once

• As many times as it appears

• It should not be listed at all

In a mapping diagram, what does the left side represent?

• Y-values

• Ordered pairs

• X-values

• Both X and Y values

How can you find the domain and range from a graph?

• By looking at the ordered pairs

• By using a function table

• By using a set brace

• By counting the points

What is the purpose of a set brace in finding domain and range?

• To find the function

• To exclude repeated values

• To list values alphabetically

• To group ordered pairs

What is a key characteristic of a function?

• Each output has multiple inputs

• Each output has exactly one input

• Each input has exactly one output

• Each input has multiple outputs

Which test can be used to determine if a graph represents a function?

• Diagonal line test

• Horizontal line test

• Parallel line test

• Vertical line test

In a mapping diagram, what indicates that a relation is not a function?

• An input value maps to multiple outputs

• An output value maps to multiple inputs

• All output values are different

• All input values are different