To determine if the mapping diagram represents a function, we need to see if each element in Set A maps to exactly one element in Set B.

Analysis:

In a function, each input in the domain (Set A) should map to only one unique output in the codomain (Set B). Here is what we observe from the diagram:

• 3 maps to 4
• 1 maps to 4
• 0 maps to 7

Since each element in Set A is associated with only one element in Set B, this mapping does represent a function.

Suggested Answers for the Blanks:

1. The mapping diagram above represents a function since
2. each element in Set A maps to exactly one element in Set B where there
3. are no elements in Set A with more than one mapping.

Would you like more details or further explanation?

Here are some additional questions related to this topic:

1. What conditions must be met for a mapping to be considered a function?
2. Can a function have elements in Set B with no corresponding elements in Set A?
3. If an element in Set A had multiple mappings to different elements in Set B, would it still be a function?
4. What is the difference between a one-to-one function and a general function?
5. How would you represent this mapping with function notation?

Tip: In a function, each input must map to only one output, but multiple inputs can map to the same output.