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look at this mapping diagram: domain 20 2 -19 18 range 8 4 17 -8 is thi…

Question

look at this mapping diagram:
domain
20
2
-19
18
range
8
4
17
-8
is this relation a function?
yes
no

Explanation:

Step1: Recall function definition

A function is a relation where each element in the domain is paired with exactly one element in the range.

Step2: Check domain elements

  • Domain element 20: Check its mappings. From the diagram, it maps to one range element? Wait, no—wait, looking at the diagram, let's list each domain element's mappings:
  • 20: Let's see the arrows. Wait, no, actually, let's check each domain value (20, 2, -19, 18) and see how many range values they map to.
  • 20: Wait, no, maybe I misread. Wait, the domain has 20, 2, -19, 18. Let's check each:
  • 20: How many arrows? Wait, no, the diagram: 20 has an arrow? Wait, no, the domain elements are 20, 2, -19, 18. Let's check each:
  • 2: How many arrows? Wait, no, wait the problem is to check if each domain element has exactly one range element. Wait, no—wait, maybe I made a mistake. Wait, let's re-express: In a function, every input (domain) has exactly one output (range). So we need to check if any domain element is mapped to more than one range element.
  • Let's check each domain element:
  • 20: Let's see the arrows. Wait, the diagram: 20's arrow—wait, maybe the user's diagram: 20, 2, -19, 18 in domain. Let's check each:
  • 2: How many arrows? Wait, no, maybe I misread. Wait, the key is: does any domain element have more than one arrow (i.e., map to more than one range element)?
  • Wait, looking at the diagram: Let's list each domain element and its range mappings:
  • 20: Let's see, does 20 have multiple arrows? Wait, maybe the diagram shows that 20 maps to one? No, wait, maybe I messed up. Wait, no—wait, the domain elements are 20, 2, -19, 18. Let's check each:
  • 2: How many arrows? Wait, no, maybe the problem is that one of the domain elements is mapped to more than one range element. Wait, no—wait, let's check again. Wait, the domain has four elements: 20, 2, -19, 18. Let's check each:
  • 20: Let's see, does 20 have more than one arrow? Wait, maybe the diagram shows that 20 maps to, say, two? No, wait, maybe I made a mistake. Wait, no—wait, the correct approach: A function requires that each element in the domain is associated with exactly one element in the range. So if any domain element has more than one range element, it's not a function.
  • Now, looking at the diagram: Let's check each domain element:
  • 2: How many arrows? Wait, no, maybe the diagram has 2 mapping to multiple? Wait, no, maybe I misread. Wait, the user's diagram: Let's assume that, for example, does 2 map to more than one? Wait, no, maybe the answer is no—wait, no, wait: Wait, the domain elements are 20, 2, -19, 18. Let's check each:
  • 20: Let's see, the arrows: maybe 20 maps to one? No, wait, maybe the diagram shows that one of the domain elements has multiple arrows. Wait, no, maybe I made a mistake. Wait, the correct answer: Wait, no—wait, the key is: in the mapping diagram, if any domain element has more than one arrow (i.e., is paired with more than one range element), then it's not a function. Let's check:
  • Let's take domain element 2: How many arrows? Wait, no, maybe the diagram shows that 2 is mapped to two range elements? Wait, no, maybe I'm overcomplicating. Wait, the answer is no, because (wait, no—wait, maybe I made a mistake). Wait, no, let's re-express: The definition of a function is that each input has exactly one output. So if any input (domain) has more than one output (range), it's not a function. So let's check each do…

Answer:

no