four relations are shown below. click on the tabs to see them.\nrelation 1 relation 2 relation 3 relation…

four relations are shown below. click on the tabs to see them.\nrelation 1 relation 2 relation 3 relation 4\ndomain range\ntree 6\nmoon -5\nmoon -9\nstar 0\nstar -2\ncheck the box corresponding to each relation that represents a function.\n□ relation 1 □ relation 2 □ relation 3 □ relation 4 □ none of the rel

four relations are shown below. click on the tabs to see them.\nrelation 1 relation 2 relation 3 relation 4\ndomain range\ntree 6\nmoon -5\nmoon -9\nstar 0\nstar -2\ncheck the box corresponding to each relation that represents a function.\n□ relation 1 □ relation 2 □ relation 3 □ relation 4 □ none of the rel

Answer

Explanation:

Step1: Recall the definition of a function

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

Step2: Analyze Relation 1

  • Domain elements: "tree", "moon", "star"
  • "tree" is paired with 6 (one value).
  • "moon" is paired with -5 and -9 (two values).
  • "star" is paired with 0 and -2 (two values). Since "moon" and "star" in the domain are paired with more than one range value, Relation 1 is not a function.

(Note: Since we only have Relation 1 shown, but assuming the question is about identifying functions, and if other relations (2,3,4) are not shown, but from Relation 1, it's not a function. However, the problem says "Check the box...", but since we only see Relation 1, and if we assume we need to check based on Relation 1:

But wait, the user's image shows Relation 1, but the checkboxes include Relation 1,2,3,4, None. Since we can only analyze Relation 1 here (as others are not shown), but let's proceed.

Wait, maybe the original problem (if all relations were shown, but in the given image, only Relation 1 is visible. But perhaps in the original context, but since we have to work with what's given. Wait, the user's image: Relation 1 has domain "tree", "moon", "star". "tree" →6, "moon"→-5 and -9, "star"→0 and -2. So Relation 1 is not a function. But since we don't have info on 2,3,4, but the checkbox "None of the rel..." (maybe "None of the relations"). But perhaps the intended answer is "None of the relations" if all are not functions, but since we only see Relation 1, which is not a function. But maybe the user expects analysis of Relation 1.

But the question is to check the box for each relation that is a function. Since Relation 1 is not a function (as "moon" and "star" have multiple outputs), so we don't check Relation 1. If other relations are not shown, but maybe in the original problem, all relations have domain elements with multiple outputs, so "None of the relations" is checked.

Answer:

None of the relations (assuming all relations, including 1,2,3,4, do not satisfy the function definition. For Relation 1, as analyzed, it's not a function. If others are similar, then "None of the relations" is the answer. So the checkbox to check is: None of the rel (assuming the option is "None of the relations").