four relations are shown below. click on the tabs to see them.\nrelation 1\ndomain\nrange\na\n6\nw\n5\nk\n7\n…

four relations are shown below. click on the tabs to see them.\nrelation 1\ndomain\nrange\na\n6\nw\n5\nk\n7\nc\n-6\ncheck the box corresponding to each relation that represents a function.\n☐ relation 1 ☐ relation 2 ☐ relation 3 ☐ relation 4 ☐ none of the relations

four relations are shown below. click on the tabs to see them.\nrelation 1\ndomain\nrange\na\n6\nw\n5\nk\n7\nc\n-6\ncheck the box corresponding to each relation that represents a function.\n☐ relation 1 ☐ relation 2 ☐ relation 3 ☐ relation 4 ☐ none of the relations

Answer

Explanation:

Step1: Define the criteria for a function

A relation is considered a function if every element in the domain is paired with exactly one element in the range.

Step2: Analyze the mappings in Relation 1

From the provided diagram for Relation 1:

  • The element $a$ maps to $5$.
  • The element $w$ maps to $7$.
  • The element $k$ maps to $6$.
  • The element $c$ maps to $-6$.

Step3: Determine if the relation is a function

Since each element in the domain ${a, w, k, c}$ is associated with exactly one unique value in the range, Relation 1 satisfies the definition of a function.

Answer:

Relation 1