Questions: Question 6 of 16 Which of the following sets represents the range of the diagram below? A. 1,2,3,4 B. 4 C. 1,2,4 D. (3)

Question 6 of 16

Which of the following sets represents the range of the diagram below?
A. 1,2,3,4
B. 4
C. 1,2,4
D. (3)
Transcript text: Question 6 of 16 Which of the following sets represents the range of the diagram below? A. $\{1,2,3,4\}$ B. $\{4\}$ C. $\{1,2,4\}$ D. $(3)$
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Solution

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Solution Steps

Step 1: Understand the Diagram

The diagram shows a function \( f(x) \) mapping elements from the first set (domain) to the second set (codomain). The elements in the domain are {1, 2, 3, 4}, and they all map to the element 3 in the codomain.

Step 2: Identify the Range

The range of a function consists of all the output values that the function can produce. In this diagram, all elements from the domain {1, 2, 3, 4} map to the single element 3 in the codomain.

Step 3: Determine the Correct Set

Since all elements in the domain map to the single element 3, the range of the function is {3}.

Final Answer

D. {3}

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