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)
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. $(3)$
Solution
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}.