A student was asked to find the domain and range of the relation below but made a mistake.
Relation:[(5,1),(-2,3),(1,6),(0,4)]
Student's answer:
Domain: -1,3,4,6
Range: -2,0,1,5
Find and explain the students error
The student's error lies in incorrectly identifying the elements of the domain and range.
The domain refers to the set of all possible input values in a relation, and in this case, the input values are the x-coordinates of the given ordered pairs. Looking at the given relation, the correct domain would be {5, -2, 1, 0}.
The range, on the other hand, represents the set of all possible output values in a relation, which are the y-coordinates of the given ordered pairs. From the given relation, the correct range would be {1, 3, 6, 4}.
Therefore, the student's error was mistakenly identifying the domain values as -1, 3, 4, 6 instead of the correct values of 5, -2, 1, 0. Additionally, the student incorrectly identified the range values as -2, 0, 1, 5 instead of the correct values of 1, 3, 6, 4.