Question

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

Answer 1

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.