How do you find the domain and range and is it a function given points #{(4,-2), (4,2), (1,-1), (1,1), (0,0)}#?

1 Answer
Azimet
Jan 18, 2017

The domain is #{0,1,4}#
The range is #{-2,-1,0,1,2}#
This is not a function.

Explanation:

The domain is basically a set containing all possible unique inputs
or #x# values. The range is a set containing all possible unique outputs or #y# values. For this set to describe points on a function('s graph), multiple inputs are allowed to yield the same output, however, if even one input can yield multiple outputs, we know for sure that we are not dealing with a function. Here, #4# can either give back #-2# or #2#and #1# can either give #-1# or #1# on the output.

Related questions
See all questions in Introduction to Twelve Basic Functions
Impact of this question
2639 views around the world
You can reuse this answer
Creative Commons License