1. Determine the domain and range of the given ordered pair and identify either the
relation is a function or not. (15 pts each)
Ordered pair: {(-1 – 1),(-3,2), (10,11),(11,11),(10,12)}
Domain:
Range:
Function or not a function:
Answers
Answer:
The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent
Answer: (NOT A FUNCTION)
Step-by-step explanation:
Concept: Any set of ordered pairs is called a relation and is represented in the form of (INPUT, OUTPUT).
A function is a relation in which there should be only one output for each input (or) a special kind of relation (a set of ordered pairs), which follows a rule where every X-value should be associated with only one y-value.
A function consists of domain and range. The domain of a function is a group of the first values in the ordered pair (Set of all input (x) values), and the range of a function is a group of the second values in the ordered pair (Set of all output (y) values).
Here, the set of ordered pairs are {(-1, -1), (-3, 2), (10,11), (11,11), (10, 12)}.
Step 1: The domain of the set consists of: (-1, -3, 10, 11) and the range of the set consists of : (-1, 2, 11, 12).
Step 2: Now observe from the above definition as stated earlier in the concept part, a relation can be a function only when each and every element of the domain will have only one image or output in the range.
Here we observe that 10 in the domain is having 2 outputs which are 11 and 12. So it doesn't follow the criterion for being a function.
Final answer: The given set of ordered pairs does not form a function.
(NOT A FUNCTION.)
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