Consider the set S={1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,23,24, .............. ,123456789}, which consists of all positive
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- The domain of this relationship can be defined as,
0 ≤ x ≤ 60
- The range of this relationship can be defined as,
0 ≤ y ≤ 40
Definition of Domain and Range
The set of all the possible input values for which the provided function is defined is termed as the domain of that function.
The set of all the possible values that a given function can generate as an output is termed as the range of that function.
Forming the Relation
It is given that,
- Jackson wants to purchase 2 shirts and 3 pairs of pants with his gift card
- x represents the cost of the shirts and y represents the cost of the pants
- The limit of the gift card = $120
Thus, the relation formed is given by,
Domain and Range of the Given Relation
We have,
⇒
⇒
Thus, the domain is given by,
⇒
Similarly,
⇒
Thus, the range is given by,
⇒
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