Concept explainers
To find:
If the given relation
Answer to Problem 40PPE
Yes, given relation is a function because for two different input values, there is always a different unique output value. And given one is a linear function actually as its degree is one.
Explanation of Solution
Given information:
Given a relation,
Concept used:
A relation is a function,
- If for each value in its domain; there is always a unique value in its co domain.
- If for each different first value of its ordered pair, there is always a second unique value, then such relation is a function always.
- Or, no two same first values, should have two different second values in ordered pairs of set of relation.
Calculation:
In tabular form, given relation can be written in its ordered pair form as:
x | ||
0 | ||
2 | ||
3 | ||
4 |
Or, given relation as a set of ordered pairs can be represented as:
So, for each different input value of x, there is always a unique output value of variable y. That satisfies the definition of a function.
Conclusion:
So, in above relation, for each different first value, there is always a unique second value in its given ordered pairs. So, it is surely a function, based on definition of the function.
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