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4. (03.01)
Is the following relation a function? (1 point)
Yes
No

4. (03.01) Is the following relation a function? (1 point) Yes No-example-1
User Gobliins
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2 Answers

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26 votes


{ \qquad\qquad\huge\underline{{\sf Answer}}}

No, The given relation isn't a function.

[ For a relation to be a function, every value that lies in the domain ( set A ) should have only one corresponding value in its Range ( set B ) but here, -1 has two corresponding values that are : (-1) and (2) ]

Therefore, conclusion can be made that the given relation isn't a function.

User Pavel L
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6 votes
6 votes

Answer:

Not a function.

Explanation:

Functions

A function is a special type of relation where each input (x-value) has a single output (y-value).

  • One-to-one: Each value in the range (y-values) corresponds to exactly one value in the domain (x-values).
  • Many-to-one: Some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).

The given function is not a function as the input value of x = -1 has multiple output values of y = 2 and y = -1.

User Nikunj Chaklasiya
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