Question

Question 1 options:

Is the relation in this set of points a function?

{(-2, 6) , (4, 5) , (3, -3) , (6, 9), (4, -4)}

State whether the statement is true of false.

1. The relation is a function.

2. An element from the domain is paired with more than one element from the range.

Answer 1

This answer is correct!

Answer 2

Answers:

1. False
2. True

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Step-by-step explanation:

Focus on (4,5) and (4,-4)

The input x = 4 leads to simultaneous outputs y = 5 and y = -4 at the same time. This is not allowed in a function. For a function to be possible, each input x must lead to exactly one y output.

Therefore, this given relation is not a function.

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Domain = set of possible x inputs

Range = set of possible y outputs

The statement "An element from the domain is paired with more than one element from the range" basically means we have an x value paired with more than one y value. Therefore, this statement is true since I mentioned (4,5) and (4,-4) earlier.