How do you find the domain and the range of the relation, and state whether or not the relation is a function {(4, –6), (3, –6), (–2, 5), (4, 1)}?

Answer 1

Domain : #-{2, 3, 4}#

Range : #{-6, 1, 5}#

Not a function.

The domain is also known as the #x#-values and the range is the #y#-values.
Since we know that a coordinate is written in the form #(x, y)#, all the #x#-values are: #{4, 3, -2, 4}#
However, when we write a domain, we typically put the values from least to greatest and do not repeat numbers. Therefore, the domain is: #-{2, 3, 4}#
All the #y#-values are: #{-6, -6, 5, 1}#
Again, put them in least to greatest and do not repeat numbers: #{-6, 1, 5}#
In a function, each #x-#value can only pair with one #y#-value (each input has a single output). Since there are two "#4#"s in the #x#-values, there are two same #x#-values paired with two different #y#-values, so this relation is not a function.

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Answer 2

To find the domain of the relation, list all the x-values: {4, 3, -2}. To find the range, list all the y-values: {-6, 5, 1}. The relation is not a function because the x-value 4 is associated with two different y-values (-6 and 1).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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