Question

Find the domain and Range. Also, Compare and contrast these functionsThe first one

Answer 1

• Domain: ,{-4, -2, -1, 2, 5}

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• Range: ,{-8, 2, 5, 6}

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• Function?: ,yes

Step-by-step explanation

The domain is the set of all x-values. In this case, to write the domain, we just have to write the x-coordinates of the points, in order from least to greatest, without repeating values,

`D\colon\mleft\lbrace_{}-4,-2,-1,2,5\mright\rbrace`

The range is the set of all y-values. To write it, we have to write all the y-coordinates of the points, from least to greatest, without repeating values,

`R\colon\mleft\lbrace_{}-8,2,5,6\mright\rbrace`

Important note: The first value, -8, is the y-coordinate of the 4th point of the relation. The picture is blurry, so it could be a -6 instead of a -8.

To determine if a relation is a function, we have to see the domain and the number of points. A relation is a function if the x-values don't repeat. Remember that when we write the domain, the repeated values are written only once, so if the number of values in the domain is the same as the number of points, then the relation is a function. In this case, there are 5 points and we have 5 values in the domain. Hence, this relation is a function.