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Determine if the following relations are functions. If not, explain.

Determine if the following relations are functions. If not, explain.-example-1
User Nealkernohan
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1 Answer

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11 votes

Answer:

Graph 3 represents a function

Graph 4 is not a function

Explanation:

By definition :

A function is a rule or law which relates all the elements of one set with some UNIQUE element of another set.

Which means that from a given value of the input x, there will be only one value of y in a function f(x) = y

Graphically it would represent that for a given point x , there would only be one value of y corresponding to that x.

In graph 4, we can see that for one x, there exists two values of y.

Example : at x = 5, we have y=5 AND y= -5; which is not possible in case of a function.

User GarySabo
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