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I need to determine if this graph shows a relation that is a function

I need to determine if this graph shows a relation that is a function-example-1
User Teamg
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1 Answer

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Explanation

We are required to determine if the given graph shows a relation that is a function using a vertical line test:

This is achieved thus:

We know that if a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function. If all vertical lines intersect a curve at most once then the curve represents a function.

Therefore, we have:

This graph shows multiple values of y for a value of x. '

Hence, it is not a function.

I need to determine if this graph shows a relation that is a function-example-1
I need to determine if this graph shows a relation that is a function-example-2
User Rager
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