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Does the graph represent a function?

Does the graph represent a function?-example-1

2 Answers

7 votes
No it does not. Any function that has any of the same X vaules (The line going up left to right) is not a function.
User Coretechie
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4 votes

Answer:

The graph doesn't represent a function.

Explanation:

Consider the provided graph.

A graph is said to be a function if for each value of x we can get different y value or each input (x) has a single output (y).

Now, observe the graph.

The value x = -5 is related to more than one value of the y.

For x = -5 we have different y values.

For example (-5,0), (-5,1), (-5,2),(-5,3) all these values satisfy the graph. Thus the graph is not a function.

We can prove it by a vertical line test.

Vertical line test: If a vertical line intersects the graph more than once, then the graph is not a function.

Now if we draw a vertical line at x=-5 it will intersect the graph more than once, therefore, the provided graph is not a function.

Hence, the graph doesn't represent a function.

User Pavel
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6.6k points