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Which model represents a function?

Which model represents a function?-example-1
User Ejazz
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2 Answers

3 votes

Answer:

B

Explanation:

If you want to know how a model is a function, it has to pass the vertical-line test - there can't be more than one point where it intersects the model.

User Jgreep
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3 votes

Answer: B

Step-by-step explanation: F function is a relation in which each x-term corresponds to exactly one y-term.

The first image would not represent a function because each x-term does not have exactly one y-term. We can say this by using the vertical line test. The vertical line test says that if we can draw a vertical line that passes through more than one point, then the relation is not a function. Since we can draw a vertical line that passes through 2 points in the first image, this is not a function.

The second image would represent a function because each x-term has exactly one corresponding y-term. We would use the vertical line test to check.

The second image would not represent a function because each x-term does not have exactly one y-term. We can say this by using the vertical line test. The vertical line test says that if we can draw a vertical line that passes through more than one point, then the relation is not a function. Since we can draw a vertical line that passes through 2 points in the first image, this is not a function.

The mapping diagram in the last image would not represent a function because the x-term, -5 has two y-terms. Remember, a function cannot have more than 1 y-term if their different numbers.

User Jaffer Wilson
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