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Which of the following best describes the graph shown below?

AThis is the graph of a linear function
BThis is the graph of a function, but it is not one-to-one.
CThis is not the graph of a function
DThis is the graph of a one-to-one function

Which of the following best describes the graph shown below? A) This is the graph of a linear function B) This is the graph of a function, but it is not one-to- class=

Verified Answer :

coreyscales

It does not pass the horizontal line test. The answer is B.

Answer: The answer is (B) This is the graph of a function, but it is not one-to-one.

Step-by-step explanation:  We are given a graph and four options out of which we are to select the statement that best describes the given graph.

Since the graph of a linear function is a straight line, so the first option is not correct.

The given graph is of a function because for a particular value of y, there is a fixed value of 'x'.

Also, since there are two different values of x having same value for y, so the function is not one-to-one. For example, If y = f(x) is the function, then f(1.5) = f(-1) = 3.

Therefore, the graph represents a function, but it is not one-to-one.

Thus, the correct option is (B).

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