Does the graph below represent a function and is it onetoone

Does the graph below represent a function and is it one-to-one? It is a function and it is one-to-one. It is a function but not one-to-one. It is not a function but it is one-to-one. It is not a function and it is not one-to-one.

Solution

The graph represents a function , but it is not one-to one, as except for y = f(x) = -1, , every other y- value has 2 corresponding values of x . Thus y = f(x) is not one-to one. The answer B is correct.

Note:

Such a graph usually represents a modulus function.

 Does the graph below represent a function and is it one-to-one? It is a function and it is one-to-one. It is a function but not one-to-one. It is not a functio

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