Which set of ordered pairs in the form of x y does not represent a function of x? a. {(1, 1.5), (2, 1.5), (3, 1.5), (4, 1.5)} b. {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)} c. {(1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5)} d. {(1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)}

A function is a relationship that maps elements from one set (the inputs) into elements of another set (the outputs). Such that each input can be mapped into only one output.

The correct option is B: {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}

Using the general definition, to find which set of ordered pairs does not represent a function, we need to see in which set we have the same input (the first element of the ordered pair) assigned to two different outputs (the second element of the ordered pair).

Here the one that does not represent a function is option B:

{(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}

Because we have the input x = 1 assigned to two different outputs, y = 3.3 and y = 4.5

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