Question

Which of the following is not a function?

A. y = 54

B. X

C. {(3, -2), (7, -4), (3, 2), (10, -8)}

D. f(x) = x^2

Answer 1

Option B, which is not clearly defined as a function, and Option C, which has two different outputs for the same input, are not functions. Options A (a constant function) and D (a squared function) are both valid functions.

Step-by-step explanation:

The question asks which of the provided options is not a function. We know that a function, by definition, is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

• Option A (y = 54) is a constant function. This means for every x value, the output is 54, so it is a valid function.
• Option B (X) is not clearly defined as a function or a set of ordered pairs, so in the context of this list, it is not a function.
• Option C contains the pair (3, -2) and (3, 2). Since there are two different outputs for a single input (3), this does not meet the criteria for a function.
• Option D (f(x) = x^2) is a function because for every input x, there is only one output, which is the square of x.

Hence, the options that are not functions are B (because it's not a function or relation) and C (because it has two outputs for one input).