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4 votes
This is a function
x 1 8 14 14
y 13. -7. – 6. 0

1 Answer

4 votes

Final answer:

The given points do not form a function since the same 'x' value is paired with multiple 'y' values. Additionally, the properties of even and odd functions are referenced in relation to function symmetry.

Step-by-step explanation:

The question provided seems to be related to the concept of functions in mathematics, specifically whether a set of given points represents a function. A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

In this case, to determine if the given set of points represents a function, we need to look at the 'x' values. If each 'x' value is paired with only one 'y' value, it represents a function. However, the provided data shows the 'x' value of 14 paired with two different 'y' values (-6 and 0), which means that these particular points do not define a function.

Moreover, the properties of even and odd functions are referenced, which pertain to the symmetry of functions. An even function is symmetric about the y-axis, while an odd function (or anti-symmetric function) is symmetric about the origin. The provided formula y(x) = −y(-x) indicates the property of an odd function.

User Nachonachoman
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