Final answer:
The additive inverse of a number is what you add to the original number to get zero. For x = -4, the additive inverse is 4, and for y = -7, it is 7. These opposites relate to vector subtraction and even or odd functions in mathematics.
Step-by-step explanation:
The additive inverse of a number is the number that, when added to the original number, will result in zero. For example, the additive inverse of x = -4 is x = 4, because -4 + 4 = 0. Similarly, the additive inverse of y = -7 is y = 7, since -7 + 7 = 0. These examples illustrate the concept of vector subtraction using perpendicular components, which is similar to the subtraction of scalars, such as when 5 - 2 is the same as 5 + (-2).
Furthermore, in the context of functions, an even function is symmetric about the y-axis, while an odd function (also known as an anti-symmetric function) is produced by a reflection about the y-axis and then about the x-axis.