Delightful Division 3: Reciprocals of Half-Integers

y = 1/x or x^-1

This function gives you a number's reciprocal. If x is equal to a half-integer...

{You understand how I used the variable W in the bottom row, do you?}

All the fractions in the y column have a common numerator: 2, but have you noticed that the denominators are consecutive odd numbers? Interesting, isn't it?

Note: x/1 = x since 1 is the number of multiplicative identity. Whenever the number 1 is a denominator of a fraction, the fraction technically turns into an integer! (Algebra, calculus & wacky irrational numbers as numerators are not considered)

By the way, this same math trick happens on the negative side of the number line, if you get what I mean! It'll also work with imaginary numbers, but only real numbers are allowed in function tables.

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© Derek Cumberbatch