Points slope down as it moves to the right
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Inverse proportion
Yes, but the relationship need not be causal.
If it is inverse, they do the opposite. So as one increases, the other decreases, and vice versa.
There cannot be a "proportion of something": proportion is a relationship between two things, and how you solve it depends on whether they (or their transformations) are in direct proportion or inverse proportion.
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.