For example in y=1/x, variable y and x are inversely proportional.
If y and x have a different relation than inversely proportional, but still y decreases as x increases and vice versa, how do you describe their relation? Thanks!
For example in y=1/x, variable y and x are inversely proportional.
If y and x have a different relation than inversely proportional, but still y decreases as x increases and vice versa, how do you describe their relation? Thanks!
Inversely proportional doesn't only describe the direct 1/x case, but the general case where y decreases when x increases. So even if you had a formula like:
y = 12 + 57/(2x + 5)
or
y = 1/x^2
You would still describe the relationship between y and x as inversely proportional.
"Monotonically decreasing" describes a situation where (as x goes up) y either stays the same or goes down. For "continuous functions", this is the same as saying that dy/dx <= 0.