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Inverse Proportional Function Calculator

Online inverse-proportion function calculator. Enter k and x to evaluate y=k/x, a hyperbola whose quadrants depend on k—great for function study.

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y = k/x (k≠0)
Nonzero constant
Nonzero input

📖 Tutorial | Inverse Proportion

1. Definition
An inverse proportion function has the form y=k/x (k≠0).
2. Formula & Notation
kNonzero constant
x, yInput and value
3. Properties & Laws
  • The graph is a hyperbola;
  • k>0 in quadrants I and III;
  • k<0 in II and IV;
  • It approaches but never meets the axes.
4. Steps
  1. Enter k and x;
  2. Click "Find y";
  3. Or click "Load Example".
5. Worked Examples
Example: k=12, x=3.
Solution: y = 4.
6. Common Pitfalls
Neither k nor x is 0;
Does not pass origin;
Two branches in two quadrants.

❓ FAQ | Inverse Proportion

Form?
y=k/x (k≠0).
k=12,x=3 y?
4.
Graph?
A hyperbola.
Sign of k?
I,III for positive; II,IV for negative.
Can x be 0?
No.
Meet the axes?
No, only approaches.