Functional Dependency Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Functional Dependency.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
When the value of one variable is determined by the value(s) of other variables.
Temperature determines ice cream sales—sales DEPEND ON temperature.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Functional dependency means one variable's value is uniquely determined and controlled by the value of another.
Common stuck point: Dependency isn't always obvious—multiple variables can interact.
Sense of Study hint: Try changing the independent variable and see if the dependent variable is uniquely determined each time.
Worked Examples
Example 1
easySolution
- 1 Step 1: For any x, there is exactly one y = 3x + 1.
- 2 Step 2: x = 0 \to y = 1, x = 1 \to y = 4. Each input gives one output.
- 3 Step 3: Yes, y is a function of x.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
mediumRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.