Write Domain and Range in Interval Notation Calculator
Introduction & Importance
Interval notation is a way to represent sets of real numbers using intervals. Writing domain and range in interval notation is crucial in mathematics, particularly in calculus, to describe the inputs and outputs of functions.
How to Use This Calculator
- Enter the start and end values of the interval.
- Select the type of interval: closed, open, or half-open.
- Click ‘Calculate’.
Formula & Methodology
The formula for writing an interval in interval notation depends on the type of interval:
- Closed: [a, b]
- Open: (a, b)
- Half-Open: (a, b] or [a, b)
Real-World Examples
Example 1: Temperature Range
The temperature range from -10°C to 30°C can be represented as the closed interval [-10, 30].
Example 2: Speed Limit
The speed limit on a highway is from 60 km/h to 100 km/h, which can be represented as the half-open interval [60, 100).
Example 3: Test Scores
A test score range from 50 to 100 can be represented as the open interval (50, 100).
Data & Statistics
| Interval Type | Notation |
|---|---|
| Closed | [a, b] |
| Open | (a, b) |
| Half-Open | (a, b] or [a, b) |
Expert Tips
- Always double-check your interval type to avoid including or excluding certain values.
- Use this calculator to verify your interval notation.
Interactive FAQ
What is the difference between a closed and open interval?
A closed interval includes both endpoints, while an open interval does not.
Can an interval be infinite?
Yes, intervals can be infinite. For example, the interval (0, ∞) represents all positive real numbers.
For more information, see the Math is Fun guide to interval notation.