What are some examples of range?

Question

Caleb Alexander · Accepted Answer

Some types of ranges:
shooting range, stove + oven, range of a weapon, (as verb) to move around, home on the range, etc.

No, but seriously, range is either the set of y-values of a function or the difference between the lowest and highest values of a set of numbers. For the equation #y=3x-2#, the range is all real numbers because some value of x can be inputted to yield any real number y (#y=RR#). For the equation #y=sqrt(x-3)#, the range is all real numbers greater or equal to 3 (#y=RR>=3#). For the equation #y=(x-1)/(x^2-1)#, the range is all real numbers not equal to 1 and -1 (#y=RR!=+-1#). For the set of numbers #{3, 5, 6, 9, 11}#, the range is #8# because #11-3=8#.

Elijah Allen · Answer

undefined Examples of ranges in different contexts include:

1. In mathematics:
   - The range of a function refers to the set of all possible output values (y-values) that the function can produce for its input values (x-values).

2. In statistics:
   - The range of a dataset is the difference between the maximum and minimum values in the dataset. It provides a measure of the spread or variability of the data.

3. In physics:
   - The range of a projectile refers to the horizontal distance traveled by the projectile before hitting the ground. It depends on factors such as initial velocity, angle of projection, and gravitational force.

4. In computer science:
   - The range of a data type refers to the set of all possible values that the data type can represent. For example, the range of an 8-bit unsigned integer is 0 to 255.

5. In geography:
   - The range of a species refers to the geographical area over which a particular species is found or distributed.

6. In economics:
   - The range of prices refers to the difference between the highest and lowest prices of a commodity or asset within a specified period.

These are just a few examples illustrating the concept of range across various disciplines and contexts.