# What are some examples of range?

Apr 4, 2018

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

#### Explanation:

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 $y = 3 x - 2$, the range is all real numbers because some value of x can be inputted to yield any real number y ($y = \mathbb{R}$).
For the equation $y = \sqrt{x - 3}$, the range is all real numbers greater or equal to 3 ($y = \mathbb{R} \ge 3$).
For the equation $y = \frac{x - 1}{{x}^{2} - 1}$, the range is all real numbers not equal to 1 and -1 ($y = \mathbb{R} \ne \pm 1$).

For the set of numbers $\left\{3 , 5 , 6 , 9 , 11\right\}$, the range is $8$ because $11 - 3 = 8$.