1. Range of a function:
This refers to the set of all possible output values (y-values) that a function can produce. Think of it as the entire set of answers you could get when plugging in any possible input value (x-value).
Example:
- The function f(x) = x² has a range of all non-negative numbers (0, 1, 4, 9, etc.) because squaring any real number will always result in a non-negative value.
2. Range of a set of numbers:
This refers to the difference between the highest and lowest values in a set of numbers.
Example:
- The range of the set {2, 5, 8, 10} is 8 (10 - 2 = 8).
It's important to consider the context to understand which meaning of "range" is being used.