range
In mathematics, the term “range” refers to the set of all possible output values (or dependent variable values) in a function
In mathematics, the term “range” refers to the set of all possible output values (or dependent variable values) in a function. It represents the difference between the highest and lowest values in the set.
The range can be calculated by arranging the output values of a function in ascending or descending order and determining the difference between the highest and lowest values. In other words, if you have a function f(x) and you input various values of x, the range is the set of all resulting f(x) values.
For example, let’s consider the function f(x) = 2x + 1. If we input different values of x, we obtain the following output values:
f(1) = 3
f(2) = 5
f(3) = 7
In this case, the range of the function f(x) = 2x + 1 would be {3, 5, 7}, as these are all the possible output values.
However, it is important to note that not all functions have a complete or infinite range. Some functions might have a restricted range due to limitations or restrictions on the input or output values.
In summary, the range of a function represents the set of all possible output values and can be determined by identifying the highest and lowest values in the set.
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