Understanding Range in Math: Definition, Calculation, and Examples

range

The range refers to the set of all possible output values of a function or the variation between the minimum and maximum values in a dataset

The range refers to the set of all possible output values of a function or the variation between the minimum and maximum values in a dataset.

In the context of a function, the range can be determined by finding all the possible output values. To do this, you can evaluate the function for different input values and observe the corresponding output values. The range will be the set of all these output values.

For example, let’s consider the function f(x) = 2x + 1. To find the range of this function, we can choose different input values for x and observe the corresponding outputs:

f(0) = 2(0) + 1 = 1
f(1) = 2(1) + 1 = 3
f(2) = 2(2) + 1 = 5

Based on these evaluations, we can see that the output values are 1, 3, and 5. Therefore, the range of the function f(x) = 2x + 1 is {1, 3, 5}.

In the context of a dataset, the range can be determined by finding the difference between the maximum and minimum values. Consider the following dataset: 3, 7, 10, 2, 5. To find the range, we need to find the maximum and minimum values:

Maximum value: 10
Minimum value: 2

The range of this dataset is determined by subtracting the minimum value from the maximum value: 10 – 2 = 8. Therefore, the range of the dataset {3, 7, 10, 2, 5} is 8.

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