Finding the range of a function is a fundamental concept in mathematics, particularly in calculus. The range of a function represents the set of all possible output values that the function can produce for a given set of input values. Determining the range is crucial for understanding the behavior and properties of a function.
To find the range of a function, several methods can be employed. One common approach is to examine the function’s graph. The range can be visually identified as the set of y-coordinates corresponding to the highest and lowest points on the graph. Alternatively, algebraic methods can be used to determine the range. By analyzing the function’s equation or expression, it is possible to establish the minimum and maximum values that the function can attain, thus defining the range.
