What method can be used to identify the range of a function?

To identify the range of a function, identifying horizontal and vertical asymptotes provides critical information about the possible output values of the function. Horizontal asymptotes indicate the end behavior of a function, which helps to determine what the output approaches as the input values become very large or very small.

Vertical asymptotes, on the other hand, indicate values of the input where the function does not exist, which helps to define limits of the output as well. By knowing these asymptotic behaviors, one can better understand the overall behavior of the function and can effectively outline the range of values that the output can take.

Using horizontal and vertical asymptotes, one can deduce regions where the function may not attain certain values or can approach but never reach specific outputs, thus clearly aiding in delineating the complete range of the function.