Final answer:
Function runtimes table in mathematics refers to the time complexity of a function, which measures the efficiency of an algorithm. It helps determine how the execution time scales with the input size.
Step-by-step explanation:
Function Runtimes Table
In mathematics, the concept of function runtimes refers to the time complexity of a function, which is the measure of the efficiency of an algorithm. Time complexity is denoted using big O notation, such as O(n), O(n^2), etc. The runtime of a function can help determine how efficient it is and how it scales with the input size. For example, a function with a runtime of O(n) means that the execution time grows linearly with the input size.
Here is an example of a function runtimes table:
Input Size (n)O(1)O(log n)O(n)O(n^2)O(2^n)11011210131010010241001610010,000∞
This table shows different input sizes and their corresponding runtimes for various growth rates. The values in the table are just examples and can vary depending on the specific algorithm being analyzed.