Question

What does a "find the critical numbers of the function" calculator determine?

A) Values that make the function equal to zero
B) Points where the function is undefined
C) Points where the derivative equals zero or is undefined
D) Maximum and minimum points of the function

Answer 1

A "find the critical numbers of the function" calculator determines the points where the derivative of the function equals zero or is undefined. These critical numbers help identify the maximum and minimum points.

Step-by-step explanation:

A "find the critical numbers of the function" calculator determines the points where the derivative of the function equals zero or is undefined. This is option C in the given question. The critical numbers are important in calculus because they help us identify the maximum and minimum points of a function. By finding these critical numbers, we can analyze the behavior of the function and determine where it reaches its highest and lowest values.