# Critical points

- Author:
- mathtasksproj, Carlos

Recall that if a function is continuous and has a maximum or minimum at a point in its domain, then or does not exist. When these conditions are met, is called a critical point.
The graph below shows the function , the point A moves along the graph as you change the values of , can you identify the critical points of ? What is the max/min of on the intervals: ?

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