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A critical number of a function $\"\"$ is a number $\"\"$ in the domain of $\"\"$ such that either $\"\"$ or $\"\"$ does not exist.

$\"\"$ is used to determine whether the function is increasing or decreasing.

Hence critical points are the points where the function changes its state from increasing to decreasing or vice versa.

Observe the graph.

The graph of the from changes its state at $\"\"$ and $\"\"$ .

Hence the critical numbers are $\"\"$ and $\"\"$ .

Solution:

The critical numbers are $\"\"$ and $\"\"$ .