In Questions fiNd the Best Big-O Function for the Function $$\log _ { 2 } n , n , n \log _ { 2 } n , n ^ { 2 } , n ^ { 3 } , \ldots , 2 ^ { n } , n !$$

question 18

Short Answer

In questions find the best big-O function for the function. Choose your answer from among the following:
1, $$\log _ { 2 } n , n , n \log _ { 2 } n , n ^ { 2 } , n ^ { 3 } , \ldots , 2 ^ { n } , n !$$
- $$f ( n ) = 1 + 4 + 7 + \cdots + ( 3 n + 1 )$$

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Definitions:

Criminal Behavior

Activities that violate laws and are punishable by the state or other authority.

Drug Abuse

The excessive, harmful, and often addictive use of drugs or substances, leading to physical and psychological harm.

Atypical Antipsychotics

Drugs that seem to be even more effective in treating schizophrenia than phenothiazines without the same neurological side effects; they bind to a different type of dopamine receptor than other neuroleptic drugs.

Conduct Disorder

Conduct Disorder is a mental health disorder diagnosed in childhood or adolescence characterized by a persistent pattern of disruptive and violent behaviors.