Precalculus : Greatest Integer Functions

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #5 : Special Functions

If  is the greatest integer function, what is the value of 

Possible Answers:

Correct answer:

Explanation:

The greatest integer function takes an input and produces the greatest integer less than the input. Thus, the output is always smaller than the input and is an integer itself. Since our input was , we are looking for an integer less than this, which must be  since any smaller integer would by definition not be "greatest". 

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