SOLUTION: Consider the greatest-integer function below, evaluate f(pi). f(x)=[x/2]

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Question 1199882: Consider the greatest-integer function below, evaluate f(pi).
f(x)=[x/2]
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

The greatest-integer function is also known as the floor function.

Draw a vertical number line.
Plot the two values 3.4 and 5.7
Feel free to pick other examples.

The 3.4 rounds down to 3
The 5.7 rounds down to 5

We go down to the nearest floor, aka integer.
You can think of it like an elevator in a skyscraper.

Further Reading:
https://www.mathwarehouse.com/algebra/greatest-integer-function-and-graph.php

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Now to the problem at hand

f(x) = [x/2]
f(pi) = [pi/2]
f(pi) = [1.5707963267949]
f(pi) = 1

Answer: 1

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
                        DEFINITION

    Greatest Integer Function [...] is a function that gives 
    the greatest integer less than or equal to a given number. 



                        SOLUTION


pi = 3.14...


pi/2 = 1.57...


The greatest integer number,  lesser than or equal to pi/2 = 1.57...,  is  1.


THEREFORE,  f(pi) = [pi/2] = [1.57...] = 1.      ANSWER

Solved.