SOLUTION: On many graphing calculators [x] is denoted by int(x). Use a graphing calculator to graph the function. g(x) = - [x]

Algebra ->  Graphs -> SOLUTION: On many graphing calculators [x] is denoted by int(x). Use a graphing calculator to graph the function. g(x) = - [x]       Log On


   



Question 155607: On many graphing calculators [x] is denoted by int(x). Use a graphing calculator to graph the function.

g(x) = - [x]

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The notation [x] simply tells us that if "x" an decimal number like 2.5, then simply [x] will be the largest integer (whole number) that is less than "x"


So if x=2.5, then -[2.5]=-(2)=-2


If x=3.5, then -[3.5]=-(3)=-3


and if x=4.5, then -[4.5]=-(4)=-4


This works with negative numbers as well. If x=-2.5, then -[-2.5]=-(-3)=3



So the graph of y=-[x] is simply a collection of horizontal lines like this:



Photobucket - Video and Image Hosting Graph of y = -[x]



Notice how if x=2.5, then f%28x%29=-2, if x=3.5, then f%28x%29=-3, etc.