+72 https://prnt.sc/BXzDgql7NOR3
I think it should start with a closed dot because of the brackets,
but im not sure if it's the first left or the second left?
+118673
\(\lfloor x \rfloor \) this is the floor of x.
It means that if x is written as a decimal you should just truncate it leaving just the integer number.
so
\(\lfloor 2 \rfloor =2\\ \lfloor 2.3 \rfloor =2\\ \lfloor 2.9 \rfloor =2\\ \lfloor 2.9999999 \rfloor =2\\ but\\ \lfloor 3 \rfloor =3\\~\\ \text{So if you were going to graph } f(x)=\lfloor x \rfloor \text{over the interval [2,3]}\\ \text{ what will your graph look like. }\)
Plese describe it for me. Where are the open circles, the closed circles etc
+118673 Also remember that an easy thing to do is to test a point/s
\(f(x)=\lfloor x \rfloor -2\)
If x=0 what is f(0) equal to?
+72 Ok i tested points 1, 1.5 and 3
and got (1,-1) (1.5, -0.5) and (3,1)
And it seems like its the top-left graph
+118673 You got the right answer but what you have written is not altogether correct.
You have to treat the floor funtion like you would brackets.
So you work out what is inside and THEN take the flor of it befrome moving on to the rest of the expression.
I also desctribed what the floor funtion does rather badly.
The floor funtion simply ROUNDS A NUMBER DOWN to the nearest INTEGER.
(Thanks for the guidence EP)
I know you already worked out much of this but I wanted to reiterate the whole lot. ;)
\(f(1)=\lfloor 1 \rfloor -2 = 1-2=-1\\ f(1.5)=\lfloor 1.5 \rfloor -2 = 1-2 = -1\\ f(3)=\lfloor 3 \rfloor -2 =3-2=1\)
giving (1, -1) (1.5, -1) and (3, 1)
