Melody

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?

See if you can make sense of this

\(\lfloor x \rfloor \)     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

You are very welcome.  And welcome to Web2.0 calc  forum    

I am always very pleased when askers interact with me.  (And when they say thank you)

This would be true for all answerers here.

It leaves a very good impression and means that people are much quicker to give you quality help.

The other things that are appreciated is giving answerers point recognition by pressing the hearts icon. 

     I am saying this more for other answerers than for me.  

For me, I'd like you to discuss your question a little when you first post.

That way answerers know that you have already made some effort and it may also help them hone in on which bit you are having trouble with.  So you are more likely to get an appropriate answer straight away.

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Yes, that is the only one it could be.

With these multiple choice questions it is often easier to get the answer by elimination rather than by necessarily knowing which one is correct.   

If 3 are wrong then the last one must be correct.    ;)

Yes good it is definitely one of the top ones.

The right side is the same for both so you only need to consider the left side.

g(x)=x

that is like  y=x

So you can look at any points.

If x is 0 then y would have to be 0  So (0,0) would have to be on the graph.

So which is the correct graph?

Please present some of your own input.  

example:

Which ones can you rule out.

Do you think you know the answer etc

Other answerers:

Please allow loona to interact with me.  Please do not answer over me.

Huh, you talking about the first one or the second one ?

Ill walk you through the first one

Sorry about the unblock sign I took a picture.

The x values are getting begger by 1

The y values are getting bigger by 2

So there will be 2x as a part of the answer.

I'll added another row inbetween to show you what I have so far

No to get from the 2x row to the y row I will have to subtract 1

y = 2x-1

Note

If you graph it, it will a line with gradient of 2 and y intercept of -1 .  

Every point on that line will make this equation true.   

I remember how much problems this initially gave me but once you get the hang of them they are not that hard.  :)

Now you try the second one.  And we should do a whole heap more after that.

You are refering to this question?