anonymous
  • anonymous
Graph f(x)=abs[x] (recall that [x] denotes the greatest integer function) and find the domain and range
Algebra
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
tkhunny
  • tkhunny
Where do these go? abs[1.5] abs[0.5] abs[-0.5] abs[-1.5]
anonymous
  • anonymous
huh?
anonymous
  • anonymous
first off, what do they mean by the greatest integer function

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

tkhunny
  • tkhunny
That's what I was asking. There are various definitions. Often it is the "Greatest Integer NOT GREATER THAN the given value" Therefore: abs[1.5] = abs(1) = 1 abs[0.5] = abs(0) = 0 abs[-0.5] = abs(-1) = 1 abs[-1.5] = abs(-2) = 2 Make sense?
anonymous
  • anonymous
ok
anonymous
  • anonymous
but 1.5 is greater than 1
anonymous
  • anonymous
also i thought decimals are not integers
tkhunny
  • tkhunny
The Domain of this function is ALL Real Numbers. The Range is quite a different animal. The Greatest Integer function takes ANY argument but produces only integers. This, 1.5 can go into this function (no one cares if it's an integer), but you cannot get it out (it's not an integer).
anonymous
  • anonymous
what does the graph look like
anonymous
  • anonymous
and so how do we find the range
tkhunny
  • tkhunny
You tell me. [0] = 0 [0.1] = 0 [0.2] = 0 [0.4] = 0 [0.8] = 0 [0.9] = 0 [0.99] = 0 [0.999] = 0 [0.9999] = 0 [0.99999] = 0 [1] = 1
goformit100
  • goformit100
"Welcome to OpenStudy. I can guide regarding this useful site; ask your doubts from me, for it you can message me. Please use the chat for off topic questions. And remember to give the helper a medal, by clicking on "Best Answer". We follow a code of conduct, ( http://openstudy.com/code-of-conduct ). Please take a moment to read it."
anonymous
  • anonymous
so is it just points on a graph
anonymous
  • anonymous
and range is just 0 and 1 and 2 and (no negatives)
tkhunny
  • tkhunny
No, it's mostly continuous. I just picked a few points between 0 and 1 to provide an example of it;'s behavior. Once you hit an integer, it jump to that integer and stays there until you hit the next integer.
anonymous
  • anonymous
can u draw it please
anonymous
  • anonymous
i am having trouble understanding you
tkhunny
  • tkhunny
It is a series of horizontal line segments. Start at (0,0) and proceed to (1,0). Traditionally, one uses a closed dot at (0,0) and an open circle at (1,0). Then it jumps to a closed dot at (1,1) and continues horizontally to an open dot at (2,1)
anonymous
  • anonymous
can you please draw it for me
tkhunny
  • tkhunny
Are you saying you cannot draw a horizontal line from (0,0) to (1,0)?
tkhunny
  • tkhunny
|dw:1378190001583:dw| The closed circles on the left and closed on the right are missing, but that's the idea.
tkhunny
  • tkhunny
Whoops! OPEN on the right.
anonymous
  • anonymous
thanks

Looking for something else?

Not the answer you are looking for? Search for more explanations.