anonymous
  • anonymous
lim x>4- ([[x]]-7)
Mathematics
  • 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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[\lim_{x \rightarrow 4-} ([[x]] -7)\]
anonymous
  • anonymous
greatest integer function, it will be a horizontal line from (3<=x<4)
anonymous
  • anonymous
yea i have seen graphs of these functions

Looking for something else?

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

More answers

anonymous
  • anonymous
looks sorta like steps
anonymous
  • anonymous
yes
anonymous
  • anonymous
but i have no idea how to graph one myself
anonymous
  • anonymous
i am assuming if I graphed this I could see the limit
anonymous
  • anonymous
which according to the book is 8
anonymous
  • anonymous
You're approaching x=4 from the left, correct?
anonymous
  • anonymous
they need a grapher on this site
anonymous
  • anonymous
yes from the left
anonymous
  • anonymous
If you're approaching 4 from the left, [[x]] will be 3
anonymous
  • anonymous
so how to i determine the points i need to plot on [[x]]-7
anonymous
  • anonymous
you have to take into account the -7
anonymous
  • anonymous
yes, so -4 overall
anonymous
  • anonymous
It's just the graph of f(x)=[[x]] shifted down 7 units
anonymous
  • anonymous
well the book says 8 so .... >.<
anonymous
  • anonymous
oh i know why
anonymous
  • anonymous
i missed a 5 lol
anonymous
  • anonymous
5[[x]]-7
anonymous
  • anonymous
so to graph this
anonymous
  • anonymous
yes, so 5(3)-7=8
anonymous
  • anonymous
If you were approaching from the right, [[x]] would be 4
anonymous
  • anonymous
yes i understnad that
anonymous
  • anonymous
so you don't know how to graph the greatest integer function?
anonymous
  • anonymous
nope i dont
anonymous
  • anonymous
i know what they look like
anonymous
  • anonymous
but not how to graph one given an equation
anonymous
  • anonymous
|dw:1329178784965:dw|
anonymous
  • anonymous
that is f(x)=[[x]]
anonymous
  • anonymous
for 0-3
anonymous
  • anonymous
yea how do i know to start at 0 and stop 1
anonymous
  • anonymous
then start at 1,2 and stop at 2,1
anonymous
  • anonymous
oops 1,1
anonymous
  • anonymous
greatest integer function definition, [[x]] is the greatest integer less than or equal to x
anonymous
  • anonymous
f(x)=[[x]] f(3.999999999999999999999)=3 f(3)=3 f(4)=4
anonymous
  • anonymous
so by definition if x=1 then [[x]] is x>= 1
anonymous
  • anonymous
i mean <=1
anonymous
  • anonymous
if x=1, [[x]]=1
anonymous
  • anonymous
Just think of it as going down the steps instead of up...you'll start as close as you can to [[x]]+1 and end up at [[x]]
anonymous
  • anonymous
but you're not actually starting at [[x]] + 1
anonymous
  • anonymous
so an open circle
anonymous
  • anonymous
it is defined at all integers, but not continuous at any integer
anonymous
  • anonymous
so if I were doing 5[[4]]-7 i would plot from (4,13) t0 (5,13) with an open point at (5,13)?
anonymous
  • anonymous
yes, open circle at (5,13), closed at (4,13)
anonymous
  • anonymous
and if it happened to be [[-x]] i would just reflect
anonymous
  • anonymous
across the y axis, yes
anonymous
  • anonymous
thanks
anonymous
  • anonymous
np

Looking for something else?

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