A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
help please :)
What is the domain and range of (4x+3)/x^21
anonymous
 one year ago
help please :) What is the domain and range of (4x+3)/x^21

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the domain is all real numbers but 1 and 1 right??

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1yeah since there is a fraction. we have a restriction so \[(x^21) =(x+1)(x1) \] x=1, 1 so our domain should be all reals except when x =1 or x = 1. Those restrictions create a blank space in the graph

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1range is in the yaxis... hmm.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1range is always a pain >_< but here's the graph of the function

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1we have the domain... which x is all reals except when x =1 and x =1

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1we got the graph of the function ... the range is in the yaxis so it must be all reals except when y is some number ?!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1@jim_thompson5910 I need to refresh my memory. Range is in the yaxis but how do we find it again when there are restrictions in the function ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0degree of denominator = 2 degree of numerator = 1 since (degree of denominator) > (degree of numerator), this means y = 0 is a horizontal asymptote. So y = 0 would be kicked out of the range but y = 0 is certainly possible. Just let x = 3/4

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0plug in x = 3/4 and you'll get y = 0

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0so the range is the set of all real numbers

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1how is the range all reals? I don't get that part..

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1oh wait.. unless the line is going through all y values. ._.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0yeah any y value is possible

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1it is all reals XD . My mind went blank . Why is domain easier to find than range?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1in the graph the lines is going through all the yvalues where as in the xvalues, there is a break (like an empty space) at x=1, x = 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh!! i see it, thank you :) can you also help me on finding the relative extrema for 2x^3+5x^225x?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1alright but first we have to graph this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can we find it without graphing

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1relative extrema.. like maxs and mins.. (gonna be hard though without a graph )

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1there's the first derivative test though for increasing and decreasing.. finding extremas... but I'm not sure if you're at that level yet.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nope haha im confused. i'm supposed to find it without equation i think

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so you're not in a calculus course?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1ok... do you know how to take derivatives?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1weird you need those

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1this site has an example for finding relative extrema http://ltcconline.net/greenl/courses/105/theoremsrelatedrates/extrema.htm

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i figured it out haha thanks :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.