A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
find the absolute and local maximum and minimum values of f.f(x) = 8  2x
x ≥ 1
anonymous
 5 years ago
find the absolute and local maximum and minimum values of f.f(x) = 8  2x x ≥ 1

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is this calculus? Or algebra 2?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Find all critical points and plug them in to the function and the highest number is the absolute max and lowest is the absolute min. Dont forget to include 1 since that's one bound.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how do i find the criteria

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Are you taking algebra, or calculus?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Because there are a few ways to do this depending on what you know.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, so take the derivative of f. What do you have?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right. So when you are finding local mins/maxes you are looking for places where the derivative is 0. When is 2=0?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So there are no local mins or maxes. So you just have to look at the value at the "end" points for absolute mins/maxes. Which is to say x=1, there is no other end point because the other bound goes to \(\infty\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So what is the value at x=1?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0And what happens as x gets larger? Is f(1)=6 an absolute min or is it a max?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes. And it has no absolute min, and no local mins or maxes.
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.