## anonymous 5 years ago find the absolute and local maximum and minimum values of f.f(x) = 8 - 2x x ≥ 1

1. anonymous

Is this calculus? Or algebra 2?

2. anonymous

Find 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.

3. anonymous

how do i find the criteria

4. anonymous

Are you taking algebra, or calculus?

5. anonymous

Because there are a few ways to do this depending on what you know.

6. anonymous

calculus

7. anonymous

Ok, so take the derivative of f. What do you have?

8. anonymous

-2

9. anonymous

Right. So when you are finding local mins/maxes you are looking for places where the derivative is 0. When is -2=0?

10. anonymous

never lol

11. anonymous

So 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 $$\infty$$

12. anonymous

So what is the value at x=1?

13. anonymous

6

14. anonymous

And what happens as x gets larger? Is f(1)=6 an absolute min or is it a max?

15. anonymous

max

16. anonymous

so 6 is the max

17. anonymous

Yes. And it has no absolute min, and no local mins or maxes.

18. anonymous

ok i get it!!!

19. anonymous

thank u!

20. anonymous

Of course!