Question

use the graph below to answer the following questions
http://img.photobucket.com/albums/v329/darkmare/6BXOEFIYK104-1695-setAssignment8prob2image1.png

1. For what values of x does the function f have a local maximum on (0,8)?
Answer (separate by commas): x=
2. For what values of x does the function f have a local minimum on (0,8)?
Answer (separate by commas): x=
3. Find the absolute maximum for the function f on the interval [0,8].
Answer:
4. Find the absolute minimum for the function f on the interval [0,8].

Answer 1

I cant get any of these right and I thought I knew what each one was, please help

Answer 2

a local maximum is a peak on the graph that is not the highest peak, local minimum is the exact opposite, the absolute maximum is the highest point on the graph, absolute minimum is the exact opposite.
You can have multiple local max/min values, but only one absolute max/min

Answer 3

local maximum would be x=3 correct?
local minimum x=5?
absolute max x=3 again
and absolute max =0?

Answer 4

when I enter these values in It tells me I am wrong

Answer 5

local max at 3 is right, but there is another at x = 8

Answer 6

x = 5 is the absolute min, not a local min

Answer 7

x = 2 is a local min
x = 0 is the absolute max (I think, even though that point is not defined)

Answer 8

so u can have a local min when its just a point?

Answer 9

honestly, I'm don't recall. Maybe not since a minimum is where the derivative = 0 and you cannot take the derivative of a single point

Answer 10

hmm ok well thank you for your help so far :)

Answer 11

you're welcome