Help Please number 5
http://prnt.sc/ay5iv3

Question

Help Please number 5 
http://prnt.sc/ay5iv3

xguardians · Answer

First, are you allowed a calculator on this section?

king2001 · Answer

yo wassup

marcelie · Answer

yes

xguardians · Answer

Do you know what local/absolute mins and maxs are?

marcelie · Answer

yes i think so

xguardians · Answer

Okay, here is a picture of the graph of a function.
At what point (x-value) do you think a local/absolute min/max occurs?

marcelie · Answer

abs max is the highest value n abs min is lowest value
local min is like somewhat next to abs min 
local max is like next to abs min ?

marcelie · Answer

this is what i got http://prnt.sc/ayjb5j

marcelie · Answer

quit spamming king T_T

marcelie · Answer

come back @xGuardians

marcelie · Answer

is my work correct ?

xguardians · Answer

Yes, all the values you inputted are correct.

marcelie · Answer

oh okay but where i wrote.. do i plugin to original or to derivative equation ?

xguardians · Answer

Plug in x values into the original to find y values.

marcelie · Answer

oh okay i got my answers with two same ys

xguardians · Answer

Therefore, the answer should be f(3) is the absolute minimum.

xguardians · Answer

f(4) is an absolute maximum.

xguardians · Answer

f(2) is a local maximum.

marcelie · Answer

does it matter if theres two same y's with the same value ?

xguardians · Answer

What do you mean?

marcelie · Answer

this is what i got when i plugged in the original to my calculator http://prnt.sc/ayje1f

xguardians · Answer

You don't have to worry about 1 and 4, since the question is only asking between the interval of [2,4].

marcelie · Answer

ohhh but would it be wrong if i plugg them in ?

xguardians · Answer

Not necessarily, but it can lead you to overthink things like you are now :P

xguardians · Answer

Are you in AP calculus as well?

marcelie · Answer

lol. ohh i seee   oh im in calculus 1

marcelie · Answer

but is there a way i can tell right away itll be my abs max?

xguardians · Answer

If you graph it, yes. Since at f(3), it has the lowest y-value. If no graphing calculator, do exactly what you had done on paper, then check the endpoints and any critical values.

marcelie · Answer

so my endpoints are 2 and 4 ?

marcelie · Answer

okay for abs max which i had f(1) and f(4) do i pick which one will be it ?

xguardians · Answer

You can only consider values between [2,4] as stated in the original question you gave me. You should not even be considering f(1) since it is not in the domain. Therefore, it has to be f(4).