At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions

Familiar with the derivative ? can you take the derivative of f(x), if so, what do you get ?

what are the roots of 2 ? where does it cross the x axis

at y=0???

can y ever be zero if it always equals 2 ?

nope

any max extrema then ?

abs*

im kinda of confused by ur question :[

u got x=2
put it in f(x) to find the extrema

1 ?

thats correct :)

thats it?

but you c in my book it has an answer or answers of min (0,-3) and max (2,1)

*local = absolute

whenever we don't get global extrema, we put endpoints....remember this.

i am utterly confused :[

lets start over ?

yes please :]

ok, absolute extrema means max or min points in the given interval.

now to find min or max values, you take derivative of function and set it =0

ok

or if its like 1/0 right?

in that case, we can find 'local' or 'absolute' values at the endpoints, they become min/max values.

yes.

so 2=0

i can't think of an example when u get 1/0 after taking the derivative.

here , you get f'(x) =2
we cannot equate this to 0

because 2 can never =0
hence there is no extrema, or as we say, no global extrema

but we can find absolute extrema, that is min/max in GIVEN INTERVAL

how do we find these?

one of the end-point is x=2
there what is f(x) = ?

1?

so the point is (2,1) and this is one of the extrema
we don't know yet whether this is max or min

now put other end point, x=0
what is f(x)

wait where did we get x=0?

[0,2]

your interval [0,2]

thats where i got x=2 also earlier

ooooooooo okay there will be 3 extrema right???

how come 3 ?
one for x=2, and one for x=0

o yeah my bad -_- :]

we do the same for 0 right ???? plug it into the orig equation? right?

you could just say there's no global min/max since the function is linear right?..

yes.

to both

k, thanks. double checking.

now put other end point, x=0
what is f(x)

-3?

so the other point is ?

and which one should be min and which one should be max ?

0,-3 is min the other is max?

yes, thats correct.
clear with every step ?

yes sir or mam! :]

thanks so much!

your welcome ^_^

:]