The graph of the function has more than one turning point. Use the graphing calculator to find the coordinates of the turning point that lies in the given interval.
f(x)= 7x^3 -9x^2 -x+1, [-1, 10] The coordinates of the turning point are

- anonymous

- chestercat

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- TuringTest

Is this calculus?

- anonymous

College Algebra

- anonymous

Find f'(x)

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## More answers

- TuringTest

The asker said algebra, so presumably that means no calculus allowed.

- anonymous

So what do I do?

- TuringTest

it would certainly be a much easier calculus problem
not sure I know a method for this using only algebra, I'll have to think on it...

- anonymous

ok

- anonymous

Graph it

- TuringTest

that's all I can think of too

- anonymous

And the calculus way?

- TuringTest

find x=a such that f'(a)=0

- TuringTest

...in the given interval

- anonymous

http://www.wolframalpha.com/input/?i=plot+y%3D7x^3+-9x^2+-x%2B1

- anonymous

ok so what would the coordinates of the turning point?

- anonymous

It says "Use the graphing calculator to find the coordinates of the turning point that lies in the given interval"

- TuringTest

wow I managed to not even read the post :P
thanks cinar

- anonymous

I dont have one

- anonymous

(:

- TuringTest

the website wolfram alpha is a pretty good one
http://www.wolframalpha.com/

- TuringTest

that site serves as a graphing calculator

- anonymous

laptop blocked it

- anonymous

http://answers.yahoo.com/question/index?qid=20091030113220AAieoZy

- TuringTest

that method again requires calculus
your three options are to buy the graphing calculator, get wolfram working on your laptop, or learn calculus
besides that I have no ideas

- anonymous

I guess you have to use derivative

- anonymous

they are roughly (0.9,-2) (0.1,1) but exactly

- anonymous

It was (-0.05, 1.03)

- anonymous

http://www.wolframalpha.com/input/?i=max+y%3D7x^3+-9x^2+-x%2B1

- TuringTest

wolfram disagrees o_O

- anonymous

http://www.wolframalpha.com/input/?i=min+y%3D7x^3+-9x^2+-x%2B1

- anonymous

that's right, I just used my eyes (:

- anonymous

(-0.05,1.03) and (0.91,-2.09) these are your answer..

- anonymous

I made typo for this they are roughly (0.9,-2) (0.1,1) but exactly

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