What is the relative maximum and minimum of the function?

f(x) = 2x3 + x2 - 11

Question

What is the relative maximum and minimum of the function?

f(x) = 2x3 + x2 - 11

anonymous · Answer

Having trouble with this. The relative is deferent then the local correct? Sorry to bother you again, if your still up, have any idea on this one? @satellite73 @Luigi0210

anonymous · Answer

has a min, not max since it is a parabola that opens up
min is the second coordinate of the vertex

anonymous · Answer

oh crap it is cubic!! sorry

anonymous · Answer

$$f(x) = 2x^3 + x^2 - 11$$
$$f'(x)=3x^2+2x$$ set it equal to zero and solve
it has a relative max and a relative min

anonymous · Answer

it is cubic so it goes from $-\infty$ to $\infty$ and has no absolute max or min

anonymous · Answer

if you solve 
$$3x^2+2x=0$$ you get $x=-\frac{2}{3}$ or $x=0$

anonymous · Answer

the one on the left will give a relative max and $0$ will give a relative min

anonymous · Answer

answers

anonymous · Answer

oh and no relative is local 
same thing

anonymous · Answer

oh damn i made a mistake

anonymous · Answer

$$f'(x)=6x^2+2x$$

anonymous · Answer

but none of your answer are answers to this one

anonymous · Answer

I mean its from my high school I think there has to be one

anonymous · Answer

check the function again, i am quite positive these are not answers to that one

anonymous · Answer

f(x) = 2x^3 + x^2 - 11

anonymous · Answer

did you know that?

anonymous · Answer

$$f(x) = 2x^3 + x^2 - 11$$
$$f'(x)=6x^2+2x$$ for sure
now set $6x^2+2x=0$ you get 
$$2x(3x+1)=0$$ so either $x=0$ or $x=-\frac{1}{3}$

anonymous · Answer

your answers are not to this question, or someone made a mistake
sorry

anonymous · Answer

hmm interesting. if you had to make a guess?

anonymous · Answer

they are not even close
don't guess, they are wrong

anonymous · Answer

well its for online highschool and if i dont check any then its definitely wrong. Heres a pic of the whole question. Maybe you miss understood something...

anonymous · Answer

yeah i see it
it is wrong

anonymous · Answer

relative min is $-11$ at $x=0$

anonymous · Answer

look i know this is on line and you have to put in something, but you should contact them somehow and tell them it is wrong
don't give in to the machine
anyway, if you have a real teacher he or she will think you are paying attention and be happy

anonymous · Answer

the answers are not even close

anonymous · Answer

okay i sent a message in. Thanks

anonymous · Answer

I saw you answered a similar question.

 What polynomial has a graph that passes through the given points?

(-2, 2) (-1, -1) (1, 5) (3, 67)

anonymous · Answer

@satellite73

anonymous · Answer

@Mathard