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Help! C2 textbook maths problem!

Hi I need some help on this question. This is an investigation problem in Differentiation chapter on C2 textbook.


A population of birds on an island, P, is a function of the number of predators,x.
The population follows the equation P= x^3 -12x^2 -60x +850 where x >0


Sketch the graph of this function and discuss the shape of the curve and its behaviour as x tends to be infinity.
How can you explain this.


Thanks a lot!!!
Reply 1
Avatar for lerjj
lerjj
13
Original post by pepperzealot
Hi I need some help on this question. This is an investigation problem in Differentiation chapter on C2 textbook.


A population of birds on an island, P, is a function of the number of predators,x.
The population follows the equation P= x^3 -12x^2 -60x +850 where x >0


Sketch the graph of this function and discuss the shape of the curve and its behaviour as x tends to be infinity.
How can you explain this.


Thanks a lot!!!


Well it's a cubic graph, so you just sketch it how you normally would, except in this case you need t pay attention to the domain.
Original post by pepperzealot
Hi I need some help on this question. This is an investigation problem in Differentiation chapter on C2 textbook.


A population of birds on an island, P, is a function of the number of predators,x.
The population follows the equation P= x^3 -12x^2 -60x +850 where x >0


Sketch the graph of this function and discuss the shape of the curve and its behaviour as x tends to be infinity.
How can you explain this.


Thanks a lot!!!


Have you sketched?
Reply 3
Avatar for pepperzealot
pepperzealot
OP
Original post by TenOfThem
Have you sketched?

Yes.
Original post by pepperzealot
Yes.


So, where are you having difficulties?
Reply 5
Avatar for pepperzealot
pepperzealot
OP
Original post by lerjj
Well it's a cubic graph, so you just sketch it how you normally would, except in this case you need t pay attention to the domain.


Thanks.
But I am confused about what is the behaviour as x tends to infinity? and how to explain it? I think it is just a cubic graph why does the question emphasize “infinity”.
Reply 6
Avatar for pepperzealot
pepperzealot
OP
Original post by TenOfThem
So, where are you having difficulties?

Thank you!

I am confused about what is the behaviour as x tends to infinity? and how to explain it? I think it is just a cubic graph why does the question emphasize “infinity”.
Original post by pepperzealot
Thanks.
But I am confused about what is the behaviour as x tends to infinity? and how to explain it? I think it is just a cubic graph why does the question emphasize “infinity”.


What happens to the graph as x tends to infinity?
Reply 8
Avatar for pepperzealot
pepperzealot
OP
Original post by TenOfThem
What happens to the graph as x tends to infinity?


Increases??
Reply 9
Avatar for pepperzealot
pepperzealot
OP
Original post by TenOfThem
What happens to the graph as x tends to infinity?

y becomes bigger?
Original post by pepperzealot
y becomes bigger?


and tends to ...
Original post by TenOfThem
and tends to ...

oooo

P becomes bigger and tends to be infinity??

Thank you very much!! !!!!!

So for the explanation

can I just say there is no turning point after x=10, hence the graph will increase all the time?
Original post by pepperzealot
oooo

P becomes bigger and tends to be infinity??

Thank you very much!! !!!!!

So for the explanation

can I just say there is no turning point after x=10, hence the graph will increase all the time?


I would describe the turning point at x=10 and the ^^
Original post by TenOfThem
I would describe the turning point at x=10 and the ^^


Thanks a lot!! I got it~ :tongue:

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