# Help! C2 textbook maths problem!

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#1
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!!!
0
6 years ago
#2
(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.
0
6 years ago
#3
(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?
0
#4
(Original post by TenOfThem)
Have you sketched?
Yes.
0
6 years ago
#5
(Original post by pepperzealot)
Yes.
So, where are you having difficulties?
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#6
(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”.
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#7
(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”.
0
6 years ago
#8
(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?
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#9
(Original post by TenOfThem)
What happens to the graph as x tends to infinity?
Increases??
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#10
(Original post by TenOfThem)
What happens to the graph as x tends to infinity?
y becomes bigger?
0
6 years ago
#11
(Original post by pepperzealot)
y becomes bigger?
and tends to ...
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#12
(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?
0
6 years ago
#13
(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 ^^
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#14
(Original post by TenOfThem)
I would describe the turning point at x=10 and the ^^
Thanks a lot!! I got it~
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