pepperzealot
Badges: 0
Rep:
?
#1
Report Thread starter 6 years ago
#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
reply
lerjj
Badges: 12
Rep:
?
#2
Report 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
reply
TenOfThem
Badges: 18
Rep:
?
#3
Report 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
reply
pepperzealot
Badges: 0
Rep:
?
#4
Report Thread starter 6 years ago
#4
(Original post by TenOfThem)
Have you sketched?
Yes.
0
reply
TenOfThem
Badges: 18
Rep:
?
#5
Report 6 years ago
#5
(Original post by pepperzealot)
Yes.
So, where are you having difficulties?
0
reply
pepperzealot
Badges: 0
Rep:
?
#6
Report Thread starter 6 years ago
#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”.
0
reply
pepperzealot
Badges: 0
Rep:
?
#7
Report Thread starter 6 years ago
#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
reply
TenOfThem
Badges: 18
Rep:
?
#8
Report 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?
0
reply
pepperzealot
Badges: 0
Rep:
?
#9
Report Thread starter 6 years ago
#9
(Original post by TenOfThem)
What happens to the graph as x tends to infinity?
Increases??
0
reply
pepperzealot
Badges: 0
Rep:
?
#10
Report Thread starter 6 years ago
#10
(Original post by TenOfThem)
What happens to the graph as x tends to infinity?
y becomes bigger?
0
reply
TenOfThem
Badges: 18
Rep:
?
#11
Report 6 years ago
#11
(Original post by pepperzealot)
y becomes bigger?
and tends to ...
0
reply
pepperzealot
Badges: 0
Rep:
?
#12
Report Thread starter 6 years ago
#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
reply
TenOfThem
Badges: 18
Rep:
?
#13
Report 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 ^^
0
reply
pepperzealot
Badges: 0
Rep:
?
#14
Report Thread starter 6 years ago
#14
(Original post by TenOfThem)
I would describe the turning point at x=10 and the ^^
Thanks a lot!! I got it~
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

Should there be a new university admissions system that ditches predicted grades?

No, I think predicted grades should still be used to make offers (732)
33.84%
Yes, I like the idea of applying to uni after I received my grades (PQA) (925)
42.76%
Yes, I like the idea of receiving offers only after I receive my grades (PQO) (411)
19%
I think there is a better option than the ones suggested (let us know in the thread!) (95)
4.39%

Watched Threads

View All