WILL MEDAL AND FAN!! NEED HELP ASAP!! PLEASE!! Describe the graph x3-18x2+101x-180. Find the y and x intercepts

- anonymous

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- anonymous

@mathstudent55 @astrophysics @KEYS

- anonymous

Please anyone

- anonymous

@owlcoffee

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## More answers

- anonymous

Hi!!

- Owlcoffee

\[f:f(x)=x ^{3}-18x^2+101x-180\]
Before I bI+ll describe to you why I put the "f:f(x)" there.
Very simple, because a graph is but a bunch of points set up in a reference system, where x increases, the value of y will be dependant on the value of "x" that we take in consideration, therefore, the "function" describes the behavior of these points.
There are some notable points that most functions have in their composition, which are:
(1) The y-intercept
(2)The x-interception, often called "zeroes" or "roots".
The "y-intercept" is the notable point of the function where the "x" value is zero, therefore, we will take the function and replace all the "x's" with "0's" and that will allow us to know where in the y-axis the point is situated:
\[f:f(0)=(0)^3-18(0)^2+101(0)-180\]
I'll leave the calculations to you.
The "x" interception is a little more complex, but very linear concept, but these notable or notable points have the definition of nullifying the function, meaning that we want to know the values of "x" that make the whole function equal zero:
\[x ^{3}-18x^2+101x-180 =0\]

- anonymous

Is the y intercept (0,-180)

- anonymous

@owlcoffee

- anonymous

@phi

- anonymous

@LynFan please helpðŸ˜Š

- LynFran

ok to find the x intercept we let y=0
to find the y intercept we let x=0
and yours y intercept is correct...

- anonymous

OK so whatvabout the xintercept?

- LynFran

let y=0 and solve for x ok

- anonymous

Ok so would it be (-1,0)

- LynFran

\[x ^{3}-18x ^{2}+101x-180=0\]

- anonymous

So would there be multiply x intercepts

- anonymous

Is it 3x+36x-101x-180

- anonymous

I'm sorry I'm not getting thisðŸ˜¥

- LynFran

https://www.symbolab.com/solver/algebra-calculator/x%5E%7B3%7D-18x%5E%7B2%7D%2B101x-180%3D0/?origin=button

- anonymous

Thank you

- anonymous

Would the intercepts be (-1,0) (2,0)

- anonymous

@LynFan yes?

- LynFran

(5,0), (4,0), (9,0) and (0,-180)
the solution to y intercept also...
https://www.symbolab.com/solver/algebra-calculator/0%5E%7B3%7D-18%5Cleft(0%5Cright)%5E%7B2%7D%2B101%5Cleft(0%5Cright)-180%3Dy/?origin=button

- anonymous

Can u showvme how u found that on here? It won't open on my browser

- LynFran

what r u talking about...how i find what?

- anonymous

The x intercept

- LynFran

i type the complete equation here...https://www.symbolab.com/solver/algebra-calculator/x%5E%7B3%7D-18x%5E%7B2%7D%2B101x-180%3D0/?origin=button and the calculator solve for x intercept

- anonymous

It won't work BC it says I have to pay for it

- anonymous

Can u just write it here without the link

- LynFran

ok the first step to do is to factor the equation

- LynFran

\[x ^{3}-18x ^{2}+101x-180=0\]when factored we get\[(x-4)(x-5)(x-9)=0\] we then let each bracket=0 since they are product of each other..\[(x-4)=0\]\[(x-5)=0\]\[(x-9)=0\]..so \[x=4\]\[x=5\]\[x=9\]

- anonymous

Then howvwould u graph thaylt

- anonymous

Can u graph that?

- anonymous

Wouldn't it u use Descartes sign rule?

- anonymous

Wouldn't it u use Descartes sign rule?

- LynFran

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- anonymous

Ahhhh that you!!!!

- anonymous

Thank you!!

- LynFran

welcome

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