Question

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

Answer 1

@mathstudent55 @astrophysics @KEYS

Answer 2

Please anyone

Answer 3

@owlcoffee

Answer 4

Hi!!

Answer 5

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

Answer 6

Is the y intercept (0,-180)

Answer 7

@owlcoffee

Answer 8

@phi

Answer 9

@LynFan please help😊

Answer 10

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...

Answer 11

OK so whatvabout the xintercept?

Answer 12

let y=0 and solve for x ok

Answer 13

Ok so would it be (-1,0)

Answer 14

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

Answer 15

So would there be multiply x intercepts

Answer 16

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

Answer 17

I'm sorry I'm not getting this😥

Answer 18

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

Answer 19

Thank you

Answer 20

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

Answer 21

@LynFan yes?

Answer 22

(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

Answer 23

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

Answer 24

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

Answer 25

The x intercept

Answer 26

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

Answer 27

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

Answer 28

Can u just write it here without the link

Answer 29

ok the first step to do is to factor the equation

Answer 30

\[x ^{3}-18x ^{2}+101x-180=0\]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 \[x=4\]\[x=5\]\[x=9\]

Answer 31

Then howvwould u graph thaylt

Answer 32

Can u graph that?

Answer 33

Wouldn't it u use Descartes sign rule?

Answer 34

Wouldn't it u use Descartes sign rule?

Answer 35

Ahhhh that you!!!!

Answer 36

Thank you!!

Answer 37

welcome