DESPERATE PLZ HELP

- iwanttogotostanford

DESPERATE PLZ HELP

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- iwanttogotostanford

@jim_thompson5910 @pooja195 @satellite73 @zepdrix @triciaal

- iwanttogotostanford

@Teddyiswatshecallsme @sleepyhead314

- iwanttogotostanford

@Gir_16 @cookienano

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## More answers

- triciaal

the x-intercept is when y = 0.
W(x) = y

- iwanttogotostanford

so far this is all I've got: -To find the x intercept of W(x) , set W(x) to 0 and then solve for x. The given function W(x) should be zero at whatever point it intersects with x-axis.

- iwanttogotostanford

@triciaal

- triciaal

yes you said the same thing twice.

- iwanttogotostanford

ok is that sufficient do you think for the first part of the question to be answered correctly?

- iwanttogotostanford

@triciaal

- triciaal

you don't need to tag me if I am right here reading.

- iwanttogotostanford

ok sorry

- triciaal

it sounds better with the 2nd sentence first.

- iwanttogotostanford

ok thanks! I am stuck on how to find the second part of the question though

- triciaal

insert "this is the x-intercept."

- triciaal

for example with a function like (put your example) to construct a rough draft we would choose values of x and find the corresponding value of y . we could also determine the end value behavior of the function.

- triciaal

***choose both positive and negative values

- iwanttogotostanford

ok so like: x=1 and then y=-2 ? How many values do i need to choose

- triciaal

think you should first make up your function.
domain set of x-values example { -3 - 2- 1 0 1 2 3 )
range output values lowest to highest
end behavior f(-x) and f(x)

- triciaal

after you have the graph then you can identify where it crosses the x-axis hence see where the intercepts are.

- triciaal

|dw:1446691331378:dw|

- triciaal

here is the graph for this example shows one negative root. 2 complex roots y-intercept is (0,5)

##### 1 Attachment

- iwanttogotostanford

@triciaal please come back when you can please!

- misty1212

HI!!

- misty1212

you are working too hard for sure
you can make up anything you like, any cubic polynomial with some zeros
how many zeros would you like, and what would you like them to be?

- misty1212

btw "how many zeros would you like" your choices are one, two or three
you can impress them by picking 3 or whatever

- iwanttogotostanford

@misty1212 ok, how do i do this part, i already completed the first part of the problem and now I have this part left, what do i have to do: how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level

- misty1212

what was your polynomial ?

- iwanttogotostanford

I have this so far: The given function W(x) should be zero at whatever point it intersects with x-axis. To find the x intercept of W(x) , set W(x) to 0 and then solve for x. The given function W(x) should be zero at whatever point it intersects with x-axis.

- misty1212

here, i will construct a polynomial of degree 3 with zeros at 3, 5 and 8\[(x-3)(x-5)(x-8)=x^3-16 x^2+79 x-120\]

- misty1212

it will cross the x axis at 3, 5 and 8

- iwanttogotostanford

ok:-)

- misty1212

you can make up your own, takes two seconds only
looks like you are thinking too hard for this one

- misty1212

|dw:1446734536788:dw|

- iwanttogotostanford

ok how do i make up my own? Sorry I'm just kind of lost on this last part

- misty1212

pick three zeros, i don't care what you say

- misty1212

pick any three

- iwanttogotostanford

2, 4, and 8

- misty1212

then the factors are \(x-2,x-4\) and \(x-8\) multiply \[(x-2)(x-4)(x-8)\] to get the polynomial in standard form

- misty1212

i use this to make sure i don't make an algebra mistake
http://www.wolframalpha.com/input/?i=%28x-2%29%28x-4%29%28x-8%29
gives the graph too

- iwanttogotostanford

ok- how do i multiply those? Just FOIL or distribute

- iwanttogotostanford

@misty1212

- misty1212

lol foil
you got three to multiply, i guess you could "foil" the first two, then multiply by the third
whatever you like

- iwanttogotostanford

ok and then how do I say that is a part of my answer for the last part of the question?

- misty1212

then you can see from the graph that it crosses the x axis at 2, 4 and 8

- misty1212

i will leave the inglish up to you
you are smart, i am sure you can write something in your own words

- iwanttogotostanford

ok haha

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