Question

what is the equation for the graph shown? PLEASE HELP

Answer 1

im not a teacher or a smartass but lets see if we can do together

Answer 2

Ok..

Answer 3

pretty much it looks just like quadrants

Answer 4

so Im just gonna assume pie as x-axis

Answer 5

Ok

Answer 6

f(x)= (x-6)(x-7)(x-8)

Answer 7

now if you know how to multiply you can get the function of that in other words the equation

Answer 8

I'm not entirely sure how I would do that, I really struggled with this and my teacher did not explain it well

Answer 9

that graph in not for a polynomial function
it is a circular function like sin cos tan...
that graph seems like tan

Answer 10

Yea @xapproachesinfinity that is what I thought so as well

Answer 11

alright so the equation is f(x)=\[x ^{3}-21x ^{2}+146x-336\]

Answer 12

I would be a trig function right?

Answer 13

but that equation does not have discontinuity
and our graph has a bunch of discontinuities
polynomial are defined \[\mathbb{R} \rightarrow \mathbb{R} \]

Answer 14

yes no doubt!

Answer 15

Ok so how would I complete it in terms of Tan

Answer 16

now the question is y=A tan(Bx-C)
what is A , B , C

Answer 17

I'm not sure...

Answer 18

a is 6pie b is 7pie c is 8pie?

Answer 19

eh i forgot it is gonna be of form y=Atan(Bx-C)+D

Answer 20

hmm no where did you got that lol

Answer 21

So I would have to find the amplitude and period? If so I have trouble with that as well

Answer 22

in english

y=Amplitude*tan (Period/Pi *(x- phase shift)) + Vertical Shift

Answer 23

yes that's what you need to find

Answer 24

I have trouble with finding the amplitude and period and phase shifts especially when it comes to graphs, do you guys mind helping me, I would love to learn how

Answer 25

period of tan is pi

Answer 26

Like how would I find the aplitude and phase shift and bring it all together to make an equation

Answer 27

i actually forgot how to get those! lol
check your book should have it

Answer 28

so you just simply write 22/7 i guess

Answer 29

The book does have it but sadly ut doesnt explain it well :(

Answer 30

i haven't dealt with those forms for a while so forgot them hehe

Answer 31

check the youtube (video on how to do it)

Answer 32

@perl aight we need your help here

Answer 33

or tag someone hehehe who is acquainted with this

Answer 34

ok thanks for trying

Answer 35

i need to do review of this stuff hehehe
but i'm sure it is not something really that hard just a pick on the book would do

Answer 36

good luck!

Answer 37

what course is this

Answer 38

we appreciate your help @xapproachesinfinity

Answer 39

Its PreCalc

Answer 40

No problem ^_^

Answer 41

wait a sec I have precalc txt brb

Answer 42

ok

Answer 43

oh i see... well what book do you use?

Answer 44

whats the content?

Answer 45

the content is graphs of trig functions

Answer 46

Since my stuffs were packed i cant find my txtbook but I'll use online txt

Answer 47

perl has the right formula, but I'm not sure how to find the amplitude without more info. So I'm going to assume that amplitude = 1

Answer 48

nevermind i need to take chill pill lol

Answer 49

@jim_thompson5910 ok I have the y=Amplitude*tan (Period/Pi *(x- phase shift)) + Vertical Shift but I'm not sure how to move forward

Answer 50

@perl think you can help?

Answer 51

I think it's safe to assume that amplitude = 1 (unless there's other info that says otherwise)

Answer 52

what is the period in this case?

Answer 53

i would agree too^_^

Answer 54

I'm not sure..

Answer 55

notice how one root is 6pi, the next root over is 7pi

Answer 56

and how it repeats that branch

Answer 57

Right..

Answer 58

so it repeats every _____ units

Answer 59

1 unit?

Answer 60

no, not 1 unit

Answer 61

but 1 times ______

Answer 62

1 times pi?

Answer 63

or just pi, yes

Answer 64

it repeats every pi units

Answer 65

we can see that with the roots

Answer 66

so period = pi

Answer 67

ok amplitude is 1 and period is pi

Answer 68

and the phase shift would be i'm guessing positive

Answer 69

how would I bring all the information to make an equation

Answer 70

using a calculator in radian mode, what is tan(6pi) equal to?

Answer 71

ok let me quickly do that

Answer 72

I got a decimal number...

Answer 73

you aren't in radian mode

Answer 74

you should

Answer 75

i got 18.85

Answer 76

in radian mode

Answer 77

that's not correct

Answer 78

This graph cannot even exist it has several vertical asymtotes!!!

Answer 79

sorry guys Im lost where are we now?

Answer 80

I cant figure out how to do radian mode on my calculator..

Answer 81

@Seran why not
it is periodic
tan have infinite asymptotes

Answer 82

do you see mode button? press it then move it to radian then enter

Answer 83

I'm trying to find it but I don't think my caluclator has one

Answer 84

whats your calculator?

Answer 85

what kind of calc do you have?

Answer 86

if its not graphing cal TI 84 u might not have radian mode or degree

Answer 87

I can't seem to get it...

Answer 88

I keep getting the decimal @jim_thompson5910

Answer 89

Any suggestions?

Answer 90

what is your calculator model/type?

Answer 91

is it a texas instruments?

Answer 92

its ok you should get decimal but we don't know whether you are radian or degree mode

Answer 93

Ok texas insturment let me see if I have one I think I might hang in there guys sorry

Answer 94

what calculator were you using before?

Answer 95

nope I dont own one I was using a 10 digit scientific calculator

Answer 96

ok for now we can use wolfram alpha

http://www.wolframalpha.com/input/?i=tan(6pi)