Question

would "YOU" like to help me please
yes "YOU" :(

Answer 1

Is there a given equation?

Answer 2

\[0x ^{7}+ 2x ^{6} + 0x ^{5} - x ^{4} - x ^{3} - 9x ^{2} -9x - 7 \]

Answer 3

i have to find "domain and range"
"intervals on which it is increasing" ( -.885 , -.509) , ( 1.106 , infinity) ( i find this i don't know right or not )
and "intervals which it is decreasing" ( infinity , -.885),( -.509 , 1.106) ( same with this one )
and "all real zeroes"
i don't know where to start this
because i know either way i'm gonna do it wrong
and if you think better way by changing sign like negative to positive or positive we can do that for examle if you think -9x ---> 9x is better so we can try that

Answer 4

so there are 0's in front of the x's?

Answer 5

are you allowed to graph the equation? That seems like the easiest way to me...

Answer 6

yes basically they should cancel out
i just wrote to keep on line about degrees

Answer 7

okay

Answer 8

yes i can do
i already did so zeros are in decimal

Answer 9

okay so the "all real zeroes" part just means to find all the places where the function crosses the x axis

Answer 10

or where y equals zero

Answer 11

yes so on the graph i have two function
but i suppose to have 6
after 0'xs cancel out highest degree is 6 and leading coefficient is 2
have to have 6 solutions
because graph doesn't show imaginary solution so i have to find that

Answer 12

two solution ***** ( two function )

Answer 13

it only asked for the real solutions though

Answer 14

aummmmm :O: O
why i didn't think about that :/ ?

Answer 15

ok so that's mean my real zeroes are 9/5
and -27/20

Answer 16

Yay! Thank you for allowing me to attempt to help you :) Hope you have a terrific rest of your day/night!

Answer 17

ohh ok thanks

Answer 18

can you help me to find domain and range

Answer 19

so its mean i have to find imaginary zeroes too

Answer 20

@jim_thompson5910 @myininaya @thomaster @jdoe0001 @nikato @amistre64

Answer 21

@AccessDenied @Kainui @Compassionate

Answer 22

What Math level are you in? Aka are you studying calculus?

Answer 23

no its MATH 3

Answer 24

lol I understood that don't worry. Ummm well figuring out the domain is easy without calculus I don't know exactly how you would solve for the range without calculus...but you seemed to be able to figure out when the function is increasing or decreasing right? Mind telling me how you did so?

Answer 25

what ???

Answer 26

i'm dead
are you talking about intervals

Answer 27

yes! how did you find the intervals where the function was increasing or decreasing?

Answer 28

i post that at the top
can you see that are they right

Answer 29

idk whether they are right unfortunately, I haven't solved the problem...BUT if you do have the correct intervals at which the function is increasing and decreasing the problem becomes easy...that's why I am asking you how you solved for the intervals. Honestly you actually don't have to tell me how you did it, but we need to be able to trust your answer. I forgot how to find the intervals algebraically, so if you need help with solving for the intervals, I can't really help you. But again we need the intervals to find the range. Does this make sense?

Answer 30

I guess what I am really telling you is that I can help you solve the problem given that your solution to finding the intervals is correct.

Answer 31

how about we just believe that your answers for the intervals is correct? Would that be alright?

Answer 32

ahhh I see, well while I can't help you with finding the intervals, would you like to know how to solve the problem once you have the intervals?

Answer 33

yep sure why not
thanks

Answer 34

ok so the function you have posted is really a polynomial function right?

Answer 35

yep right

Answer 36

(BTW we are going to solve for the range first, because it's harder) so all polynomial functions either go off into negative or positive infinity, when x is positive or negative infinity, right?

Answer 37

yep

Answer 38

There is a way to figure out whether when x is at negative/positive infinity, the function is at negative or positive infinity. Do you happen to know how to figure this out?

Answer 39

after graph polynomial we can see that is that negative or positive infinity

Answer 40

cool yes, one method is to graph it and analyze the graph however, there is another solution and that it to look at the highest order term. If the term is odd that automatically means that the range will be (-infinity,infinity). That's because the function will have to look something like this:or this where the amount of "mounds" depends on the magnitude of the highest ordered term. Does this make sense?