Find the domain of the function and express the answer in interval notation: f(x)=3x-9
(infinity,-infinity) as the answer
really?
\[(-\infty,\infty)\]
i really dont know how to do this, i just learn how to figure it out when there is a square root, and i can figure it when it is dividing. I havent had a math class since 2005. so its taken me some time to figure this out. im sorry
in interval notation the smaller number goes to the left
didnt you just write the same answer as me? i just used words
no
\[(-\infty,\infty)\]
why does the smaller number go to the left? is it because the negative is on the left with the graph for x-values?
we list the smaller number first because it comes before the bigger number
you know its like writing a set when we write the natural numbers we start with the smaller one N={1,2,3,...} because we want to show a pattern (-inf,inf) is just a set of numbers as well
sad part is, i know the smaller number is first then the bigger number, thats logic and i should of remember that. i just dont understand how to find the domain and write the answer in interval notation.
anything in this form \[f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+ \cdot \cdot \cdot +a_1x+a_0\] is called a polynomial and a polynomial is defined for all real numbers and therefore the domain is all real numbers using interval notation we say: \[(-\infty,\infty)\]
all those a's are just constants by the way
all those should be positive integer exponents
or neutral integer exponents lol
i know the form, my teacher showed it to because i told him i didnt understand this. i can figure this out when dividing and when there is a squareroot.
n just needs to be a non-negative integer
right
positive or neutral
yes
tell your teacher that all these problems are bull hockey
a function is supposed to come with the domain as part of the definition.
questions that say "find the domain of f" are so much non-sense. if it said "find the largest possible set on which f can act" then it might make some sense
just thought i would mention it
yeah i dont think im going to say that to my college teacher...
if they are any good they would agree with you ;)
i understand everything else that he throws at me, but this i dont get
thanks for the help, i think the these 4 questions i asked about these with help me finish my homework.
no i was kidding when i said "tell your teacher..." when you see a function and are asked for the domain, start by thinking "all real numbers"
like "innocent until proven guilty"
lol
then you usually only have to worry about two things, at least until you get further 1) no zeros in the denominator 2) no negative numbers inside a radical
ok thanks, i kinda figured that you were kidding, plus i only have to put with this class for 7 more day...lol
7 more days then freedom!
only fret about those things. if you see no radicals, no denominators, say "all real numbers" and have a nice day. that is it
if you see a denominator, make sure it is NOT zero if you see a radical, make sure what is inside is greater than or equal to zero. finis
you have a nice day too
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