the following is a problem in the book.
f(x)=\left\{\begin{array}{cc}\frac{1}{2}(x+1),&\mbox{ if x is odd}
\\\frac{1}{2}x, & \mbox{ if x is even}\end{array}\right
the solutions that's given is This function is onto because, for any y\epsilonZ, g(2y)=y. It is not one-to-one because...
OMG thank you the light bulb finally went on...:biggrin: I'm soooo sorry for being a complete idiot, but thank you so much for helping... i understand it now
i'm talking about any relation. i understand what you are saying about the definitions to the 3 properties, but for instance the one problem i had posted a few posts ago
S = {1,2,3,4,5,6,7,8} and x R y means that x - y is odd
i realize that xRx isn't going to get me an odd number so i...
ok i see how that work, now if i use what i stated before
S={1, 2, 3, 4, 5, 6}
in what order would i plug in the values to x, y, and z?
would i just go from one to the other meaning
1 would be x
2 would be y
3 would be z
this is where I'm running into the confusion for some reason...
ok let me ask this, I'm completely making this up so that i can get this... i mean what you posted helps, anyway...
if i have something like the following and i think this is where my misunderstanding of this is, because I've read the definitions of reflexive, symmetric, and transitive over...
ok I'm still having problems with this and i know I'm making it way harder then it needs to be
for instance here is a problem that's in the book and the solutions manual with the answer
S is the set of all real numbers and xRy means that x^2=y^2
The solution manual says that it's...
ok i think i understand that better. it would be symmetric because i can get an odd number, but reflexive and transitive don't always yield an odd number
for the two problems i don't have to determine if it's a nonempty intersction, i have to...
Determine which of the reflexive, symmetric, and transitive properties are satisfied by the given relation R defined on set S, and state whether R is an equivalence relation on S
S =...
ok i don't know why i can't grasp this and i feel so stupid...
here's an example in the book which i do get...
Let S denote the set of all nonempty subsets of {1, 2, 3, 4, 5}, and define a R b to mean that a \cap b not equal to \emptyset. The R is clearly reflexive and symmetric...
oh sorry, you mean..
a polynomial in one variable is any expression of the type
[SIZE="2"]a[SIZE="1"]n[SIZE="2"]X^[SIZE="1"]n + [SIZE="2"]a[SIZE="1"]n-1[SIZE="2"]X^[SIZE="1"]n-1 + ... + [SIZE="2"]a[SIZE="1"]2[SIZE="2"]X^[SIZE="1"]2 + [SIZE="2"]a[SIZE="1"]1[SIZE="2"]X +...
hi everyone new to the forum here.
here's my problem. I have to tell whether a given expression is a polynomial in x or not, and if so give its degree.
I've figured out 4 of the 5 but I'm stuck on the third one
2^x + 3x
since 2 is being raised to x and 3 is being multiplied by x I'm...