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sparrow2
 one year ago
if x is a variable then does it have infinite number of values?
sparrow2
 one year ago
if x is a variable then does it have infinite number of values?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Depends on the context, for mathematics then mainly yes, for real world/physics applications there are limits.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is the question im assigned: Does the domain change uner the following transformation of ylog x? Explain. (vert stretch by 5 and horiz. stretch by 2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0**and its y=log x . sorry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0domain changes from the horizontal stretch, increases the x values that maps to y values

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0by stretch by 2 im guessing you mean expand and not divide by 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah its expanding horizontally by a factor of 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh wait sorry as a log graph it won't change the domain

Study_together
 one year ago
Best ResponseYou've already chosen the best response.0It depends but I still think its values are infinite. Please click on the best response if you like the post.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what if its limited to an equation with limited solutions etc.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then it becomes limited

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0Define \(x\) as the variable that represents solution to the quadratic equation \[\large x^22x+1=0\] how many values does \(x\) have ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Factorised into (X1)^2=0, 1 solution

sparrow2
 one year ago
Best ResponseYou've already chosen the best response.0x=1 is solution and it is "uknown"

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1if x is a variable then does it have infinite number of values? YES, I would say. And here are some examples of why I say this.  Take any logarithmic function: \(\large\color{black}{ \displaystyle y=\log(x+a)+c }\) (with any side shift a AND any vertical shift c) Note: The domain is not impacted by C (and nor is the range since it goes infinitely up and down). Now, the log is only defined in this case, if \(\large\color{black}{ \displaystyle x+a>0 }\), and thus: \(\large\color{black}{ \displaystyle x>a }\), and knowing that no restriction on how large (x+a) can get your domain is: (a, +∞) So if x is over the interval (a, +∞), then (regardless of the value of a), x takes on infinite number of values.  Obviously, any polynomial is known to be continuous over interval (∞,+∞). This way for any polynomial function \(\large f(x)\), you get that the domain of y=f(x) is (∞,+∞) So, here again x takes on infinite number of values.  Consider any function!! and you will either get that the domain is `(∞, +∞)` OR `(s, +∞)` OR `(∞, s)` (where s is some number)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1So unless you are taking about a function that has a restriction of a≥x≥b, or some sort of limitation fron x to go infinitely to the left or right, (then) x takes on an infinite number of values.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Usually though, if you are taking a limit of the function, such that: \(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~a}f(x)}\) \(\Huge\color{blue}(\) or, \(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~a^+}f(x)}\) or, \(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~a^}f(x)}\) \(\Huge\color{blue})\) then, it would have a value, unless you're going into an undefined direction like: \(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~0^+}\log_{a}(x)}\) \(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~a}\frac{c}{xa}}\) (for leftsided, rightsided or two sides limit DNE) \(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~\infty}ax^{b}}\) (for b>0) (or other examples where you meet asymptotes or just an infinite growth of x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I was just answering the first main question, unless a variable is defined as being part of a function only then it would be infinite, but if it is an unknown in an equation when it can be solved for then it is limited to the value of those solutions.
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