Dec 9, 2019 · The domain of a function is a set, thus whatever notation you use, it should specify some set. Beyond that, there are some conventions about how one specifies a set, or how one might want …

Oct 28, 2021 · For the domain of $|x|,$ some students write $\ {x\;|\;x \in \mathbb R\}$ instead of $\mathbb R.$ Are they correct? What are other ways people use set notation to write domains and …

Dec 8, 2021 · The two standard symbols for "Set minus" are $\setminus$ and $-$ (the first is \setminus in LateX.) So you could say $\mathbb {R} \setminus \ {0\}$, this would probably be the simplest and …

Dec 1, 2016 · In all questions of this form, you have to first: identify the domain and range, and second: write it in set-builder notation. You can think about finding the range by imagining horizontal lines and …

Aug 27, 2017 · I will assume that the function is a real-valued function of a real variable, meaning that its domain and codomain are subsets of the real numbers. This is a rational function, meaning that it …

May 27, 2025 · What you can do is to write formulas for the domain of the function resulting from each of those operations, expressed in terms of the domains of the input of the operation.

How do you find the domain and range of a function that has multiple non-connected lines? Such as, $ f (x)=\sqrt {x^2-1}$. Its graph looks like this: I'm wanting how you would write this with a set ...

Aug 10, 2018 · The domain of a function is the set of values which the function can take as input. You're probably tasked with finding the maximal domain in $\mathbb {R}^2$. So you have to ask yourself, …

I know that you alternatively mention the domain and range in the "mapping" notation of the function, e.g.: $$ f: \cal {D} \to \cal {R} $$ But I'm really just looking for a way to explicitly indicate the …

At my school we are going over rational functions and discontinuities, and we often are asked to find the domain/range of a function. Sometimes the range feels quite lengthy, however, which is why ...