how to write domain and range

How to write the domain and range of a function?

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The [a, b] is closed interval notation. It tells us the endpoint a and b are closed. The { } is called set notation. You don’t really need to worry about it for now, but we can write [a,b] as the set. { x is real number | a <= x <= b} When infinity is in the domain, we can’t use closed interval. It has to be opened. And open interval is written as (a,b). We can have one endpoint be opened and the other be closed. It would be [a, b) or (b, a]. In your post it should be [0, infinity) The second notation tells us that the domain is all real numbers, excluding 0. Generally you should be allowed to just write that not using set notation. Answer from Deleted User on reddit.com

Mathematics LibreTexts

math.libretexts.org › campus bookshelves › fresno city college › college algebra - fresno city college › 2: functions

2.2: Domain and Range - Mathematics LibreTexts

July 27, 2022 - In interval form, the domain of f is $(−\infty,\infty)$. ... Identify the input values. Identify any restrictions on the input. If there is a denominator in the function’s formula, set the denominator equal to zero and solve for x . If the function’s formula contains an even root, set the radicand greater than or equal to 0, and then solve. Write the domain in interval form, making sure to exclude any restricted values from the domain.

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r/mathematics on Reddit: How to write the domain and range of a function?

September 5, 2020 -

I've watched several videos, but they seemed to be doing different ways to write it. For example some domain would be; D [ 0, ∞] and some will be; Domain: { xER | x ≠ 0} Can anyone explain what's the difference between the two?

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The [a, b] is closed interval notation. It tells us the endpoint a and b are closed. The { } is called set notation. You don’t really need to worry about it for now, but we can write [a,b] as the set. { x is real number | a <= x <= b} When infinity is in the domain, we can’t use closed interval. It has to be opened. And open interval is written as (a,b). We can have one endpoint be opened and the other be closed. It would be [a, b) or (b, a]. In your post it should be [0, infinity) The second notation tells us that the domain is all real numbers, excluding 0. Generally you should be allowed to just write that not using set notation.

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These are different ways of writing sets. In the first, you say the D = [0,infinity] is the set of points between 0 and infinity (inclusive). The second, is saying that the domain D is the set of points x which are real numbers such that x does not equal zero. To break it down, the round E (in Latex it is \in) symbol means "in", R is the set of real numbers, the vertical line means such that. Both methods of defining the domain are equally valid, but the second one gives you a lot more control to write precise statements. For example, you could write D = {x \in R | sin(x) = 0.5}. This is the set of x in the real numbers that satisfy the equation sin(x) = 0.5. Hope this helps.

Discussions

notation - How to denote domain and range - Mathematics Stack Exchange

Bring the best of human thought and AI automation together at your work. Explore Stack Internal ... Is there a common way to denote the domain or range of a function? More on math.stackexchange.com

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June 11, 2014

functions - How to represent domain, and range? - Mathematics Stack Exchange

1 Is enough to evaluate the limits at the edges of the domain to determine the range of $y = 5/(x^3+2)$? ... 1980s comedy horror movie where one male mate tells another, "Girlfriends come and go, but mates are forever!" More on math.stackexchange.com

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September 4, 2016

How to write the domain and range of a function?

The [a, b] is closed interval notation. It tells us the endpoint a and b are closed. The { } is called set notation. You don’t really need to worry about it for now, but we can write [a,b] as the set. { x is real number | a <= x <= b} When infinity is in the domain, we can’t use closed interval. It has to be opened. And open interval is written as (a,b). We can have one endpoint be opened and the other be closed. It would be [a, b) or (b, a]. In your post it should be [0, infinity) The second notation tells us that the domain is all real numbers, excluding 0. Generally you should be allowed to just write that not using set notation. More on reddit.com

r/mathematics

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September 5, 2020

How to write domain and range?

If you have a graph of a function, then the domain is the set of x-values that have a filled in point above them (edit: or below them) somewhere on the graph. Here's a random picture I found on google: https://i.imgur.com/b7NFVea.png In this case, the domain of the function is all numbers between -2 and 3, including -2 but not including 3. You would write this as D = {x ∈ R | -2 ≤ x < 3}. You would read this as "x in the reals such that -2 is less than or equal to x is less than 3". In particular, notice that 0 is included in the domain because it has a filled in point (at y = 10), even though it also has an empty point at y = 20. But I’m seeing f(x) being used when do you use this? You can use this when you want to name a function or give it a formula. f is the name of the function and f(x) is the output of the function when given input x. For example, I might write f(x) = x2 which says that f is a function which, when given input x, produces output x2. So that means then the input is 3, the output is 9. We may write f(3) = 9. More on reddit.com

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December 5, 2018

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