There are two things you want to avoid in the domain of .

1)

2)

But so this shouldn't be a problem. However if then so the domain is .

Edit Here is a "picture" of as asked in the comment. is basically everything except the points that are on the red line. Note that this picture only represents a little part of since it is an unbounded domain (e.g. $(10^{2137612},\pi)$ belongs to but is not on the picture).

Answer from Surb on Stack Exchange
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Lumen Learning
courses.lumenlearning.com › waymakercollegealgebra › chapter › find-domain-and-range-from-a-graph
Determine Domain and Range from a Graph | College Algebra
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the [latex]x[/latex]-axis. The range is the set of possible output values, which are shown ...
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Pressbooks
ecampusontario.pressbooks.pub › math3080prep › chapter › 2-4-finding-domain-and-range-from-graphs
2.4 Finding Domain and Range from Graphs – Math 3080 Preparation
February 1, 2022 - Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values. See Figure 2-6. ... We can observe that the graph extends horizontally from [latex]\text{}-5\text{}[/latex] to the right without bound, so the domain is [latex]\text{}\left[-5,\infty \right)\text{}\text{}[/latex]. The vertical extent of the graph is all range values [latex]\text{}5\text{}[/latex] and below, so the range is [latex]\text{}\left(\mathrm{-\infty },5\right]\text{}[/latex]. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.
Discussions

Can someone write the domain and range of this graph? It’s a bit confusing to me.
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December 12, 2022
{11th Grade math} how would I graph this and how to find domain and range
One method of guessing a Table of Values for a function starting at the vertex of a function. Funnily enough, just knowing this is what tells you the Range of the function, can you guess why? More on reddit.com
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How do you find the domain and range from a graph?
Domain is all the x axis values below or above the graph. Range is the y axis values left or right of the graph. More on reddit.com
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March 31, 2025
(9th grade math) how do I find the domain/ range of this graph?
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Mathematics LibreTexts
math.libretexts.org › bookshelves › algebra › college algebra 1e (openstax) › 3: functions
3.3: Domain and Range - Mathematics LibreTexts
October 6, 2021 - We can observe that the graph extends horizontally from −5 to the right without bound, so the domain is \(\left[−5,∞\right)\). The vertical extent of the graph is all range values 5 and below, so the range is \(\left(−∞,5\right]\). Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range. Example \(\PageIndex{6A}\): Finding Domain and Range from a Graph
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Quora
quora.com › How-do-you-find-the-domain-of-a-function-algebraically
How to find the domain of a function algebraically - Quora
Answer (1 of 3): Domain is not the same as Domain. A) Domain is the set (say Da as subset R, their members are x) on which a formula F(x) is applicable. An assesment of (Da, F) specifies one function fa(x) B) But we can have im mind other function fb specified by (Db, F) where Db is subset od Da...
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Cuemath
cuemath.com › calculus › domain-and-range-of-a-function
Domain and Range - From Graph | How to Find Domain and Range of a Function?
Example 2: Using the same process ... of a function respectively. To find the domain of a function f(x), think for what values of x it is defined....
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Mathematics LibreTexts
math.libretexts.org › bookshelves › algebra › algebra and trigonometry 1e (openstax) › 3: functions
3.2: Domain and Range - Mathematics LibreTexts
December 26, 2024 - We can observe that the graph extends horizontally from −5 to the right without bound, so the domain is \(\left[−5,∞\right)\). The vertical extent of the graph is all range values 5 and below, so the range is \(\left(−∞,5\right]\). Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range. Example \(\PageIndex{6A}\): Finding Domain and Range from a Graph
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Quora
quora.com › How-do-you-find-the-domain-and-range-of-functions
How to find the domain and range of functions - Quora
Answer (1 of 28): Part 1 of 3:Finding the Domain of a Function 1. Determine the type of function you’re working with. The domain of the function is all of the x-values (horizontal axis) that will give you a valid y-value output. The function ...
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Study.com
study.com › test prep courses › nc eoc assessment - math i study guide and test prep
How to Find the Domain of a Graph | Overview & Examples | Study.com
On a graph, you can determine the domain of a function by looking at the input values (typically labeled as x) that are included in the function. If the function describes a real quantitative relationship, you must also consider which input ...
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Mathway
mathway.com › Calculator › find-the-domain
Find the Domain Calculator
The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly.
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Reddit
reddit.com › r/askmath › can someone write the domain and range of this graph? it’s a bit confusing to me.
r/askmath on Reddit: Can someone write the domain and range of this graph? It’s a bit confusing to me.
December 12, 2022 - I would have said Df is -2, 6 as the end of the arrow seems like a valid value to me. (?) Continue this thread ... Domain: all real numbers except -1 and 4. Range: all real numbers except the interval [-1, 2]. ... No, no I don't think it is understeering, unless I really cannot read this graph. ... How do you find the central angle of a curve if you're only given a radius!
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University of Kentucky
ms.uky.edu › ma109 › studentguide › sec-domaingraph.html
Domain from a Graph
Remember that when we are looking at a graph of a function, the inputs are the \(x\)-values. So, when we are finding the domain of a graph, we are looking for all of the \(x\)-values that get overed on the graph. There are two metaphors you might find helpful. Imagine rain going from the graph to the \(x\)-axis.
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Mashup Math
mashupmath.com › blog › how-to-find-domain-and-range-of-a-graph
How to Find Domain and Range of a Graph (Step-by-Step) — Mashup Math
April 9, 2024 - Figure 06: How to find domain and range of a graph starts with understanding interval notation. In algebra, the domain of a function refers to the set of all possible x-values for that function.
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Cool Math
coolmath.com › algebra › 15-functions › 06-finding-the-domain-01
Finding the Domain of a Function
OK, so suppose we don't have the graph of a function to look at like in the last section... ... So, we'll just be doing domains on these -- which is really where the action is anyway. ... Sometimes, you can't find the domain with a quick look.
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CK-12 Foundation
ck12.org › all subjects › cbse math › domain and range of a function › how do you find the domain of a graph?
Flexi answers - How do you find the domain of a graph? | CK-12 Foundation
September 11, 2025 - To find the domain of a graph, follow these steps: Identify the x-values: Look at the graph and determine the range of x-values that the graph covers. Check for restrictions: Consider any restrictions, such as vertical asymptotes or points where the function is undefined (like division by zero ...
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Krista King Math
kristakingmath.com › blog › domain-and-range-from-a-graph
How to get the domain and range from the graph of a function — Krista King Math | Online math help
October 27, 2020 - The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down ...
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Wikihow
wikihow.com › education and communications › studying › mathematics › 7 ways to find the domain of a function - wikihow
7 Ways to Find the Domain of a Function - wikiHow
For example, if your function is ... also define the domain of a function by looking at a graph. Look at which values are represented or excluded on the x-axis to help you find the domain....
Published   July 18, 2024
Views   1K
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CK-12 Foundation
ck12.org › all subjects › cbse math › domain and range of a function › how do you find the domain of a graph function?
Flexi answers - How do you find the domain of a graph function? | CK-12 Foundation
September 11, 2025 - To find the domain of a graph function, follow these steps: Identify the x-values: Look at the graph and determine the range of x-values that the function covers. Check for restrictions: Note any points where the function is undefined, such as holes, vertical asymptotes, or endpoints.
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Leeversfoods
shop.leeversfoods.com › index.php › 71SVm3 › 423521 › how-to-find-a-domain-of-a-graph.pdf
shop.leeversfoods.com - How To Find A Domain Of A Graph
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