For the Domain Hold a ruler, or some similar object, vertically on the left side of the graph. Now slowly move it to the right and mark down the intervals of x where the ruler would be crossing the graph. In this case, the graph heads to the left forever, so we start by thinking of x as -∞. As we move right, the graph is there until we hit x=-1 where there are those open circles indicating that no point exists there. So our first interval is (-∞, -1). As we continue, the ruler intersects the graph from just beyond -1 until we get to more open circles at x=4. So that interval is (-1, 4). After that the graph continues forever to the right which we write as ∞. So that interval is (4, ∞). Putting them together, we get... (-∞, -1) ∪ (-1, 4) ∪ (4, ∞) So the domain is every value of x from -∞ to ∞ except for -1 and 4. For the Range Do the same thing but in the vertical direction. Start with the ruler held horizontally at the bottom of the graph and move up while keeping track of the intervals of y where the ruler crosses the graph. Answer from Bascna on reddit.com
🌐
Lumen Learning
courses.lumenlearning.com › waymakercollegealgebra › chapter › find-domain-and-range-from-a-graph
Determine Domain and Range from a Graph | College Algebra
The output quantity is “thousands of barrels of oil per day,” which we represent with the variable [latex]b[/latex] for barrels. The graph may continue to the left and right beyond what is viewed, but based on the portion of the graph that is visible, we can determine the domain as [latex]1973\le t\le 2008[/latex] and the range as approximately [latex]180\le b\le 2010[/latex].
🌐
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 - As we continue, the ruler intersects ... is (4, ∞). Putting them together, we get... ... So the domain is every value of x from -∞ to ∞ except for -1 and 4....
Discussions

Can someone write the domain and range of this graph? It’s a bit confusing to me.
Hi u/Acubeisapolyhedron , Please read the following message. You are required to explain your post and show your efforts. (Rule 1) If you haven't already done so, please add a comment below explaining your attempt(s) to solve this and what you need help with specifically. See the sidebar for advice on 'how to ask a good question'. Don't just say you "need help" with your problem. This is a reminder for all users. Failure to follow the rules will result in the post being removed. Thank you for understanding. I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns. More on reddit.com
🌐 r/askmath
13
4
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
🌐 r/HomeworkHelp
40
17
December 22, 2022
(9th grade math) how do I find the domain/ range of this graph?
Off-topic Comments Section All top-level comments have to be an answer or follow-up question to the post. All sidetracks should be directed to this comment thread as per Rule 9. OP and Valued/Notable Contributors can close this post by using /lock command I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns. More on reddit.com
🌐 r/HomeworkHelp
6
1
March 25, 2021
How do you find range and domain in general?
Domain is the set of possible X values in a function. Range is the set of possible Y values in a function. To find the domain, set the denominator equal to zero and then solve for X. Whatever X is is what CANNOT be in the domain. For example: 1/x, the domain is all real numbers except 0 because the denominator cannot be equal to zero. (Cannot divide by zero.) And easier, if there is no denominator and no square roots or anything like that, you know the domain is all real numbers. The range is easier to decipher by graphing. But it’s all possible Y values of a function More on reddit.com
🌐 r/learnmath
18
2
November 1, 2021
🌐
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 - 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...
🌐
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
🌐
Quora
quora.com › How-do-I-find-the-domain-and-range-of-a-graph
How to find the domain and range of a graph - Quora
Answer (1 of 5): Domain is the x numbers that you can put in the equation that work. And the range is the range of Y values that you can get as a result for putting in any x. Example 1. So a line will usually have any x and any y as a result. Unless the line is strait up and down y=5 because sl...
🌐
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 - Look at the furthest point down on the graph or the bottom of the graph. The ???y???-value at this point is ???y=0???. Now look at how far up the graph goes or the top of the graph.
🌐
Texas Gateway
texasgateway.org › resource › determining-domain-and-range-linear-functions
Determining the Domain and Range for Linear Functions | Texas Gateway
Given a verbal statement or a graph of a linear function, determine its domain and range. ... To determine the domain of a given situation, identify all possible x-values, or values of the independent variable.
Find elsewhere
🌐
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.
🌐
Course Sidekick
coursesidekick.com › mathematics › study-guides › ivytech-collegealgebra › find-domain-and-range-from-graphs
Find domain and range from graphs | College Algebra |
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 6. ... \left(\mathrm{-\infty },5\right](−∞,5]. 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.
🌐
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....
🌐
YouTube
youtube.com › the organic chemistry tutor
Domain and Range of a Function From a Graph - YouTube
This precalculus video tutorial explains how to find the domain and range of a function given its graph in interval notation. The domain represents all of th...
Published   February 9, 2018
Views   290K
🌐
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 08: Find the domain and range of the graph of y=x^2. Remember that the domain refers to all of the possible x-values, and the range refers to all of the possible y-values.
Address   1700 Lincoln Street Denver, CO, 80203 United States
🌐
Leeversfoods
shop.leeversfoods.com › index.php › 43BXmS › 923508 › how_to_find_domain_on_a_graph.pdf
shop.leeversfoods.com - How To Find Domain On A Graph
Help improve security on the web ... and some page content to Google. Privacy policy · Turn on enhanced protection to get Chrome's highest level of security ... This server could not prove that it is shop.leeversfoods.com; its security certificate is from ...
🌐
YouTube
youtube.com › watch
Find the Domain and Range from a Graph - YouTube
Long over due. This video contains three examples of how to find the domain and range from a graph. Evaluate a Function from a Graphhttp://youtu.be/1BfRY7jcj...
Published   January 8, 2013
🌐
Wikihow
wikihow.com › education and communications › studying › mathematics › how to find the domain and range of a function: 14 steps
How to Find the Domain and Range of a Function: 14 Steps
November 3, 2024 - Stated another way, a quadratic equation encompasses all of the x-values on the number line, making its domain R (the symbol for all real numbers).[4] X Research source · To get an idea of the function choose any x-value and plug it into the function. Solving the function with this x-value will output a y-value. These x- and y-values are a coordinate (x, y) of the graph of the function.
🌐
Mometrix
mometrix.com › home › how to find domain and range
How to Find Domain and Range (Video & Practice Questions)
October 21, 2025 - In this case, the red line on the graph shows that any value can be plugged in for x, therefore the domain is all real numbers. To find the range, look for all possible outputs of the function, or all values for y that appear on the graph.
🌐
Quora
quora.com › How-do-you-write-the-domain-and-range-of-a-graph
How to write the domain and range of a graph - Quora
Answer (1 of 2): How you write the domain of a function depends on the type function given. The domain refers to x-values for which the function is defined. The range refers the maximum and minimum y-values. When the function is given as ordered pairs, say: {(-1,1), (0,0),(1,1),(2,4)} The do...
🌐
IntMath
intmath.com › home › introduction to geometry › 4a. domain and range of a function
Domain and Range of a Function
Graph of `f(x)=sqrt(x+2)/(x^2-9)`. ... In general, we determine the domain by looking for those values of the independent variable (usually x) which we are allowed to use. (We have to avoid 0 on the bottom of a fraction, or negative values under the square root sign).