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
We can observe that the graph extends horizontally from [latex]-5[/latex] to the right without bound, so the domain is [latex]\left[-5,\infty \right)[/latex]. The vertical extent of the graph is all range values [latex]5[/latex] and below, so the range is [latex]\left(\mathrm{-\infty },5\right][/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. Find the domain and range of the function [latex]f[/latex].
Mathway
mathway.com › Calculator › domain-range-calculator
Domain and Range Calculator | Mathway
The Domain and Range Calculator finds all possible x and y values for a given function.
(9th grade math) how do I find the domain/ range of this graph?
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Can someone write the domain and range of this graph? It’s a bit confusing to me.
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{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
[8th grade Pre-Ap math] How do I get the domain and range of these graphs?
For the first graph, the arrows indicate the the graph continues on towards infinity along the x direction. That’s why it’s domain is all real numbers. The range can be obtained by finding the maximum which in this case is at y=4, and we can see the graph continues downward towards -inf so the range is less than or equal to 4. For the second graph, the dot is located at point (-5,-1) and we can see an upward arrow extending towards +inf in both x and y directions. Since the dot is hollow, it means that the points x = -5 and y = -1 are not included in the domain and range hence the domain of x>-5 and range y>-1. For the third graph, just find where the edges of the oval line up. In this case there is an edge at (0,-0.5), one at (2.5,3), another at (5,-0.5) and a final one at (2.5,-4). This means that the domain is from 0 to 5 and the range is from -4 to 3. More on reddit.com
Videos
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 - Remember that the domain refers to all of the possible x-values, and the range refers to all of the possible y-values. Let’s start with finding the domain of this graph. Notice that the graph is a parabola that extends forever on both the left and right-side of zero.
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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 - 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. Find the domain and range of the function [latex]\text{}f\text{}[/latex] whose graph is shown in Figure 2-7.
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....
Khan Academy
khanacademy.org › math › algebra › x2f8bb11595b61c86:functions › x2f8bb11595b61c86:introduction-to-the-domain-and-range-of-a-function › e › domain_and_range_0.5
Domain and range from graph (practice)
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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
Mometrix
mometrix.com › home › how to find domain and range
How to Find Domain and Range (Video & Practice Questions)
October 21, 2025 - The range of a function is the ... outputs of a function. Typically, this will be represented by the letter \(y\) or \(f(x)\). The range is any number that you can get when you plug in any number for \(x\). Let’s look at a simple linear function: \(y = 4x + 3\). We are going to find the domain and range using just the equation, by looking at a graph, and by looking ...
Myascendmath
myascendmath.com › repository › objectiveFiles › 2 › 483 › objectiveSummary › 8385r.pdf pdf
Domain and Range - Ascend Math
To find the domain we need to determine the x-values on the graph. Notice that · the x-values of the graph go to negative infinity to the left and to positive infinity ... To find the range we need to determine the y-values on the graph.
Texas Gateway
texasgateway.org › resource › determining-domain-and-range-linear-functions
Determining the Domain and Range for Linear Functions | Texas Gateway
In this example, the range is {y ≥ -2}, since -2 is the lowest y-value and the arrow indicates the line continues upward. The boundary number of -2 is included, since the dot is solid. Click on the following link to go to the interactive Graphit page. Enter the following functions into the y(x) box. Click "Plot/Update" and view the resulting graphs. Record the domain and range for each function in your OnTRACK Algebra Journal.
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 - Values that are less than or equal ... the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis....
Khan Academy
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Khan Academy
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