Domain is what goes in, range is what comes out. Domain is x, range is y. Domain is left to right, range is bottom to top! Have an example of where you're confused? Answer from matt7259 on reddit.com
Reddit
reddit.com › r/learnmath › can someone please explain domain and range?
r/learnmath on Reddit: Can someone please explain Domain and Range?
February 12, 2022 -
I'm a bit confused about it, Funtions and Linear Relationships is just a bit hard for me to understand.
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Domain is what goes in, range is what comes out. Domain is x, range is y. Domain is left to right, range is bottom to top! Have an example of where you're confused?
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Oh. This is a fun one. I'm going to be difficult and rename some things to have them make more sense. Your input variable is now your control variable. Your output variable is now your response variable. In an f(x) = y scenario, x is control and y is response. I call it the control variable because it's the only part of the function that you can actually control. You choose what to input. This also works well for describing domain and range, because a king's domain is the part of the world that he controls. So going back to f(x) = y: x is our control, so our x values are our domain. Similarly, our response variables are our range of possible outputs. In our f(x) example: y is our response variable, so the values of y make up our range. There will be the odd instance like f(z) = k, but this shouldn't bother us because our control variable is z and our response variable is k. Wash, rinse, and repeat for our definitions and our simile to remember what's going on.
Quora
appliedmathematics.quora.com › What-is-the-range-in-math-x-or-y
What is the range in math, x or y? - Applied Mathematics - Quora
Answer (1 of 2): The definition ... horizontal and Y is rise or vertical. In a function, X does function as the domain and Y as the range. There is a such thing as an ......
notation - What is the mathematical symbol for range? - Mathematics Stack Exchange
In programming you use 1:5, which can be confused with the "such that" symbol in math. I don't know of other signs that might be less confusing than these two. $\endgroup$ ... This is a useful wikipedia reference. It is important to make the distinction between whether or not a particular endpoint is included. Use ( or ) to exclude and [ or ] to include. ... $$(a,b) \;\;\Rightarrow \;\; \{x... More on math.stackexchange.com
What's the proper mathematical notation to say Range of Y in Domain of X - Mathematics Stack Exchange
Notice that, given a function $f:X\to Y$, the expressions $f(x),x\in X$ and $f(A),A\subset X$ are both meaningful expressions (in your case, the argument of your functions can be a real number or a set of real numbers). For example, the range of $f$ is defined as $f(X)$. More on math.stackexchange.com
How to define the range of x for the euqation rather than a function containing x and y?
Please send the file link. See https://www.geogebra.org/m/nxdtp4qe I tried based on your image.Option : Curve command (basically using parametric equations in variable t) in Geogebra to control the lower and upper limits if we don't use function. Using t can help overcome some hard to convert expressions, but still need some algebraic manipulation. More on reddit.com
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October 30, 2021Domain and Range
The domain of a function is essentially what you are allowed to plug in for x to have the function still work. Take y = sqrt(x-5) for example. If imagine the equation, you cannot plug in anything less than 5 because if you do, then you will have a negative number, which we cannot take the square root of. Thus, the domain is all numbers equal to or greater than five. Range is the exact same principle, except it is all values we could possibly get for y. Take y = 2^x for example. We know that this function can never equal 0 or be negative, so we say that the range is all numbers greater than 0. For relations, you will have something along the lines of, for example f(x) = {2,4}, {4,8}, {5,11}. The domain of a relation is just all of its x values. So in this example, the domain is 2, 4 and 5, and no other numbers. Similarly, the range is all of the y values. In this example, the range would be 4, 8, and 11, and no other numbers. More on reddit.com
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May 17, 2018Videos
19:29
How to Find the Range of a Function - YouTube
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Domain and Range of y=-x - YouTube
05:53
Finding the Domain and Range From a Graph (Interval Notation) - ...
07:31
Key Features of Graphs Domain Range x & y intercepts - YouTube
01:34
Domain and Range of y=x^2+1 - YouTube
Domain is what goes in, range is what comes out. Domain is x, range is y. Domain is left to right, range is bottom to top! Have an example of where you're confused? Answer from matt7259 on reddit.com
Mathway
mathway.com › popular-problems › Algebra › 229539
Find the Domain and Range y=x | Mathway
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. ... The range is the set of all valid values.
Wikipedia
en.wikipedia.org › wiki › Range_of_a_function
Range of a function - Wikipedia
June 6, 2025 - The image of the function f is the subset of Y consisting of only those elements y of Y such that there is at least one x in X with f(x) = y. As the term "range" can have different meanings, it is considered a good practice to define it the first time it is used in a textbook or article.
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You are looking for either:
A closed interval:
represents the set of all real numbers greater or equal to 
and less or equal to 
.A integer interval:
represents all integers in between 
and 
. (
)
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This is a useful wikipedia reference.
It is important to make the distinction between whether or not a particular endpoint is included. Use ( or ) to exclude and [ or ] to include.
For instance
CK-12 Foundation
ck12.org › all subjects › algebra i › domain and range of a function › what is the range of the function y = |x|?
Flexi answers - What is the range of the function y = |x|? | CK-12 Foundation
September 11, 2025 - The range of a function is the set of all possible output values (y-values). For the absolute value function @$\begin{align*} y = |x| \end{align*}@$, the output is always non-negative, regardless of the input value. Therefore, the range of the function @$\begin{align*} y = |x| \end{align*}@$ ...
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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Expii
expii.com › t › domain-and-range-definition-finding-graphically-9974
Domain and Range - Definition & Finding Graphically - Expii
The domain of a function is all valid x-values, while the range is all the possible y-values of the function (in other words, the results of the possible x-values).
Indeed
indeed.com › career-advice › career-development › how-to-find-range-of-a-function
Finding the Range of a Function: 3 Methods (With Examples) | Indeed.com
1 week ago - Range: The range is a set of numbers that represent every potential value that y could have based on the function.Related: Math Skills: Definition, Examples and How To Develop Them · For x, in an ordered pair (x, y), it can only correspond ...
Lumen Learning
courses.lumenlearning.com › atd-sanjac-collegealgebra › chapter › find-domain-and-range-from-graphs
Find domain and range from graphs | 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 x-axis. The range is the set of possible output values, which are shown on the y-axis.
Study.com
study.com › courses › science courses › earth science: middle school
Graph Terminology | Axis, Range & Scale - Lesson | Study.com
August 27, 2014 - To find the domain is the difference between the highest and lowest value numbers of the Y-axis. In the other direction (horizontal), the range is the difference between the highest and lowest value numbers of the X-axis.
Math.net
math.net › home › algebra › function › domain and range
Domain and range
In other words, the domain is the set of values that we can plug into a function that will result in a real y-value; the range is the set of values that the function takes on as a result of plugging in an x value within the domain of the function.
Learner
learner.com › blog › how-to-find-the-range-in-math
How to Find the Range in Math
May 16, 2025 - The same rule applies to the function's highest y-coordinate, which is 11. It can also get bigger and bigger forever, in which case its lowest set point is not a real number but infinity. However, assuming that at point -6, the graph continues an infinite upward trajectory, then the range of the function can be expressed as f(x) ≥ -6. Also, if the graph continues on an infinite downward trajectory at point 11, the range can be expressed as f(x) 11. A relation comprises a set of ordered pairs having x and y coordinates.
Mathematics LibreTexts
math.libretexts.org › bookshelves › applied mathematics › calculus for business and social sciences corequisite workbook (dominguez, martinez, and saykali) › 4: functions
4.7: Domain and Range of a Function - Mathematics LibreTexts
July 18, 2022 - Identify two things about this ... the quadratic function opens upward. Now find the vertex. The y-value of the vertex ordered pair will show where the range begins....
Cuemath
cuemath.com › questions › what-is-the-range-of-the-function-y-x2
What is the range of the function y = x2?
For example, for the function f(x) = x2 on the domain of all real numbers (x ∈ R), the range is the non-negative real numbers, which can be written as f(x) ≥ 0 (or [0, ∞) using interval notation).
Khan Academy
khanacademy.org › math › algebra › x2f8bb11595b61c86:functions › x2f8bb11595b61c86:introduction-to-the-domain-and-range-of-a-function › v › range-of-a-function
How to find the range of a function (video)
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Expii
expii.com › t › finding-the-range-of-a-function-algebraically-4795
Finding the Range of a Function, Algebraically - Expii
How can values not be in the range? Values not included in range are values that are impossible given all the function's domain. They might be beyond an asymptote, or be values that the function simply skips.
CK-12 Foundation
flexbooks.ck12.org › cbook › ck-12-precalculus-concepts-2.0 › section › 1.4 › primary › lesson › domain-and-range-pcalc
Domain and Range
2 weeks ago - We cannot provide a description for this page right now
GeeksforGeeks
geeksforgeeks.org › mathematics › domain-and-range-of-function
Domain and Range | How to Find Domain and Range of a Function - GeeksforGeeks
Range: All real numbers except y = 0(the output 1/x never equals zero). ... Domain: All non-negative real numbers (y ≥ 0), because the square root of a non-negative number is also non-negative.
Published 1 week ago