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
Mathematics LibreTexts
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3.3: Domain and Range - Mathematics LibreTexts
October 6, 2021 - 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.
Reddit
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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.
Videos
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Lumen Learning
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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 ...
Cuemath
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Domain and Range - From Graph | How to Find Domain and Range of a Function?
Domain: The domain of the function is the set ℝ. Range: The exponential function always results in positive real values. Look at the graph of the sine function and cosine function.
Mathematics LibreTexts
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2.2: Domain and Range - Mathematics LibreTexts
July 27, 2022 - Values that are less than or equal ... 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....
Khan Academy
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Domain and range from graph (practice)
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IntMath
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Domain and Range of a Function
Simple explanation for domain and range. We learn the domain of a function is the set of possible x-values and the range is the resulting set of y-values.
Math.net
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Domain and range
In mathematical terms, given a function f(x), the values that f(x) can take on constitute the range of the function, while all the possible x values constitute the domain. Consider the function f(x) = x2. ... There are no x-values that will result in the function being undefined and matter ...
Texas Gateway
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Determining the Domain and Range for Linear Functions | Texas Gateway
Given a real-world situation that can be modeled by a linear function or a graph of a linear function, determine and represent a reasonable domain and range of the linear function by using inequalities. ... A(2)(A) determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real‐world situations, both continuous and discrete; and represent domain and range using inequalities
Mashup Math
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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 ...
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Study.com
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Domain & Range of a Function | Definition, Equation & Examples - Lesson | Study.com
January 11, 2013 - Much emphasis was placed on piecewise functions as their domains and ranges are unique and ubiquitous throughout mathematics. Several sections were devoted to explaining the domain and range calculations given both graphs without functions defined and equations of functions without graphs.
Toronto Metropolitan University
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3.2. Domain and Range – Mathematics for Public and Occupational Health Professionals
Likewise, since range is the set of possible output values, the range of a graph we can see from the possible values along the vertical axis of the graph. Be careful – if the graph continues beyond the window on which we can see the graph, the domain and range might be larger than the values we can see.
UNM
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Domain and Range
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Centennial College
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Domain and Range of Functions - Math help from the Learning Centre - Library Guides at Centennial College
The domain is where the function lies horizontally and the range is where the function lies vertically. In the graph above, notice how there are no values in the domain less than -5 on the left side of the graph. On the right side, the graph keeps going. If we call this graph \(f(x)\), the ...
Expii
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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).
Varsity Tutors
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Domain and Range
Domain is about inputs; range is about outputs.