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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4.7: Domain and Range of a Function - Mathematics LibreTexts
July 18, 2022 - The range of any polynomial of degree 1 is all real numbers or written in interval notation, is: \(R:(−\infty , \infty )\). Find the domain and range of the following function:
Varsity Tutors
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Domain and Range
1 question remaining. ... A car travels at a speed $s(t) = 20t + 5$ kilometers per hour over the interval 0 ≤ t ≤ 3 hours. ... Click to reveal the detailed solution for this question exercise. ... Consider the function $f(x) = \sqrt{x - 2}$. Determine the domain.
Can someone please explain Domain and Range?
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? More on reddit.com
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February 12, 2022Domain and Range for a function f(x)
Change f(x) to y and it should work More on reddit.com
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September 17, 2021Confused on how to find the function from domain and range.
Like the other comment said: there's infinitely many such functions. One very simple example is a basic linear interpolation: the function f(x) = (11-4) / (11-1) (x-1)+4 works for your example. More generally the function f(x) = (d-c)/(b-a) (x-a)+c maps the interval [a,b] to [c,d] (it also does (a,b) to (c,d))
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August 22, 2023[University] [General maths] Could someone explain what the domain and range of a function is?
A function is a device where you give it an object and it gives you some other object back. The collection of objects that you're allowed to give it, or the objects that it can handle, is called the domain. Anything that the function can accept as an input is a member of this collection. The type of objects that the function gives you back is called the codomain. You should think of codomain as a collection of objects that give the "form" that an output can take. Not every object in the codomain will necessarily be an output of the function, these are only the various outputs that you could get. The collection of outputs that you actually do get back for some input is called the range (or image) of the function. The range is therefore a subcollection of the codomain. You'll notice I haven't said anything about numbers so far, and that's because the idea of functions isn't limited to sets of numbers. If you've done any programming, you'll recall that functions can take any sort of input and give back any sort of output, like numbers, lists, tuples, other functions, or user created types. In the context of your typical algebra course, you'll look at functions like f(x) = 2/(x-1) + 3. Here, the implication is that the domain is some subset of the real numbers, and you are often asked to determine exactly what subset it is, i.e. determine which numbers the function cannot accept as an input. The codomain is also implied to be the real numbers, and so that range is some subset of the real numbers. Again, you're often asked to determine what subset this is. For the function f I wrote above, the domain would be all real numbers except 1, since using 1 as an input would create a division by 0. The range will be all real numbers except 3, since the fraction above will never be zero. Lastly, I'll stress that the typical algebra course's mentality of first giving you a function defined by a formula and then asking you to find the domain and codomain/range is often (but not always) backwards. In many cases, you'll want to create a function for which you know exactly what inputs and outputs the function will have, and then determine some logical rule for the function to follow. This is done in programming all the time. You have to know what inputs you're dealing with before you can decide what you're going to do with them. More on reddit.com
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February 7, 2018Videos
Domain and Range Practice Test Full Solutions - YouTube
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Find the Domain and Range from a Graph | Functions Algebra Tutorial ...
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Domain and Range of a Function From a Graph - YouTube
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Understand Domain and Range - YouTube
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Find the domain and range of the function given the graph - YouTube
How to find domain and range from a graph (video)
GeeksforGeeks
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Domain and Range | How to Find Domain and Range of a Function - GeeksforGeeks
... A quadratic function is a polynomial function with degree 2 i.e. f(x): ax2 + bx = c = 0 is a Quadratic Function. Example: For g(x) = x2 − 4, the domain is all real numbers, but the range is restricted.
Published October 11, 2022
Math is Fun
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Domain, Range and Codomain
Change the Domain and we have a different function. Example: a simple function like f(x) = x2 can have the domain (what goes in) of just the counting numbers {1,2,3,...}, and the range will then be the set {1,4,9,...}
Khan Academy
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Domain and range from graph (practice)
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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.
Pressbooks
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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 ...
Medium
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Understanding Domain and Range: Real-World Examples | by Aminu Hamza Nababa (Al'amin) | Medium
September 15, 2023 - The range of a function, on the other hand, refers to the set of all possible output values (dependent variables) that the function can produce based on its input values from the domain. Essentially, the range represents the “allowed outputs” of the function. Imagine you are running an e-commerce website, and you have a function that calculates the total cost of items in a user’s shopping cart.
University of Sydney
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Mathematics Learning Centre Functions: The domain and range Jackie Nicholas
The domain of this parabola is all real x. The range is all real y ≥−3.
Middle Georgia State University
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Trigonometric Formula Sheet Definition of the Trig Functions
Example · cos (7π · 6 ) = − · √ · 3 · 2 · sin (7π · 6 ) = −1 · 2 · 3 · Inverse Trig Functions · Definition · θ = sin−1(x) is equivalent to x = sin θ · θ = cos−1(x) is equivalent to x = cos θ · θ = tan−1(x) is equivalent to x = tan θ · Domain and Range ·
BYJUS
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Domain Range and Codomain Of A Function
August 17, 2022 - An interesting point about the range and codomain is that “it is possible to restrict the range (i.e. the output of a function) by redefining the codomain of that function”. For example, the codomain of f(x) must be the set of all positive integers or negative real numbers and so on. Here, the output of the function must be a positive integer and the domain will also be restricted accordingly in this case.
Mathematics LibreTexts
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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
IntMath
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Domain and Range of a Function
No matter what value of x we try, ... shown on the graph, so the range is all non-negative values of `y`. The graph of the curve y = sin x shows the range to be betweeen −1 and 1. The domain of y = sin x is "all values of x", since there are no restrictions on the values ...
CK-12 Foundation
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Domain and Range
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Lumen Learning
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Write Domain and Range Given an Equation | College Algebra
We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. For example, if a person has $100 to spend, he or she would need to express the interval that is more than 0 and less than or equal to 100 and write [latex]\left(0,\text{ }100\right][/latex]. We will discuss interval notation in greater detail later.
Cuemath
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Domain and Range - From Graph | How to Find Domain and Range of a Function?
Then we get x - 2 ≠ 0. Solving ... is the set of all its outputs. Example: Let us consider the function f: A→ B, where f(x) = 2x and each of A and B = {set of natural numbers}. Here we say A is the domain and B is the ...
Mathematics LibreTexts
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3.3: Domain and Range - Mathematics LibreTexts
July 27, 2020 - 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 values from 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
Math.net
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Domain and range
Let's look at the same example as above, f(x) = x2 to see how interval notation is used. Recall that the domain of f(x) = x2 is all real numbers. In other words, any value from negative infinity to positive infinity will yield a real result. Thus, we can write the domain as: ... We used parentheses ...
IXL
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IXL - Domain and range of linear functions: word problems (Algebra 1 practice)
Improve your math knowledge with free questions in "Domain and range of linear functions: word problems" and thousands of other math skills.
Purplemath
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The Domain and Range of Functions
All I have to do for the domain and range parts of this exercise is list the x-values for the domain and the y-values for the range. I remember to use curly-brace set notation for each: ... This is another example of a "boring" function, just like the example on the previous page: every last x-value goes to the exact same y-value.