![]() ![]() Since $f(x)$ will always be non-negative, the number $-3$ is in the codomain of $f$, but it is not in the range, as there is no input of $x$ for which $f(x)=-3$. It is possible there are objects in the codomain for which there are no inputs for which the function will output that object.įor example, we could define a function $f: \R \to \R$ as $f(x)=x^2$. All we know is that the range must be a subset of the codomain, so the range must be a subset (possibly the whole set) of the real numbers. But, without knowing what the function $f$ is, we cannot determine what its outputs are so we cannot what its range is. From this notation, we know that the set of all inputs (the domain) of $f$ isi the set of all real numbers and the set of all possible inputs (the codomain) is also the set of all real numbers. In the function machine metaphor, the range is the set of objects that actually come out of the machine when you feed it all the inputs.įor example, when we use the function notation $f: \R \to \R$, we mean that $f$ is a function from the real numbers to the real numbers. Send us feedback about these examples.The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs. These examples are programmatically compiled from various online sources to illustrate current usage of the word 'range.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Shaun Goodwin, Idaho Statesman, 31 Jan. 2024 Raft Idaho lists seven rivers near Boise, ranging from short half-day trips like the Boise River and Payette River to journeys that can take upwards of a week, such as the Jarbridge and Bruneau Rivers or the Owyhee River. 2024 Allen has unsuccessfully thrown his hat in the ring at other times to purchase properties ranging from TV station owner Tegna Inc. 2024 Records from the National Weather Show that the Sacramento area received rainfall totals ranging from more than half an inch of rain to nearly an inch and a half in the past 24 hours. 2024 The collection is tiny, fewer than 400 objects, ranging from antiquity to the last century, and only masterpieces need apply. James Hibberd, The Hollywood Reporter, 1 Feb. 2024 Fans range from Mark Zuckerberg to Barack Obama to Thrones author George R.R. 2024 Within the structure of the unique partnership, the Houston Hottie will have access to WMG’s global services ranging from music promotion to distribution and worldwide marketing. Jack Tamisiea, Scientific American, 2 Feb. 2024 Today there are more than 400 genetically distinct breeds, ranging from pint-size Pomeranians to massive mastiffs. Will Sullivan, Smithsonian Magazine, 2 Feb. Verb For more than 400 million years, sharks have lived through multiple mass extinctions in habitats ranging from tropical coral reefs to the Arctic. Baltimore Sun Staff, Baltimore Sun, 18 Jan. 2024 Both teams struggled from 3-point range, combining to hit just 8 of 41 attempts. Carlos Aguilar, Los Angeles Times, 19 Jan. 2024 The peculiar premise is likely to expand on the range Barrera has shown in varied roles over the last few years. 2024 Over the years, the range of Mac offerings has expanded and then narrowed. Nara Schoenberg, Kansas City Star, 30 Jan. 2024 And those who make the effort can reap a wide range of rewards - richer personal relationships, more interesting interactions, better job performance and less stress at parties and work events. Jillian Mueller, Charlotte Observer, 31 Jan. 2024 Wine prices at the Hobbyist fall in the $12-40 price range. Nicolas Niarchos, The New Yorker, 31 Jan. ![]() ![]() 2024 The Houthis’ support for a Zaydi revival led them to clash with Yemen’s government, which was trying to balance power between a range of tribal and religious constituencies. 2024 Later, the video captures a woman being shot at point blank range. Noun With a concise range that can help solve common issues such as dark circles, spots, acne scars, and blemishes, it can be easily called upon and applied to achieve a natural, fresh look-a finish that’s the sweet spot. ![]()
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