Relate Function Domain To Graph And Context
Akopọ
The domain of a function is the set of inputs it is allowed to take, and where you read that domain depends on how the function is presented. On a graph the domain is the spread of x-values the curve covers; in a real situation it is the set of inputs that actually make sense, such as a length that cannot be negative.
In this lesson you will relate the domain of a function to its graph and to the context it describes. You will read a domain from a graph, recognize the mathematical restrictions that limit a domain, and decide which inputs are sensible in a real-world problem.
Awọn Afojusun
- Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
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Oriire fun ipari ẹkọ lori Relate Function Domain To Graph And Context. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
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- A graph runs from x = 0 to x = 6. Its domain is: A. 0 <= x <= 6 B. 0 <= y <= 6 C. x >= 6 D. all real x Answer: A
- What is the domain of f(x) = 1/(x - 2)? A. all real x B. all real x except x = 2 C. x >= 2 D. x > 0 Answer: B
- The domain of f(x) = sqrt(x) is: A. x > 1 B. all real x C. x >= 0 D. x <= 0 Answer: C
- For V(t) = 100 - 5t (a draining tank), the sensible domain is: A. all real t B. t >= 0 C. 0 <= t <= 20 D. t <= 0 Answer: C
- A function counting numbers of people has a domain that is: A. continuous B. discrete (whole numbers) C. negative D. empty Answer: B
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Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
Domain and Range
Find the domain of a function defined by an equation.
"Algebra and Trigonometry: Domain and Range" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/3-2-domain-and-range. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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