Relate Function Domain To Graph And Context
Muhtasari
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.
Malengo
- Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
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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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Vitabu Vinavyopendekezwa
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Sehemu ya kitabu
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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