Function Notation, Domain And Range
Gbogbo ọrọ náà
A function is a rule that takes each input to exactly one output, and function notation is the compact language for writing that rule down. The symbol \(f(x)\) does not mean f times x: it means the output of the function f when the input is x. This single piece of notation unlocks the whole of the functions topic.
In this lesson you will use function notation, evaluate functions, and understand the domain (the allowed inputs) and the range (the resulting outputs). You will also meet mapping diagrams, a visual way to see a function send each input to its output.
Ebumnobi
- Use function notation, and understand the domain and range of a function, including mapping diagrams.
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Akwụkwọ Ọmụmụ
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Function Notation, Domain And Range. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- If f(x) = 2x + 1, what is f(3)? A. 5 B. 6 C. 7 D. 9 Answer: C
- If f(x) = 2x + 1, what is f(-2)? A. -3 B. -1 C. 3 D. 5 Answer: A
- The set of allowed inputs of a function is its: A. range B. domain C. output D. mapping Answer: B
- What is the range of f(x) = x^2 over all real numbers? A. all real numbers B. f(x) > 0 C. f(x) >= 0 D. f(x) <= 0 Answer: C
- For f(x) = sqrt(x), the domain must satisfy: A. x > 1 B. x >= 0 C. x <= 0 D. all real x Answer: B
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Akwụkwọ A Na-atụ Aro
Mụtakwuo ihe site na isi mmalite mepere emepe
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Akụkụ akwụkwọ
Relations and Functions
Find the domain and range of a relation
"Intermediate Algebra: Relations and Functions" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/intermediate-algebra/pages/3-5-relations-and-functions. Access for free at https://openstax.org/books/intermediate-algebra/pages/1-introduction
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Akụkụ akwụkwọ
Functions and Function Notation
Determine whether a relation represents a function.
"Algebra and Trigonometry: Functions and Function Notation" 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/3-1-functions-and-function-notation. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
Ndị otu ndị ọzọ bipụtara ha n'okpuru ikike mepere emepe, anyị na-ekele ha dị ka ha si chọọ. Njikọ na-emepe saịtị ha.
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Function Notation, Domain And Range? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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