Functions And Notation
Gbogbo ọrọ náà
A function is a rule for turning one number into another, and once you can name that rule you can start combining rules, reversing them, and asking exactly which inputs are allowed. This topic gives you the notation that makes all of that precise: f(x), f: x → ..., domain, range, composite functions and inverse functions.
These ideas sit underneath almost everything else in the specification, from graph sketching to calculus, so getting the notation fluent now pays off across the whole course.
Ebumnobi
- Understand the idea of a function of a variable
- Understand a function as a mapping or as a correspondence between the elements of two sets
- Use functional notations of the form f(x) = ... and f: x -> ...
- Understand and use domain and range of a function
- Find and use composite functions
- Find and use inverse functions
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Akwụkwọ Ọmụmụ
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Functions And Notation. 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) = 3x - 5, what is f(4)? A) 7 B) 12 C) 17 D) -7 Answer: A
- If f(x) = x^2 + 1 and g(x) = x - 2, what is fg(3)? A) 2 B) 7 C) 8 D) 10 Answer: A
- Which value must be excluded from the domain of h(x) = 1/(x - 6)? A) x = 0 B) x = -6 C) x = 6 D) x = 1 Answer: C
- If f(x) = 5x + 2, what is f^-1(x)? A) (x - 2)/5 B) (x + 2)/5 C) 5x - 2 D) x/5 - 2 Answer: A
- A function that has an inverse must be: A) many-to-one B) one-to-one C) always increasing D) always positive Answer: B
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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
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Inverse Functions
Verify inverse functions.
"Algebra and Trigonometry: Inverse Functions" 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/3-7-inverse-functions. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Functions And Notation? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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