Mathematics (US) - 0444 CIE

Function Notation, Domain And Range

Bayani Gaba-gaba

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.

Manufura

  1. Use function notation, and understand the domain and range of a function, including mapping diagrams.

Takardar Darasi

Functions are the backbone of mathematics beyond this course, and function notation is how they are written everywhere from algebra to calculus. Getting comfortable with what the domain and range mean, and with reading f(x) correctly, makes the rest of the functions topic far easier.

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Nazarin Darasi

Barka da kammala darasi akan Function Notation, Domain And Range. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. If f(x) = 2x + 1, what is f(3)? A. 5 B. 6 C. 7 D. 9 Answer: C
  2. If f(x) = 2x + 1, what is f(-2)? A. -3 B. -1 C. 3 D. 5 Answer: A
  3. The set of allowed inputs of a function is its: A. range B. domain C. output D. mapping Answer: B
  4. 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
  5. 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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Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

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