Mathematics - International - 0607 CIE

Functions

Bayani Gaba-gaba

A function is a rule that takes an input, does something to it, and gives back exactly one output. Function notation, the compact \(f(x)\) style, is the language that lets us name a rule, apply it to any value, and talk about it precisely. It is one of the most important ideas in all of mathematics.

In this lesson you will learn what function notation means, how to read \(f(x)\) as the output for an input \(x\), and how to evaluate a function at a particular value by substitution. These ideas open the door to graphs, transformations and the more advanced function work later in the course.

Manufura

Understand and use function notation.

Takardar Darasi

Functions are how mathematics describes any process that turns an input into an output: a price into a tax, a time into a position, a temperature in one scale into another. Function notation gives every such rule a clear name and a clean way to apply it, which is why it appears throughout algebra, graphs and every quantitative subject beyond.

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Nazarin Darasi

Barka da kammala darasi akan Functions. 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.

For f(x) = 2x + 3, what is f(4)? A. 8 B. 9 C. 11 D. 14 Answer: C
For f(x) = x^2 - 1, what is f(-3)? A. -10 B. -8 C. 8 D. 10 Answer: C
In the notation f(x), what does x represent? A. the output B. the input C. the name of the function D. a multiplication Answer: B
For f(x) = 2x + 3, which value of x gives f(x) = 15? A. 5 B. 6 C. 9 D. 12 Answer: B
For f(x) = 5 - x, what is f(2)? A. 2 B. 3 C. 7 D. 10 Answer: B