Mathematics - International - 0607 CIE

Functions

Gbogbo ọrọ náà

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.

Ebumnobi

Understand and use function notation.

Akọmọ Ojú-ẹkọ

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.

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese

Onye inyeaka mmụta AI

Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla

Budata ngwa ekwentị Budata ngwa kọmputa

Ọ dị na Android, Windows, macOS, na Linux

Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Functions. 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.

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