Graphs Of A Function And Its Inverse
Akopọ
The inverse of a function undoes it, and there is a beautiful geometric link between the two: each is the mirror image of the other in the line \(y = x\). Seeing this reflection makes inverse functions intuitive rather than abstract.
In this lesson you will use sketch graphs to show the relationship between a function and its inverse, recognising that each is the reflection of the other in the line \(y = x\).
Awọn Afojusun
- Use sketch graphs to show the relationship between a function and its inverse, recognising that each is the reflection of the other in the line y = x.
Akọ̀wé Ẹ̀kọ́
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Graphs Of A Function And Its Inverse. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- A function and its inverse are reflections of each other in the line: A. y = 0 B. x = 0 C. y = x D. y = -x Answer: C
- If (2, 4) lies on y = f(x), which point lies on y = f-inverse(x)? A. (2, 4) B. (4, 2) C. (-2, -4) D. (4, -2) Answer: B
- The inverse of f(x) = x^2 (x >= 0) is: A. x^2 B. 1/x^2 C. √x D. -x^2 Answer: C
- To sketch an inverse you reflect the graph in: A. the x-axis B. the y-axis C. the line y = x D. the origin Answer: C
- Reflecting (a, b) in y = x gives: A. (a, b) B. (b, a) C. (-a, b) D. (a, -b) Answer: B
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Graphs Of A Function And Its Inverse? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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