Mathematics - Additional - 0606 CIE

Graphs Of A Function And Its Inverse

Muhtasari

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 \(y = x\).

Malengo

  1. 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.

Maelezo ya Somo

The reflection relationship is a quick way to sketch an inverse and to check inverse work, and it deepens your understanding of what an inverse function is.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Graphs Of A Function And Its Inverse. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  1. 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
  2. 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
  3. The inverse of f(x) = x^2 (x >= 0) is: A. x^2 B. 1/x^2 C. √x D. -x^2 Answer: C
  4. 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
  5. Reflecting (a, b) in y = x gives: A. (a, b) B. (b, a) C. (-a, b) D. (a, -b) Answer: B

Inapatikana kwenye programu ya Green Bridge

Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

Maelezo kamili ya masomo yenye michoro
Msaidizi wa kujifunza wa AI
Soma bila mtandao, wakati wowote, mahali popote
Inapatikana kwa Android, Windows, macOS, na Linux

Inapatikana kwenye programu ya Green Bridge

Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

Maelezo kamili ya masomo yenye michoro
Msaidizi wa kujifunza wa AI
Soma bila mtandao, wakati wowote, mahali popote
Inapatikana kwa Android, Windows, macOS, na Linux

Fanya Mazoezi ya Maswali ya Majaribio

Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Graphs Of A Function And Its Inverse? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.

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