Mathematics - Additional - 0606 CIE

Modulus Functions

Muhtasari

The modulus (or absolute value) of a number is its size, ignoring sign, so it is never negative. Applying the modulus to a function flips any negative part of its graph above the x-axis, producing the distinctive 'bounce' you see in modulus graphs.

In this lesson you will understand the relationship between the graph of \(y = f(x)\) and the graph of \(y = |f(x)|\), where \(f(x)\) may be linear, quadratic, cubic or trigonometric.

Malengo

  1. Understand the relationship between the graph of y = f(x) and the graph of y = |f(x)|, where f(x) may be linear, quadratic, cubic or trigonometric.

Maelezo ya Somo

Modulus graphs are the basis for solving modulus equations and inequalities, and they appear throughout this course wherever only the size of a quantity matters.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Modulus Functions. 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. The graph of y = |f(x)| is obtained from y = f(x) by: A. reflecting in the y-axis B. reflecting the part below the x-axis up C. shifting up D. rotating Answer: B
  2. What is the value of |{-7}|? A. -7 B. 0 C. 7 D. 49 Answer: C
  3. The graph of y = |x - 2| has its lowest point at: A. (0, 2) B. (2, 0) C. (-2, 0) D. (0, -2) Answer: B
  4. y = |f(x)| can never be: A. zero B. positive C. negative D. large Answer: C
  5. For x < 2, y = |x - 2| equals: A. x - 2 B. 2 - x C. x + 2 D. 0 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
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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 Modulus Functions? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.

Pakua Programu Kwenye Google Playstore

Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.

Green Bridge CBT Mobile App
Msaidizi wa Gumzo wa Kujifunza wa AI Uliobinafsishwa
Maelfu ya Maswali ya Zamani ya JAMB, WAEC & NECO
Zaidi ya Madaftari ya Masomo 1200
Msaada Nje ya Mtandao - Jifunze Wakati Wowote, Popote Pale
Ratiba ya Daraja la Kijani
Muhtasari wa Fasihi na Maswali Yanayoweza Kutokea
Fuata Utendaji na Maendeleo Yako
Maelezo ya Kina kwa Kujifunza kwa Kina