Cubic Inequalities
Muhtasari
A cubic inequality asks where a cubic curve lies above or below a given level. The quickest reliable method is to sketch the curve from its factors and read off the intervals, rather than juggle algebra blindly.
In this lesson you will solve graphically cubic inequalities of the form \(f(x) > d\), \(f(x) \geqslant d\), \(f(x) < d\) or \(f(x) \leqslant d\), where \(f(x)\) is a product of three linear factors.
Malengo
- Solve graphically cubic inequalities of the form f(x) > d, f(x) >= d, f(x) < d or f(x) <= d, where f(x) is a product of three linear factors and d is a constant.
Maelezo ya Somo
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.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Cubic Inequalities. 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.
- The roots of (x + 2)(x - 1)(x - 3) = 0 are: A. 2, 1, 3 B. -2, 1, 3 C. -2, -1, -3 D. 2, -1, 3 Answer: B
- Solve (x + 2)(x - 1)(x - 3) > 0. A. x < -2 or 1 < x < 3 B. -2 < x < 1 or x > 3 C. -2 < x < 3 D. x > 3 only Answer: B
- At a simple root, a cubic graph: A. touches the axis B. crosses (changes sign) C. is undefined D. is flat Answer: B
- For f(x) >= d (not strict), the roots are: A. excluded B. included C. ignored D. doubled Answer: B
- The best first step for a cubic inequality is to: A. differentiate B. find roots and sketch C. integrate D. complete the square 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.
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.
Vitabu Vinavyopendekezwa
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Cubic Inequalities? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.
