Functions And Notation
Muhtasari
A function is a rule for turning one number into another, and once you can name that rule you can start combining rules, reversing them, and asking exactly which inputs are allowed. This topic gives you the notation that makes all of that precise: f(x), f: x → ..., domain, range, composite functions and inverse functions.
These ideas sit underneath almost everything else in the specification, from graph sketching to calculus, so getting the notation fluent now pays off across the whole course.
Malengo
- Understand the idea of a function of a variable
- Understand a function as a mapping or as a correspondence between the elements of two sets
- Use functional notations of the form f(x) = ... and f: x -> ...
- Understand and use domain and range of a function
- Find and use composite functions
- Find and use inverse functions
Maelezo ya Somo
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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 Functions And Notation. 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.
- If f(x) = 3x - 5, what is f(4)? A) 7 B) 12 C) 17 D) -7 Answer: A
- If f(x) = x^2 + 1 and g(x) = x - 2, what is fg(3)? A) 2 B) 7 C) 8 D) 10 Answer: A
- Which value must be excluded from the domain of h(x) = 1/(x - 6)? A) x = 0 B) x = -6 C) x = 6 D) x = 1 Answer: C
- If f(x) = 5x + 2, what is f^-1(x)? A) (x - 2)/5 B) (x + 2)/5 C) 5x - 2 D) x/5 - 2 Answer: A
- A function that has an inverse must be: A) many-to-one B) one-to-one C) always increasing D) always positive 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 Functions And Notation? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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