Modulus Functions
Bayani Gaba-gaba
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.
Manufura
- 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.
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Nazarin Darasi
Barka da kammala darasi akan Modulus Functions. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- 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
- What is the value of |{-7}|? A. -7 B. 0 C. 7 D. 49 Answer: C
- 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
- y = |f(x)| can never be: A. zero B. positive C. negative D. large Answer: C
- For x < 2, y = |x - 2| equals: A. x - 2 B. 2 - x C. x + 2 D. 0 Answer: B
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Yi aikin wadannan tambayoyi a cikin manhaja
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