JENIS FUNGSI - denandika.files.wordpress.com ARFIANI,S.T. x y x y Linear y = a 0 + a 1 x a 0...
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JENIS FUNGSI
IKA ARFIANI,S.T.
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x
y
x
y
Linear
y = a0 + a1x
a0
Kemiringan = a1
(a) (b)
0 0
Kuadratik
y = a0 + a1x + a2x2
a0
(Kasus a2 < 0)
2
Jenis-jenis fungsi
![Page 3: JENIS FUNGSI - denandika.files.wordpress.com ARFIANI,S.T. x y x y Linear y = a 0 + a 1 x a 0 Kemiringan = a 1 (a) (b) 0 0 Kuadratik y = a 0 + a 1 ... RUMUS TRIGONOMETRI. GRAFIK FUNGSI](https://reader030.fdocument.pub/reader030/viewer/2022021416/5aa235ab7f8b9ada698c9a26/html5/thumbnails/3.jpg)
x
y
x
y
(c) (d)
0 0
Kubik
y = a0 + a1x + a2x2 + a3x3
a0
Bujur sangkar hiperbolik
y = a / x
(a > 0)
3
Jenis-jenis fungsi
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x
y
x
y
(e) (f)
0 0
Eksponen
y = bx
(b > 1)
Logaritma
y = logb x
4
Jenis-jenis fungsi
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• Fungsi trigonometrik : fungsi yang variabelbebasnya merupakan bilangan-bilangangonometrik.
(sinus, cosinus, tangent, cotangent, secant dan cosecant).
persamaan trigonometrik y = sin x
persamaan hiperbolik y = arc cos x
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RUMUS TRIGONOMETRI
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GRAFIK FUNGSI SINUS
GRAFIK FUNGSI COSINUS
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GRAFIK FUNGSI TANGENT
GRAFIK FUNGSI COTANGENT
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GRAFIK FUNGSI SECANT
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GRAFIK FUNGSI COSECANT
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• Fungsi yang merupakan kombinasi dari beberapa fungsi. Misal terdapat dua buah fungsi, yaitu f dan g. Jika daerah nilai fungsi g merupakan daerah definisi dari fungsi f, maka kombinasi f dan g kita tulis dengan fog (baca f circle g) dan didefinisikan sebagai :
• Sebaliknya jika daerah nilai fungsi f merupakan daerah definisi dari g maka kombinasinya kita tulis dengan gof (baca g circle f) dan didefinisikan sebagai:
fungsi KOMPOSISI
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• Jika fog(x) = -2x+3 dan f(x) = 2x + 1 tentukan fungsi g(x).
• Jawaban :f(g(x)) = fog(x)2(g(x)) + 1 = -2x+32(g(x)) = -2x+3 -12(g(x)) = -2x+2
g(x) = -2x+2/2 = -x + 1
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LATIHAN
• Diketahui :
f(x) = x2-2x dan g(x) = x-1
tentukan gof dan fog kemudian gambar grafiknya masing-masing.
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• Diketahui f(x) = x +5, g(x) = 2x +3 dan h(x) = 3x - 1Tentukan :
a. (fog)oh (x)b. fo(goh) (x)c. (hog)of (x)d. ho(gof) (x)
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• Jika fungsi f(x) = 3x - 5 dan fog(x) = 12x maka g(x)= ?
• Jika f(x) = 2x - 7 dan gof(x) = 4x -6 maka g(x)=?
• Jika g(x) = 3x+11 dan gof(x) = 9x - 16 maka f(x) =?