Grafik fungsi (graph of function)
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Transcript of Grafik fungsi (graph of function)
![Page 1: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/1.jpg)
![Page 2: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/2.jpg)
KDdan
IndikatorMateri
LatihanSoal
![Page 3: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/3.jpg)
K o m p e t e n s i D a s a r Membuat sketsa grafik fungsi aljabar sederhana pada sistem koordinat Cartesius
I n d I k a t o r• Menyusun tabel pasangan nilai peubah dengan nilai fungsi• Menggambar grafik fungsi pada koordinat Cartesius
![Page 4: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/4.jpg)
Bentuk Umum : ax + by + c = 0 Grafik fungsi linear berupa garis lurus
Contoh :
Gambarlah grafik fungsi linear f(x) = x + 2 dengan domain { x| -2 < x < 4}
Solusinya
![Page 5: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/5.jpg)
f(x) = x + 2 , x = {-1,0,1,2,3}
Jawab :
(3,5)(2,4)(1,3)(0,2)(-1,1)
54321
3210-1
(x, y)
y = f(x) = x + 2
x
Table : Untuk x = -1
f(-1) = -1 + 2 = 1
Untuk x = 0f(0) = 0 + 2 = 2
Untuk x = 1f(1) = 1 + 2 = 3
Untuk x = 2f(2) = 2 + 2 = 4
Untuk x = 3f(3) = 3 + 2 = 5
Graph
![Page 6: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/6.jpg)
(3,5)(2,4)(1,3)(0,2)(-1,1)
54321
3210-1
(x, y)
y = f(x) = x + 2
x
(-1,1)
(0,2)
(1,3)
(2,4)
(3,5)y = f(x) = x +2
Graph
![Page 7: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/7.jpg)
Bentuk Umum : y = ax2 + bx + c Grafik fungsi kuadrat berupa parabola
Contoh :
Gambarlah grafik fungsi kuadrat f(x) = x2 dengan domain { x| -3 < x < 3}
Solusinya
![Page 8: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/8.jpg)
f(x) = x2 , x = {-2,-1,0,1,2}
Jawab :
(2,4)(1,1)(0,0)(-1,1)(-2,4)
41014
210-1-2
(x, y)
y = f(x) = x2
x
Table : Untuk x = -2
f(-2) = (-2)2
= 4
Untuk x = -1
f(-1) = (-1)2
= 1
Untuk x = 0f(0) = (0)2
= 0
Untuk x = 1f(1) = (1)2
= 1
Untuk x = 2f(2) = 22
= 4
Graph
![Page 9: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/9.jpg)
(2,4)(1,1)(0,0)(-1,1)(-2,4)
41014
210-1-2
(x, y)
y = f(x) = x2
x
(-2,4) (2,4)
(1,1)(-1,1)
(0,0)
Graph
![Page 10: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/10.jpg)
Latihan :
1. Gambarlah grafik fungsi linear f(x) =2x - 3 dengan domain { x| -2 < x < 4}
Klik iniSolusinya
2. Gambarlah grafik fungsi kuadrat f(x) = -x2 - 2x + 3 dengan domain { x| -5 < x < 3}
Klik iniSolusinya
![Page 11: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/11.jpg)
f(x) = 2x - 3 , x = {-1,0,1,2,3}
Jawab :
(3,3)(2,1)(1,-1)(0,-3)(-1,-5)
31-1-3-5
3210-1
(x, y)
y = f(x) = 2x - 3
x
Table : Untuk x = -1f(-1) = 2(-1) - 3 = -5
Untuk x = 0f(0) = 2(0)-3 = -3
Untuk x = 1f(1) = 2.1-3 = -1
Untuk x = 2f(2) = 2.2 - 3 = 1
Untuk x = 3f(3) = 2.3-3 = 3
![Page 12: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/12.jpg)
(3,3)(2,1)(1,-1)(0,-3)(-1,-5)
31-1-3-5
3210-1
(x, y)
y = f(x) = 2x - 3
x
Graph
(-1,-5)
(0,-3)
(1,-1)
(2,1)
(3,3)
y = f(x) = 2x -3
![Page 13: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/13.jpg)
Table :
Y= f(x)= -x2 - 2x + 3, x = {-4,-3,-2,-1,0,1,2}
x -4 -3 -2 -1 0 1 2
y=f(x) -5 0 3 4 3 0 -5
(x,y) (-4,-5) (-3,0) (-2,3) (-1,4) (0,3) (1,0) (2,-5)
Jawab 2:
![Page 14: Grafik fungsi (graph of function)](https://reader035.fdokumen.com/reader035/viewer/2022081422/55889da5d8b42ad5548b46d8/html5/thumbnails/14.jpg)
x -4 -3 -2 -1 0 1 2
y=f(x) -5 0 3 4 3 0 -5
(x,y) (-4,-5) (-3,0) (-2,3) (-1,4) (0,3) (1,0) (2,-5)