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Grafik Fungsi (Graph of Function)
Grafik Fungsi (Graph of Function) KD dan Indikator Materi Latihan Soal
Grafik Fungsi (Graph of Function) K o m p e t e n s i  D a s a r   Membuat sketsa grafik fungsi aljabar sederhana pada  si...
Grafik Fungsi (Graph of Function) A. Fungsi Linear ( Linear Function ) Contoh : Gambarlah grafik fungsi linear f(x) = x + ...
f(x) = x + 2 ,  x = {-1,0,1,2,3}  Jawab : (3,5) (2,4) (1,3) (0,2) (-1,1) 5 4 3 2 1 Table : Untuk x = -1 f(-1) = -1 + 2 = 1...
(-1,1) (0,2) (1,3) (2,4) (3,5) y = f(x) = x +2 Graph (3,5) (2,4) (1,3) (0,2) (-1,1) 5 4 3 2 1 3 2 1 0 -1 (x, y) y = f(x) =...
Grafik Fungsi (Graph of Function) B. Fungsi Kuadrat ( Quadratic Function ) Contoh : Gambarlah grafik fungsi kuadrat f(x) =...
f(x) = x 2  ,  x = {-2,-1,0,1,2}  Jawab : (2,4) (1,1) (0,0) (-1,1) (-2,4) 4 1 0 1 4 Table : Untuk x = -2 f(-2) = (-2) 2 = ...
(-2,4) (2,4) (1,1) (-1,1) (0,0) Graph (2,4) (1,1) (0,0) (-1,1) (-2,4) 4 1 0 1 4 2 1 0 -1 -2 (x, y) y = f(x) = x 2   x
Latihan : 1. Gambarlah grafik fungsi linear f(x) =2x - 3  dengan domain { x| -2 < x < 4} Klik ini Solusinya 2. Gambarlah g...
f(x) = 2x - 3 ,  x = {-1,0,1,2,3}  Jawab : (3,3) (2,1) (1,-1) (0,-3) (-1,-5) 3 1 -1 -3 -5 Table : Untuk x = -1 f(-1) = 2(-...
(3,3) (2,1) (1,-1) (0,-3) (-1,-5) 3 1 -1 -3 -5 3 2 1 0 -1 Graph (-1,-5) (0,-3) (1,-1) (2,1) (3,3) y = f(x) = 2x -3 (x, y) ...
Table  : Y= f(x)= -x 2  - 2x + 3,  x =  {-4,-3,-2,-1,0,1,2}  Jawab 2: x -4 -3 -2 -1 0 1 2 y=f(x)  -5 0 3 4 3 0 -5 (x,y) (-...
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)
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Grafik fungsi (graph of function)

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Grafik fungsi (graph of function)

  1. 1. Grafik Fungsi (Graph of Function)
  2. 2. Grafik Fungsi (Graph of Function) KD dan Indikator Materi Latihan Soal
  3. 3. Grafik Fungsi (Graph of Function) 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 <ul><li>I n d I k a t o r </li></ul><ul><li>Menyusun tabel pasangan nilai peubah dengan nilai fungsi </li></ul><ul><li>Menggambar grafik fungsi pada koordinat Cartesius </li></ul>
  4. 4. Grafik Fungsi (Graph of Function) A. Fungsi Linear ( Linear Function ) Contoh : Gambarlah grafik fungsi linear f(x) = x + 2 dengan domain { x| -2 < x < 4} Solusinya Bentuk Umum : ax + by + c = 0 Grafik fungsi linear berupa garis lurus
  5. 5. f(x) = x + 2 , x = {-1,0,1,2,3} Jawab : (3,5) (2,4) (1,3) (0,2) (-1,1) 5 4 3 2 1 Table : Untuk x = -1 f(-1) = -1 + 2 = 1 Untuk x = 0 f(0) = 0 + 2 = 2 Untuk x = 1 f(1) = 1 + 2 = 3 Untuk x = 2 f(2) = 2 + 2 = 4 Untuk x = 3 f(3) = 3 + 2 = 5 3 2 1 0 -1 (x, y) y = f(x) = x + 2 x Graph
  6. 6. (-1,1) (0,2) (1,3) (2,4) (3,5) y = f(x) = x +2 Graph (3,5) (2,4) (1,3) (0,2) (-1,1) 5 4 3 2 1 3 2 1 0 -1 (x, y) y = f(x) = x + 2 x
  7. 7. Grafik Fungsi (Graph of Function) B. Fungsi Kuadrat ( Quadratic Function ) Contoh : Gambarlah grafik fungsi kuadrat f(x) = x 2 dengan domain { x| -3 < x < 3} Solusinya Bentuk Umum : y = ax 2 + bx + c Grafik fungsi kuadrat berupa parabola
  8. 8. f(x) = x 2 , x = {-2,-1,0,1,2} Jawab : (2,4) (1,1) (0,0) (-1,1) (-2,4) 4 1 0 1 4 Table : Untuk x = -2 f(-2) = (-2) 2 = 4 Untuk x = -1 f(-1) = (-1) 2 = 1 Untuk x = 0 f(0) = (0) 2 = 0 Untuk x = 1 f(1) = (1) 2 = 1 Untuk x = 2 f(2) = 2 2 = 4 2 1 0 -1 -2 (x, y) y = f(x) = x 2 x Graph
  9. 9. (-2,4) (2,4) (1,1) (-1,1) (0,0) Graph (2,4) (1,1) (0,0) (-1,1) (-2,4) 4 1 0 1 4 2 1 0 -1 -2 (x, y) y = f(x) = x 2 x
  10. 10. Latihan : 1. Gambarlah grafik fungsi linear f(x) =2x - 3 dengan domain { x| -2 < x < 4} Klik ini Solusinya 2. Gambarlah grafik fungsi kuadrat f(x) = -x 2 - 2x + 3 dengan domain { x| -5 < x < 3} Klik ini Solusinya
  11. 11. f(x) = 2x - 3 , x = {-1,0,1,2,3} Jawab : (3,3) (2,1) (1,-1) (0,-3) (-1,-5) 3 1 -1 -3 -5 Table : Untuk x = -1 f(-1) = 2(-1) - 3 = -5 Untuk x = 0 f(0) = 2(0)-3 = -3 Untuk x = 1 f(1) = 2.1-3 = -1 Untuk x = 2 f(2) = 2.2 - 3 = 1 Untuk x = 3 f(3) = 2.3-3 = 3 3 2 1 0 -1 (x, y) y = f(x) = 2x - 3 x
  12. 12. (3,3) (2,1) (1,-1) (0,-3) (-1,-5) 3 1 -1 -3 -5 3 2 1 0 -1 Graph (-1,-5) (0,-3) (1,-1) (2,1) (3,3) y = f(x) = 2x -3 (x, y) y = f(x) = 2x - 3 x
  13. 13. Table : Y= f(x)= -x 2 - 2x + 3, x = {-4,-3,-2,-1,0,1,2} Jawab 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)
  14. 14. 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)

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