Uji Pemahaman Relasi dan Fungsi

Apa yang dimaksud dengan relasi dalam matematika?

• Relasi adalah hubungan antara dua himpunan.

• Relasi adalah kumpulan angka.

• Relasi adalah satu himpunan yang terpisah.

• Relasi adalah fungsi yang tidak terdefinisi.

Berikan contoh relasi dari himpunan A = {1, 2, 3} ke himpunan B = {4, 5, 6}.

• {(1, 4), (2, 5), (3, 5)}

• {(1, 5), (2, 4), (3, 6)}

• {(1, 4), (2, 5), (3, 6)}

• {(1, 4), (2, 6), (3, 5)}

Buatlah tabel fungsi untuk fungsi f(x) = 2x + 3.

• | x | f(x) | |-----|------| | -2 | -1 | | -1 | 1 | | 0 | 2 | | 1 | 4 | | 2 | 6 |

• | x | f(x) | |-----|------| | -2 | 5 | | -1 | 4 | | 0 | 1 | | 1 | 3 | | 2 | 9 |

• | x | f(x) | |-----|------| | -2 | 0 | | -1 | 2 | | 0 | 5 | | 1 | 6 | | 2 | 8 |

• | x | f(x) | |-----|------| | -2 | 1 | | -1 | 1 | | 0 | 3 | | 1 | 5 | | 2 | 7 |

Gambarlah grafik dari fungsi f(x) = x^2.

• The graph of f(x) = x^2 is a circle centered at (0,0) with radius 1.

• The graph of f(x) = x^2 is a parabola opening upwards with vertex at (0,0).

• The graph of f(x) = x^2 is a straight line with a slope of 2.

• The graph of f(x) = x^2 is a parabola opening downwards with vertex at (0,0).

Tentukan domain dari fungsi f(x) = 1/(x-2).

• x ∈ ℝ, x ≠ 2

• x ∈ ℝ, x > 2

• x ∈ ℝ, x < 2

• x ∈ ℝ, x = 2

Tentukan kodomain dari fungsi f(x) = 3x - 1.

• R

• R-

• {0}

• R+

Apakah relasi berikut merupakan fungsi: {(1,2), (1,3), (2,4)}?

• Fungsi banyak-ke-satu

• Bukan fungsi

• Fungsi satu-ke-satu

• Fungsi

Buatlah tabel fungsi untuk fungsi g(x) = -x + 5.

• | x | g(x) | |-----|------| | -2 | 7 | | -1 | 6 | | 0 | 5 | | 1 | 4 | | 2 | 3 | | 3 | 2 |

• | x | g(x) | |-----|------| | -2 | 9 | | -1 | 8 | | 0 | 7 | | 1 | 6 | | 2 | 5 | | 3 | 4 |

• | x | g(x) | |-----|------| | -2 | 8 | | -1 | 7 | | 0 | 6 | | 1 | 5 | | 2 | 4 | | 3 | 3 |

• | x | g(x) | |-----|------| | -2 | 6 | | -1 | 5 | | 0 | 4 | | 1 | 3 | | 2 | 2 | | 3 | 1 |

Gambarlah grafik dari fungsi h(x) = |x|.

• The graph of h(x) = |x| is a U-shape with vertex at (0,0).

• The graph of h(x) = |x| is a V-shape with vertex at (0,0) and slopes of -1 and 1.

• The graph of h(x) = |x| has slopes of 2 and -2.

• The graph of h(x) = |x| is a straight line with a slope of 0.

Tentukan domain dari fungsi j(x) = √(x-1).

• (0, 1)

• (1, 2)

• [1, ∞)

• [0, 1]