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Bab II FUNGSI DAN LIMIT FUNGSI

Bab II FUNGSI DAN LIMIT FUNGSI. IR. Tony hartono bagio , mt , mm. II. FUNGSI DAN LIMIT. 2.1 Fungsi dan Grafiknya 2.2 Operasi pada Fungsi 2.3 Pengertian Limit 2.4 Teorema Limit 2.5 Limit Kiri dan Limit Kanan 2.6 Limit Tak Hingga 2.7 Kekontinuan Fungsi. 2.1 Fungsi dan Grafiknya.

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Bab II FUNGSI DAN LIMIT FUNGSI

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  1. Bab IIFUNGSI DAN LIMIT FUNGSI IR. Tony hartonobagio, mt, mm Prepared by : Tony Hartono Bagio

  2. II. FUNGSI DAN LIMIT 2.1 FungsidanGrafiknya 2.2 OperasipadaFungsi 2.3 Pengertian Limit 2.4 Teorema Limit 2.5 Limit Kiri dan Limit Kanan 2.6 Limit TakHingga 2.7 KekontinuanFungsi Prepared by : Tony Hartono Bagio

  3. 2.1 FungsidanGrafiknya Definisi • Sebuahfungsi f darihimpunan A kehimpunan B adalahsuatuaturan yang memasangkansetiap x anggota A dengantepatsatu y anggota B. • Adisebutdomain (daerahasal) fungsifdanBdisebutkodomain (daerahkawan). • SedangkanhimpunansemuaanggotaB yang mempunyaipasangandisebutrange (daerahhasil). Prepared by : Tony Hartono Bagio

  4. 2.1 FungsidanGrafiknya Contoh 4 Buatlah sketsa grafik dari: (a) f(x) = x2 – 4 (b) g(x)= 1 / x (c) h(x)= | x | klikdisiniContoh 4 Prepared by : Tony Hartono Bagio

  5. 2.2 OperasipadaFungsi • Jikaf dan g duafungsimakajumlah f + g, selisih f – g, hasil kali fg, hasilbagi f/g danperpangkatan fnadalahfungsi-fungsidengandaerahasalberupairisandaridaerahasalf dandaerahasal g, dandirumuskansebagaiberikut. • (f +g)(x) = f (x) + g(x) • (f – g)(x) = f (x) – g(x) • (f g)(x) = f (x) g(x) • (f / g)(x) = asalkan g(x) ≠ 0 Prepared by : Tony Hartono Bagio

  6. 2.2 OperasipadaFungsi Contoh 5 Jikaf(x) = x2 – 2x dan g(x) = x – 1, tentukan f + g, f – g, fg, f/g dan f 3. Selanjutnyagambarlahsketsagrafiknya. Click disiniContoh 5 Tentukanjuga(f o g)(x) dan (g o f)(x) Click disiniContoh 6 Prepared by : Tony Hartono Bagio

  7. 2.3 Pengertian Limit Arti limit = mendekati, Contoh = Fungsitersebuttidakterdefinisidi x = 1 sebabdititikini f(x) berbentuk Tetapidapatdiselidikimengenainilai f(x) dititik-titik yang dekatdengan 1 (x mendekati 1). Prepared by : Tony Hartono Bagio

  8. 2.3 Pengertian Limit Prepared by : Tony Hartono Bagio

  9. 2.3 Pengertian Limit Prepared by : Tony Hartono Bagio

  10. 2.3 Pengertian Limit Prepared by : Tony Hartono Bagio

  11. 2.3 Pengertian Limit Prepared by : Tony Hartono Bagio

  12. 2.3 Pengertian Limit Prepared by : Tony Hartono Bagio

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