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FUNGSI PECAH, DIFAKTORISASI, EKSPONEN DAN LOGARITMA

FUNGSI PECAH, DIFAKTORISASI, EKSPONEN DAN LOGARITMA. OLEH: NURUL SAILA FAKULTAS EKONOMI UNIVERSITAS PANCA MARGA PROBOLINGGO Kamis , 15 Desember 2011. Fungsi Pecah. Bentuk umum : Contoh : Buatlah sketsa grafik fungsi : xy -y-x= 3 Tentukan titik2 potongnya dg sumbu-sumbu koordinat

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FUNGSI PECAH, DIFAKTORISASI, EKSPONEN DAN LOGARITMA

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  1. FUNGSI PECAH, DIFAKTORISASI, EKSPONEN DAN LOGARITMA OLEH: NURUL SAILA FAKULTAS EKONOMI UNIVERSITAS PANCA MARGA PROBOLINGGO Kamis, 15 Desember 2011

  2. FungsiPecah Bentukumum: Contoh: Buatlahsketsagrafikfungsi: xy-y-x= 3 • Tentukan titik2 potongnya dg sumbu-sumbukoordinat • Tentukanasimtotdatardantegak • Titik2 bantu

  3. FungsiygBisaDifaktorisasi Jika f(x, y)= 0 dptdifaktorisasimenjadi g(x, y).h(x, y) makagrafiknyaterdiriatasduakurvayaitu g(x, y)=0 dan h(x, y)=0 Contoh: Buatlahsketsagrafikfungsi: y3+xy2-xy-x2=0.

  4. FungsiEksponen • Bentukumum: Y=bx, dg b>0, y>0 danxR Membuatgrafik y=bx. • Titikpotong dg sbkoordinat: • Titikpotong dg sb x (tidakada) • Titikpotong dg sb y (0, 1) • Asimtot • Datar: y = 0 • Tegak : tdkada

  5. Contoh: Buatlahsketsagrafikfungsi y = 2x.

  6. FungsiLogaritma • Fungsilogaritmamrpkinversdrfungsieksponen • Y = blog x  x=byinversdari y = bx • . Menggambargrafikfungsilogaritma dg caramenggambarfungsieksponennyaygbersesuaiankmdnmencerminkannyathdgaris y = x.

  7. TugasKelompok Buatlahsketsagrafikfungsi-fungsiberikut: • X2 + y2 - 2x - 2y – 20 = 0 • 4x2 + 9y2 – 36 = 0 • 4x2 - 9y2 - 40y + 64 = 0 • X2 + 4x – y + 4 = 0 • X2 + 2x – xy + 2y – 3 = 0 • Y2x – x - y2 – 1 = 0

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