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GUIDED NOTES – Lesson 6-1a Graphing Exponential Functions Name: ______________________ Period: ___ OBJECTIVE: I can identify the types of exponential functions, as well as evaluate and graph them.Exponential functions have the form: ; where , and x is any real number.Domain:Range:There are two basic types of exponential functions…3220720293060014833602994000This type is a This type is afunction. function.fx=bxfx=bxWhere WhereTo graph exponential functions, make a table, plot the points and connect them with a smooth curve.fx=2xfx=4xfx=(3)2x4580255116840xf(x)-2-1012300xf(x)-2-101232225040116840xf(x)-2-1012300xf(x)-2-10123090805xf(x)-2-1012300xf(x)-2-101234697095335280002355850340995003423033767600x-intercept: y-intercept: x-intercept: y-intercept: x-intercept: y-intercept:GUIDED NOTES – Lesson 6-1b Translations of Exponential Functions The equation fx=(a)bx-h+k is the translation function that helps us understand how changing values impacts the resulting graph.h tells us about horizontal movement.If h is positive…If h is negative…a tells us about stretching, reflecting, and compressing.If a < 0…If a > 1…If 0 < a < 1…k tells us about vertical movement.If k is positive…If k is negative…Given the graphed parent function fx=2x, perform the following translations.4714875492760569277587439551200051995170526351519240505414010176466555416451470660473075048514033305758775702757805199834529013151927225305181017678403179445147383523685504883152352675496265fx=2x-2-45720301320 fx=2x-2 fx=(-1)2xfx=2x+2 fx=2x+3 fx=(-2)2x56927755327655120005165354052635151582420541401014230355541645112903047307501435104714875151130333057552451027578051645285290131515741653051810141478031794451120775236855013525523526751428759302755264153575051647190501015157607065151014166857791451122680-31750137160-47625144780 ................
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