Name__________________________________________________Date_______________Block______Unit 7 Exponential and Logarithmic Functions7-1 Graphing Exponential FunctionsExponential Function:A function where the __________ is a constant and the _______________ is theindependent variable.đ(đĨ) = đExponential_______________Function:đ(đĨ) = đā¯Ģwhere _____________.Exponential_______________Function:đ(đĨ) = đā¯Ģwhere _____________.AnAsymptoteis a __________ that the graph of the function ____________________.Exponential Growth Function:đ(đĨ) = đā¯Ģ, đ > 1Exponential Decay Function:đ(đĨ) = đā¯Ģ, 0 < đ < 1Type of graph:Type of graph:Domain:Domain:Range:Range:y-intercept:y-intercept:Horizontal Asymptote:Horizontal Asymptote:Exponential Function:đ(đĨ) = đđā¯ĢāŦŋā¯+ đParent Function:đ(đĨ) = đIfais ___________________, the graph is ___________________ over the _____-___________.If|đ| > đ, the graph is vertically ________________________.Ifđ < |đ| < đ, the graph is vertically ________________________.IfđĨ â đ,âis ___________________, graph is translatedâunits ______________.IfđĨ + đ,âis ___________________, graph is translated|â|units ______________.Ifđis ___________________, graph is translatedđunits ______________.Ifđis ___________________, graph is translated|đ|units ______________.Horizontal Asymptote: _________________.Domain: _________________.Range: If _____, _________________. If _____,_________________.ā¯Ģā¯Ģ
2Ex 1Graph and state asymptote,đĻ-intercept, domain, and range.đ(đĨ) = 2ā¯ĢTransformations:HA:y-intercept:Domain:Range:Ex 2Graph and state asymptote,đĻ-intercept, domain, and range.a.đ(đĨ) = 2ā¯Ģâ 1Transformations:HA:y-intercept:Domain:Range:b.đ(đĨ) = â2ā¯ĢāŦžāŦļTransformations:HA:y-intercept:Domain:Range:đđâ2â1012
3Ex 3Graph and state asymptote,đĻ-intercept, domain, and range.a.đ(đĨ) = áāŦĩāŦļáā¯ĢTransformations:HA:y-intercept:Domain:Range:b.đ(đĨ) = â áāŦĩāŦļáā¯ĢāŦžāŦļ+ 1Transformations:HA:y-intercept:Domain:Range:c.đĻ = 4 áāŦĩāŦļáā¯ĢāŦŋāŦĩâ 2Transformations:HA:y-intercept:Domain:Range:đđâ2â1012
47-3a Graphing Logarithmic FunctionsLogarithmLetđandđbe positive numbers,đ â 1.
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