Unit 7 homework 1 graphing exponential functions answers

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.𝑓(𝑥) = 𝑏Exponential_______________Function:𝑓(𝑥) = 𝑏௫where _____________.Exponential_______________Function:𝑓(𝑥) = 𝑏௫where _____________.AnAsymptoteis a __________ that the graph of the function ____________________.Exponential Growth Function:𝑓(𝑥) = 𝑏௫, 𝑏 > 1Exponential Decay Function:𝑓(𝑥) = 𝑏௫, 0 < 𝑏 < 1Type of graph:Type of graph:Domain:Domain:Range:Range:y-intercept:y-intercept:Horizontal Asymptote:Horizontal Asymptote:Exponential Function:𝑓(𝑥) = 𝑎𝑏௫ି௛+ 𝑘Parent Function:𝑓(𝑥) = 𝑏Ifais ___________________, the graph is ___________________ over the _____-___________.If|𝒂| > 𝟏, the graph is vertically ________________________.If𝟎 < |𝒂| < 𝟏, the graph is vertically ________________________.If𝑥 − 𝒉,ℎis ___________________, graph is translatedℎunits ______________.If𝑥 + 𝒉,ℎis ___________________, graph is translated|ℎ|units ______________.If𝒌is ___________________, graph is translated𝑘units ______________.If𝒌is ___________________, graph is translated|𝑘|units ______________.Horizontal Asymptote: _________________.Domain: _________________.Range: If _____, _________________. If _____,_________________.௫௫

2Ex 1Graph and state asymptote,𝑦-intercept, domain, and range.𝑓(𝑥) = 2௫Transformations:HA:y-intercept:Domain:Range:Ex 2Graph and state asymptote,𝑦-intercept, domain, and range.a.𝑔(𝑥) = 2௫− 1Transformations:HA:y-intercept:Domain:Range:b.𝑔(𝑥) = −2௫ାଶTransformations:HA:y-intercept:Domain:Range:𝒙𝒚−2−1012

3Ex 3Graph and state asymptote,𝑦-intercept, domain, and range.a.𝑓(𝑥) = ቀଵଶቁ௫Transformations:HA:y-intercept:Domain:Range:b.𝑔(𝑥) = − ቀଵଶቁ௫ାଶ+ 1Transformations:HA:y-intercept:Domain:Range:c.𝑦 = 4 ቀଵଶቁ௫ିଵ− 2Transformations:HA:y-intercept:Domain:Range:𝒙𝒚−2−1012

47-3a Graphing Logarithmic FunctionsLogarithmLet𝑏and𝑁be positive numbers,𝑏 ≠ 1.

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