Graphing Exponential Functions.pdf - Name: Taylor Date:...

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Guided Notes:Graphing Exponential Functions1©Edmentum. Permission granted to copy for classroom use.Name:Date:Graphing ExponentialFunctionsObjectiveIn this lesson, you will analyze key features of exponential functions algebraically andgraphically.Exponential FunctionsLook at some key features of the exponential functionf(x) = ex.Key Featuresdomain and range:The domain of this function isallx-values, or(-,). The range ofthis function is ally-values, or(0,).asymptote: The function has aasymptote along thex-axis, ory=.intercepts:The function has ay-intercept at (0,)andx-intercept.end behavior:The graph is. Asxapproachespositive infinity, the graphapproachesinfinity. Asxapproachesinfinity, the graphapproaches its asymptote line,y=.exponential function: a function that includes thevariable aspart of thein an exponential expression
Guided Notes:Graphing Exponential Functions2©Edmentum. Permission granted to copy for classroom use.Compare the graphs ofg(x)= 5xandf(x) = ex.Bothgandfhave the same,(-,).Bothgandfhave the same,(0,).Bothgandfhave ay-intercept at (0,) and nox-intercept.The bases offandgare boththan 1, soboth functions are.Now let’s compare the graphs of𝒉𝒉(𝒙𝒙)=𝟏𝟏𝟐𝟐𝒙𝒙and𝒇𝒇(𝒙𝒙)=𝐞𝐞𝒙𝒙.TransformationsWe’ve examined the features of exponential functionsin the formf(x) =bx,which are called parentexponential functions and have these characteristics.

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