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Unit 4: Exponential Functions

Algebra 1 Unit 4: Exponential Functions Notes 1 Unit 4: Exponential Functions After completion of this unit, you will be able Learning Target #1: Graphs and Transformations of Exponential Functions Evaluate an Exponential function Graph an Exponential function using a xy chart Identify whether a function is Exponential , quadratic, or linear from a graph, equation, or table Transform an Exponential function by translating, stretching/shrinking, and reflecting Identfiy transformations from a function Learning Target #2: Characteristics of Exponential Functions Identify domain, range, intercepts, zeros, end behavior, extrema, asymptotes, intervals of increase/decrease, and positive/negative parts of the graph Calculate the average rate of change for a specified interval from an equation or graph Learning Target #3: Applications of Exponential Functions Create an Exponential growth and decay function Evaluate the growth/decay function Create a compound interest function Evaluate a compound interest function Solve an Exponential equations Create a geometric sequence Timeline for Unit 4 Monday Tuesday Wednesday Thursday Friday March 25 Day 1 Graphing Exponential Functions 26 Day 2 Transformations of Exponential Functions (a, h, k) 27 Day 3 Characteristics of Exponent

Algebra 1 Unit 4: Exponential Functions Notes 3 Asymptotes An asymptote is a line that an exponential graph gets closer and closer to but never touches or crosses. The equation for the line of an asymptote for a function in the form of f(x) = abx is always y = _____. Identify the asymptote of each graph.

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