Unit 2:
Exponential and Logarithmic Functions
AA.FGR.3: Explore and analyze structures and patterns for exponential and logarithmic functions and use exponential and logarithmic expressions, equations, and functions to model real-life phenomena.
Learning Goal:
- I can create an exponential function to model a situation involving quantities as ordered pairs.
- I can analyze the behavioral characteristics of an exponential function and graph.
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Learning Goal:
- I can find the inverse of an exponential or logarithmic function and verify that the two functions are one-to-one by graphing the symmetry line y = x.
- I can analyze the behavioral characteristics of a logarithmic graph.
- I can find the inverse of an exponential or logarithmic function and verify that the two functions are one-to-one using composite functions.
- I can analyze and compare the characteristics of an exponential and logarithm graph.
- I can use the inverse relationship to create [logarithmic] or exponential functions from situations modeling an [exponential] or logarithmic function to solve for one unknown variable.
- I can analyze and write the exp and log characteristics in context.
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Learning Goal:
- I can find the inverse of a base e or natural logarithm function and verify that the two functions are one-to-one by graphing the line of
symmetry y = x or using composite functions. - I can analyze and compare the characteristics of base and natural logarithms.
- I can use the inverse relationship to create [logarithmic] or exponential functions from situations modeling an [exponential] or logarithmic
function to solve problems involving two or more unknown variables.
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Learning Goal:
- I can use the properties of logarithms to simplify log and ln expressions.
- I can use the properties of logarithmic and inverse relationships to solve exponential and logarithmic equations.
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Learning Goal:
- I can create an exponential or logarithmic regression equation to model data between two quantities.
- I can create and evaluate exponential or logarithmic regression models to estimate the relationship between two quantities.
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