AP STATISTICS LESSON 4 -1 TRANSFORMING RELATIONSHIPS ESSENTIAL QUESTION: How can curves be transformed into straight lines? Objectives: • To use inverse functions to transform data into linear equations. • To use the transformed data to create mathematical models that will make predictions using data. Linear vs. Exponential growth • Linear growth increases by a fixed amount in each equal time period. • Exponential growth increases by a fixed percentage of the previous total. Algebraic Properties of Logarithms logb x = y if and only by = x The rules for logarithms are: 1. log(AB) = log A + log B 2. log(A/B) = logA – log B 3. logXp = plog X