Unit 4

Exponential and Logarithmic Models

Explore exponential growth and decay, logarithmic properties, natural log, and solving exponential and logarithmic equations.

Unit 4 · 10 pages

Lessons

Unit overview, essential questions, learning objectives, and vocabulary list for Unit 4 Exponential & Logarithmic Functions.

Define exponential functions, identify base and growth/decay factor, evaluate and compare.

Graph exponential functions, identify asymptotes, domain, range, and transformations.

Define logarithms as inverses of exponentials, convert between exponential and logarithmic form.

Graph logarithmic functions, identify asymptotes, domain, range, and transformations.

Apply product, quotient, and power rules for logarithms; expand and condense logarithmic expressions.

Solve exponential and logarithmic equations using properties and change-of-base formula.

Apply exponential growth/decay, logistic, and logarithmic models to real-world problems.

Use regression to fit exponential and logarithmic models to data sets and evaluate fit.

Consolidate your understanding of exponential and logarithmic functions, properties, equations, and models.