Exponential Growth and Decay Functions – Graphs & Word Problems

This comprehensive Algebra 2 worksheet is designed to help students master Exponential Growth and Decay Functions through a variety of engaging problems involving graphs, tables, equations, and real-world applications. Aligned to Common Core Standards HSF.LE.A.1, HSF.LE.A.2, HSF.LE.A.3, and HSF.IF.C.7.E, this resource is ideal for a full 90–120 minute lesson or multiple days of targeted practice.

Students will distinguish between exponential and linear models, construct functions from descriptions and data, and analyze exponential behavior using visual and contextual evidence. Whether used for in-class instruction, homework, test prep, or review, this worksheet provides both structure and flexibility for Algebra 2 teachers.

What’s Included:

• Six structured sections, labeled Part A–F
• Clear definitions of key vocabulary (e.g., growth factor, decay factor, asymptote)
• Warm-up with prerequisite review of exponents and function basics
• Identification of exponential growth and decay from equations
• Modeling exponential functions from verbal scenarios
• Graphing exponential functions with emphasis on intercepts, asymptotes, and end behavior
• Comparing exponential vs. linear and polynomial functions using tables and graphs
• Ten real-world application problems, including half-life, population growth, and depreciation
• Complete answer key
• 100% editable format (Word or Google Docs) for easy customization to your class needs

Common Core Alignment:
This worksheet supports the following High School Algebra standards:

• HSF.LE.A.1 – Model situations with linear vs. exponential functions
• HSF.LE.A.2 – Build exponential functions from graphs, tables, and context
• HSF.LE.A.3 – Compare exponential and polynomial growth
• HSF.IF.C.7.E – Graph exponential functions, showing intercepts and end behavior

Why Teachers Love It:

• Fully editable to fit your pacing or differentiation goals
• No prep required — ready to print or assign digitally
• Real-world focus enhances relevance and engagement
• Supports visual, numerical, and contextual understanding
• Works well for independent work, small groups, or sub plans

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