Graphing Exponential Functions | Notes, Guided Practice & Answer Key

⭐ Save time and engage your students with this complete, print-ready resource on graphing exponential functions! Whether you're introducing the topic for the first time or reviewing before a test, this 4-page worksheet has everything you need — from structured notes to independent practice — all in one place.

📌 WHAT'S INCLUDED

✅ Page 1 — Reference Notes (Sections 1–3)

• Definition and general form of exponential functions (f(x) = a · bˣ)
• Key vocabulary: initial value, base, domain, range, asymptote
• Side-by-side Growth vs. Decay comparison chart
• Transformation rules table (vertical stretch/compression, reflections, horizontal & vertical shifts)

✅ Page 2 — Step-by-Step Guided Example (Section 4)

• A 6-step graphing process students can reference and apply
• Fully worked example with table of values, graph, and key observations

✅ Page 3 — Practice Problems (6 Problems)

• 2-column layout with 6 unique functions to graph
• Each problem includes: identify a, b, h, k • circle Growth or Decay • complete a table of values • identify asymptote, domain, range, y-intercept, and end behavior • graph on a pre-made coordinate grid

✅ Page 4 — Complete Answer Key

• Fully solved with filled-in tables, graphed curves, and all properties labeled

📐 FUNCTIONS COVERED IN PRACTICE

1. f(x) = 2ˣ
2. f(x) = (1/2)ˣ
3. f(x) = 3 · 2ˣ
4. f(x) = 2ˣ + 3
5. f(x) = 4 · (1/2)ˣ
6. f(x) = −1 · 2ˣ

🎯 PERFECT FOR

• Algebra 2 or Pre-Calculus introduction to exponential functions
• Guided notes during direct instruction
• Independent or partner practice
• Sub plans (answer key included!)
• Test review or homework assignment
• Math intervention or tutoring sessions

📋 STANDARDS ALIGNMENT

Aligned to common Algebra 2 / HSF standards including:

• CCSS HSF-IF.C.7e — Graph exponential functions, showing intercepts and end behavior
• CCSS HSF-BF.B.3 — Identify the effect of transformations on graphs of functions
• CCSS HSF-LE.A.1 — Distinguish between situations that can be modeled with exponential functions

🖨️ PRINTING & FORMAT

• Format: PDF, 4 pages, US Letter size (8.5" × 11")
• Print single-sided or double-sided
• Black & white printer friendly
• Clean, professional layout with labeled grids and structured tables

💡 TIPS FROM THE TEACHER

Use Pages 1–2 as guided notes during your lesson, then assign Page 3 as classwork or homework. Keep Page 4 for yourself or share it digitally after students have completed the practice!