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Learning Goal
Part of: Analyze functions using different representations — 6 of 10 cluster items
Graph exponential, logarithmic, and trigonometric functions
HSF.IF.C.7.e
**HSF.IF.C.7.e**: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
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HSF.IF.C.7.e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
What you'll learn
- Graph exponential functions f(x) = a·bˣ, identifying the y-intercept, horizontal asymptote, domain, range, and growth/decay behavior
- Distinguish between exponential growth (b > 1) and exponential decay (0 < b < 1) from both the equation and the graph
- Graph logarithmic functions f(x) = logₐ(x), identifying the x-intercept, vertical asymptote, domain, range, and end behavior
- Recognize the exponential and logarithmic functions as inverses and connect their graphs via reflection over y = x
- Graph trigonometric functions y = A sin(Bx) + D and y = A cos(Bx) + D, identifying amplitude, period, and midline
- Use the parameters A, B, and D to transform the parent sine/cosine graph and label key features
Prerequisites
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises