Pre-Calculus 12 · Algebra
Exponential Functions
Exponential functions grow — or decay — by a constant factor per unit time. Doubling time, half-life, compound interest: all are governed by y = ab^x. The horizontal asymptote at y = 0 (for decay) reflects the fact that the quantity approaches zero but never reaches it. Solving ab^x = c by matching bases or taking logarithms bridges algebra and real-world modeling.
WHAT STUDENTS WILL LEARN
✓Graph exponential functions y = ab^x and describe their properties
✓Identify the base, growth/decay factor, and horizontal asymptote
✓Apply exponential functions to growth and decay models: population, radioactive decay, compound interest
✓Solve exponential equations by matching bases
BUILDS ON
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