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Definitions 1. The exponential function with base a is 2. A real number is rational if Rules for Exponents a" = 3. A real number is irrational if 4. The number e is an irrational number. It is approximately equal to 5. The natural exponential function is 6. The function that is a model for exponential growth is 7. The function that is a model for exponential decay is a" a" = m n = = = an = (ab)" = am/n = range R. =

Definitions 1. The exponential function with base a is 2. A real number is rational if Rules for Exponents a" = 3. A real number is irrational if 4. The number e is an irrational number. It is approximately equal to 5. The natural exponential function is 6. The function that is a model for exponential growth is 7. The function that is a model for exponential decay is a" a" = m n = = = an = (ab)" = am/n = range R. =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Definitions 1. The exponential function with base a is 2. A real number is rational if 3. A real number is irrational if 4. The number e is an irrational number. It is approximately equal to 5. The natural exponential function is 6. The function that is a model for exponential growth is 7. The function that is a model for exponential decay is Rules for Exponents a" = a" a" = am a" = 1 = (ab)" = If a > 1 then the graph is A typical graph when a > 1 looks like: am/n R. Properties of Exponential Functions: y = f(x) = a*, a>0 The y-intercept is . The horizontal asymptote is If a < 1 then the graph is A typical graph when a < 1 looks like:
Transcribed Image Text:Definitions 1. The exponential function with base a is 2. A real number is rational if 3. A real number is irrational if 4. The number e is an irrational number. It is approximately equal to 5. The natural exponential function is 6. The function that is a model for exponential growth is 7. The function that is a model for exponential decay is Rules for Exponents a" = a" a" = am a" = 1 = (ab)" = If a > 1 then the graph is A typical graph when a > 1 looks like: am/n R. Properties of Exponential Functions: y = f(x) = a*, a>0 The y-intercept is . The horizontal asymptote is If a < 1 then the graph is A typical graph when a < 1 looks like:
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