This preview shows pages 1–8. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: y = log 2 x . Properties of the graph of f ( x ) = log a x f ( x ) = log a x f ± 1 ( x ) = a x 1. Domain: 2. Range: 3. Intercept: 4. Asymptote: 5. increasing if decreasing if 6. points on the graph ex. Graph f ( x ) = log 3 ( x + 1) The Natural Logarithmic Function y = log e x = ln x if and only if Note the following: ln 1 = ln e = e ln x = ln( e x ) = If ln x = ln y , then ex. Evaluate: 1) e ln(2 x +3) = 2) ln ± 1 e ² = ex. Solve: ln( x 2 ± x ) = ln 6 ex. Graph and ±nd the domain and vertical asymptote of f ( x ): 1) f ( x ) = ln x 2) f ( x ) = ln( x ± 2) + 1 Practice f ( x ) = ln( ± x ) + 2 Common Logarithm Function y = log 10 x = log x if and only if ex. Evaluate: log 1 = log 10 = log 10000 = log 1 p 10 =...
View
Full
Document
This note was uploaded on 07/08/2011 for the course MAC 1140 taught by Professor Williamson during the Spring '08 term at University of Florida.
 Spring '08
 WILLIAMSON
 Calculus, Algebra

Click to edit the document details