L20 - Lecture 20: Section 3.1 Exponential Functions Def. An...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lecture 20: Section 3.1 Exponential Functions Def. An exponential function with base u1D44E is a function of the form where u1D465 is a real number, u1D44E > 0 and u1D44E = 1. ex. Let u1D453 ( u1D465 ) = 4 u1D465 . Find the following: 1) u1D453 ( 2) 2) u1D453 uni0028.alt03 3 2 uni0029.alt03 The domain of u1D453 ( u1D465 ) = u1D44E u1D465 : NOTE: Be sure to see the difference between the power function u1D453 ( u1D465 ) = u1D465 4 and the exponential function u1D453 ( u1D465 ) = 4 u1D465 Graphs of Exponential Functions ex. u1D453 ( u1D465 ) = 2 u1D465-2-1 1 2 3 x y ex. u1D454 ( u1D465 ) = uni0028.alt03 1 2 uni0029.alt03 u1D465-2-1 1 2 3 x y NOTE: The graph of u1D454 ( u1D465 ) is the reection of u1D453 across the u1D466-axis since u1D454 ( u1D465 ) = uni0028.alt03 1 2 uni0029.alt03 u1D465 = Properties of Exponential Functions u1D453 ( u1D465 ) = u1D44E u1D465 , u1D44E > 1 u1D453 ( u1D465 ) = u1D44E u1D465 , < u1D44E < 1 (or u1D453 ( u1D465 ) = u1D44E u1D465 , u1D44E > 1) 1. Domain: 1. Domain: 2. Range: 2. Range: 3. Intercept(s): 3. Intercept(s): 4. Asymptote: 4. Asymptote: 5. u1D453 ( u1D465 ) is 5. u1D453 ( u1D465 ) is and one-to-one and one-to-one 6. Points uni0028.alt03 1 , 1 u1D44E uni0029.alt03 , (1 , u1D44E ) are on each graph Using Translations to Graph...
View Full Document

Page1 / 12

L20 - Lecture 20: Section 3.1 Exponential Functions Def. An...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online