Lecture 10 section 4.1 and 4.2 exponential functions

Click here to load reader

download Lecture 10   section 4.1 and 4.2  exponential functions

of 21

  • date post

    24-May-2015
  • Category

    Technology

  • view

    125
  • download

    2

Embed Size (px)

Transcript of Lecture 10 section 4.1 and 4.2 exponential functions

  • 1. MATH 108 Sections 4.1-4.2 Exponential Functions

2. The term 27 is called a power. If a number is in exponential form, the exponent represents how many times the base is to be used as a factor. 7 Exponent Base 2 3. 3 2010 Pearson Education, Inc. All rights reserved RULES OF EXPONENTS Let a, b, x, and y be real numbers with a > 0 and b > 0. Then ,x y x y a a a + = , x x y y a a a = ( ) , x x x ab a b= ( ) , yx xy a a= 0 1,a = 1 1 . x x x a a a = = 4. 10 2010 Pearson Education, Inc. All rights reserved EXAMPLE 6 Sketching Graphs Use transformations to sketch the graph of each function. ( ) 3 4x f x = a. State the domain and range of each function and the horizontal asymptote of its graph. ( ) 1 3x f x + =b. ( ) 3x f x = c. ( ) 3 2x f x = +d. 5. Note that the graph of ex is between 2x and 3x , because 2