'Natural exponential function' presentation slideshows

Chapter 6

2.55k views • 164 slides

CHAPTER 5 SECTION 5.4 EXPONENTIAL FUNCTIONS: DIFFERENTIATION AND INTEGRATION

823 views • 54 slides

Lesson 6 MI/Vocab

5.2 Exponential Functions. Objective. Graph and identify transformations of exponential functions Use exponential functions to solve application problems. Do Now Copy and complete the following table. Then plot the points to graph each function. What is the domain and range of each function?.

432 views • 30 slides

4-6

The Natural Base, e. 4-6. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Holt Algebra 2. x=7 x=12.5 No solution x=2 x=2 x=-4.5 x=29 x=-1/3 x=7.5 x=4 x=17/16 x=4 x=6. x=-2 x=53 x=7 No solution X=3.5 x=11/4 x=-2 x=28 x=9 No solution x=2

547 views • 29 slides

MAT 171 Precalculus Algebra T rigsted - Pilot Test Dr. Claude Moore - Cape Fear Community College

MAT 171 Precalculus Algebra T rigsted - Pilot Test Dr. Claude Moore - Cape Fear Community College. CHAPTER 5: Exponential and Logarithmic Functions and Equations. 5.1 Exponential Functions 5.2 The Natural Exponential Function 5 .3 Logarithmic Functions 5 .4 Properties of Logarithms

463 views • 27 slides

Chapter 4

Chapter 4. 4-6 The Natural base, e. Quiz#1. Express each as a single logarithm. 1. Simplify. 3 4. 5. Quiz#1. Solve. 6 . 7 . 8 . lo g7 ( 5 x+ 3 )= 3 9 . log ( 3 x + 1 ) - log 4 = 2 10. lo g4 ( x- 1)+ lo g4 (3 x- 1)=2. Objectives.

399 views • 27 slides

Factoring Practice (5 questions)

Factoring Practice (5 questions). Factoring Practice (Answers). Exponential Functions and Their Graphs Sections 7-1,2,3. Objectives. I can recognize growth or decay exponential equations I can graph exponential growth and decay parent functions. Definition of Exponential Function.

358 views • 24 slides

SECTION 5.3

SECTION 5.3. THE NATURAL EXPONENTIAL FUNCTION. THE NATURAL EXPONENTIAL FUNCTION. Since ln is an increasing function, it is one-to-one and, therefore, has an inverse function. We denote this by: exp Thus, according to the definition of an inverse function,. THE NATURAL EXPONENTIAL FUNCTION.

327 views • 24 slides

Properties of Logarithms

Properties of Logarithms. 1. log a 1 = 0 since a 0 = 1. 2. log a a = 1 since a 1 = a. 3. log a a x = x and a log a x = x inverse property. 4. If log a x = log a y , then x = y . one-to-one property. Examples : Solve for x : log 6 6 = x.

444 views • 23 slides

Lesson 3.1, page 376 Exponential Functions

619 views • 21 slides

Section 3.1 Vocabulary

252 views • 20 slides

6.6 The Natural Base, e

6.6 The Natural Base, e. Objectives: Evaluate natural exponential and natural logarithmic functions. The natural base, e, is used to estimate the ages of artifacts and to calculate interest that is compounded continuously. The Natural Exponential Function

465 views • 19 slides

Chapter 4

Chapter 4. Exponential and Logarithmic Functions. Definition of Exponential Function. Properties of Exponents. Figure 4.3: Characteristics of the Exponential Functions y = a -x and y = a x ( a >1). Limit Definition of e. Figure 4.6: Types of Population Growth Models.

285 views • 17 slides

Chapter 5 Exponential and Logarithm Functions

Chapter 5 Exponential and Logarithm Functions. Do Now!!! ?. Sketch the graphs of on the same coordinate plane. Compare the two graphs. Solution:. the graphs are both increasing the graphs both intersect the point (0,1)

477 views • 16 slides

Exponential Functions

Exponential Functions. L. Waihman 2002. A function that can be expressed in the form and is positive , is called an Exponential Function. Exponential Functions with positive values of x are increasing, one-to-one functions.

417 views • 15 slides

Logarithmic Functions

Logarithmic Functions. By: Melissa Meireles & Noelle Alegado. Section 5.1 The Natural Logarithmic Function: Differentiation. The natural logarthmic function is defined by: ln x = ? 1/t dt x > 0 The natural logarithmic function has the following properties:

317 views • 13 slides

Notes Over 5.1

Notes Over 5.1. Graphing Exponential Functions. Graph both functions on the same graph. A larger base makes it increase faster. Notes Over 5.1. Graphing Exponential Functions. Graph both functions on the same graph. A larger base makes it decrease faster. Notes Over 5.1.

219 views • 11 slides

Exponential Functions

Exponential Functions. Section 3.1. Objectives. Evaluate an exponential function at a given point. Determine the equation of an exponential function given a point or two points. Graph an exponential function. State the domain and range of an exponential function.

283 views • 9 slides

Section 7.2

Section 7.2. The Natural Exponential Function. THE NATURAL EXPONENTIAL FUNCTION. Definition : The inverse of the one-to-one natural logarithmic function is the natural exponential function defined by y = exp( x ) if, and only if, ln y = x.

186 views • 9 slides

The Natural Exponential Function

The Natural Exponential Function. Definition. The inverse function of the natural logarithmic function f(x) = ln x is called the natural exponential function and is denoted by f -1 (x) = e x y = e x if and only if x = ln y ln (e x ) = x e lnx = x.

204 views • 8 slides