Lesson 8-6/8-7/8-8 Exponential Functions. Geometric Sequences, Exponential Equations, Exponential Growth and Decay. A look at the past…. Consider the table below… What is going on in the table? Adding 4 each time This is a linear function! y = 4x - 1. A look at TODAY….

ByView Today exponential functions PowerPoint (PPT) presentations online in SlideServe. SlideServe has a very huge collection of Today exponential functions PowerPoint presentations. You can view or download Today exponential functions presentations for your school assignment or business presentation. Browse for the presentations on every topic that you want.

Exponential Functions. The exponential function f with base b is defined by f (x) = b x or y = b x Where b is a positive constant other than and x is any real number. /. Base is 2. Base is 10. Base is 3. Definition of the Exponential Function.

Exponential Functions. Our presentation today will consists of two sections. Section 1: Exploration of exponential functions and their graphs. Section 2: Discussion of the equality property and its applications. First, let’s take a look at an exponential function.

Exponential Functions. Section 1.3. Exponential Functions. What real-world situations can be modeled w ith exponential functions???. Rules for Exponents. The Number e. Basic Practice Problems. Graph the function. State its domain, range, and intercepts. y - int :. x - int :.

Exponential Functions. In this section, we will study the following topics: Evaluating exponential functions with base a Graphing exponential functions with base a Evaluating exponential functions with base e Graphing exponential functions with base e. Transcendental Functions.

Exponential Functions. The exponential function f with base b is defined by: f ( x ) = b x or y = b x Where b is a positive constant other than 1 and x is any real number. Definition of the Exponential Function. Base is 2. Base is 10. Base is 3.

Exponential Functions. Exponential function. A linear relationship is one in which there is a fixed rate of change (slope). An exponential relationship is one in which for a fixed change in x , there is a fixed percent change in y. Percent Change.

Exponential Functions. Basic Exponential Function. f(x)=ac bx. exponential function in base c asymptote: x-axis. a affects the vertical stretch a is also the initial value a can also flip the function. b affects the horizontal stretch b is the period.

Exponential Functions. If a > 0, a ≠ 1, f ( x ) = a x is a continuous function with domain R and range (0, ∞ ). In particular, a x > 0 for all x . If 0 < a < 1, f ( x ) = a x is a decreasing function . If a > 1, f is an increasing function.

Exponential Functions. Definition of Exponential Functions. The exponential function f with a base b is defined by f(x) = b x where b is a positive constant other than 1 (b > 0, and b ≠ 1) and x is any real number. So, f(x) = 2 x , looks like:. Graphing Exponential Functions.

Exponential Functions. With your Graphing Calculator graph each of the following. y = 2 x. y = 3 x. y = 5 x. y = 1 x. Determine what is happening when the base is changing in each of these graphs. y = 3 x. y = 2 x. y = 3 x. y = 5 x. y = 2 x. y = 1 x. y = 3 x. y = 5 x. y = 2 x.