1 / 10

6.1– Graphing Exponential Functions

6.1– Graphing Exponential Functions. Objective: TSW graph exponential functions and identify the domain and range of the function. Exponential Functions. A function is called an exponential function if it has a constant growth/decay factor .

gmclean
Download Presentation

6.1– Graphing Exponential Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. 6.1– Graphing Exponential Functions Objective: TSW graph exponential functions and identify the domain and range of the function.

  2. Exponential Functions • A function is called an exponential function if it has a constantgrowth/decay factor. • An exponential functions graph contains an asymptote – a line the graph approaches BUT never crosses over (a barrier in the graph)

  3. Examples of Exponential Functions • Populations tend to growth exponentially not linearly. • When an object cools (e.g., a pot of soup on the dinner table), the temperature decreases exponentially toward the ambient temperature. • Radioactive substances decay exponentially. • Viruses and even rumors tend to spread exponentially through a population (at first).

  4. Exponential Growth/Decay • If the factor b is greater than 1, then we call the relationshipexponential growth. • If the factor b is less than 1, we call the relationshipexponential decay. • The equation for an exponential relationship is given by • y = abx-h + k h = moves the graph left or right k = moves the graph up or down a = start amount If there is no “a” then a = 1 b = growth/decay factor b is ALWAYS the number with the exponent

  5. To Graph an Exponential Function: • Identify the “k” value (this is your asymptote) - put a dotted line where your asymptote occurs. • Identify the “a” value and put your pencil on the y-axis (do not draw a point yet) • Use the “h” and “k” value to translate the graph from a. • Sketch the graph as either growth or decay. Exponential Growth Exponential Decay

  6. Examples: Graph the following exponential functions. 1. y = 0.25(3)x 2. f(x) = 5(0.5)x

  7. Examples: Graph the following exponential functions. 3. y = 0.75x 4. f(x) = 4x

  8. 5. y = 2x+2 - 3 6. y = 2(0.25)x-1 + 2

  9. 7. y = 0.75x+1 8. f(x) = 2(4)x + 3

  10. Homework… pgs. 479-480 #’s 1-6(all), 8,13,15,16,18, 21-23(all)

More Related