http://www.ck12.org Chapter 3. Logs and Exponents
For 9-11, use the logistic functiong(x) = 1 + 425 · 0. 2 x.
- What is the carrying capacity of the function?
- What is they-intercept of the function?
- Use your answers to 9 and 10 along with at least two points on the graph to make a sketch of the function.
For 12-14, use the logistic functionh(x) = 1 + 2 ·^40. 68 x. - What is the carrying capacity of the function?
- What is they-intercept of the function?
- Use your answers to 12 and 13 along with at least two points on the graph to make a sketch of the function.
- Give an example of a logistic function that is decreasing (models decay). In general, how can you tell from the
equation if the logistic function is increasing or decreasing?
Exponential functions demonstrate applications of geometric growth and decay in the real world. After practicing
with the rules and procedures to gain fluency with exponents and scientific notation, you transferred your knowledge
to logarithms and their properties. Lastly, you explored how a new type of function, the logistic function, improves
on exponential growth models for real world application.