1 / 15

SFM Productions Presents:

A comprehensive homework assignment covering logarithmic functions and their graphs, including properties, equations, intercepts, asymptotes, and domain/range calculations.

wellerm
Télécharger la présentation

SFM Productions Presents:

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. SFM Productions Presents: Another saga in your continuing Pre-Calculus experience! 3.2 Logarithmic Functions and their Graphs

  2. Homework for section 3.2 p234 #7-31, 37-41, 51-65, 85-91, 95, 97

  3. exponential horizontal Asymptote y = 0 vertical asymptote x = 0 logarithmic

  4. A logarithmic function with base “a”: is denoted by: if and only if:

  5. A logarithm is an exponent. A logarithm is an exponent. A logarithm is an exponent. A logarithm is an exponent. A logarithm is an exponent. A logarithm is an exponent. exponent. is logarithm

  6. The two equationsare equivalent… Use one to solve the other…and use the other to solve the one…depending upon which one you need to solve. is the same as: is the same as: is the same as: is the same as: is the same as: is the same as:

  7. Properties of Common Logarithms logarithmic exponential All this stuff works with e and ln, too.

  8. Properties of Natural Logarithms logarithmic exponential

  9. Another Property of Common and Natural Logarithms

  10. For all: f(x) = logax Domain: Range: Intercept: VA: Increasing: Decreasing

  11. Shifting f(x) = log2x f(x) = log2x + 3 What is new asymptote??? f(x) = log2x - 4 What is new asymptote???

  12. Shifting f(x) = log2x f(x) = log2(x + 3) What is new asymptote??? f(x) = log2 (x - 4) What is new asymptote???

  13. Your favorite…or is it mine??? Domain On your calculators, do: What can you deduce from this??? You can’t take the log of a negative number, or 0. Common or Natural NCD

  14. Finding domains of log functions…

  15. Go! Do!

More Related