1 / 9

Analysis and Applications

Analysis and Applications. in Section 3.4b. Last class we discussed how the graph of every logarithm func. is a stretch or shrink of the graph of the natural logarithm func… Now let’s analyze our new function!!!. Domain:. Range: All reals. (b, 1). Continuous. Increasing on D. (1, 0).

asta
Télécharger la présentation

Analysis and Applications

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. Analysis and Applications in Section 3.4b

  2. Last class we discussed how the graph of every logarithm func. is a stretch or shrink of the graph of the natural logarithm func… Now let’s analyze our new function!!! Domain: Range: All reals (b, 1) Continuous Increasing on D (1, 0) No Symmetry Unbounded No Local Extrema No Horizontal Asymptotes E.B.: V.A.:

  3. Quality Practice Problems Graph the given function, and analyze it for domain, range, continuity, inc./dec. behavior, asymptotes, and end behavior. Domain: Range: Continuous Always Decreasing Asy: E.B.:

  4. Quality Practice Problems Graph the given function, and analyze it for domain, range, continuity, inc./dec. behavior, asymptotes, and end behavior. Domain: Range: Continuous Always Increasing Asy: E.B.:

  5. Quality Practice Problems The Richter scale magnitude R of an earthquake is based on the features of the associated seismic wave and is measured by where a is the amplitude in micrometers, T is the period in seconds, and B accounts for the weakening of the seismic wave due to the distance from the epicenter. compute the earthquake magnitude R for each set of values. (a)

  6. Quality Practice Problems The Richter scale magnitude R of an earthquake is based on the features of the associated seismic wave and is measured by where a is the amplitude in micrometers, T is the period in seconds, and B accounts for the weakening of the seismic wave due to the distance from the epicenter. compute the earthquake magnitude R for each set of values. (b)

  7. Whiteboard Problems… The relationship between intensity I of light (in lumens) at a depth of x feet in Lake Superior is given by What is the intensity at a depth of 10 ft? Plug in x = 10, solve for I: lumens

  8. Whiteboard Problems… Solve for x: Solve graphically!!!

  9. Whiteboard Problems… Solve for x: Solve graphically!!!

More Related