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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).

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Analysis and Applications

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  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!!!

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