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.

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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!!! (1, 0) (b, 1) Domain:Range: All reals ContinuousIncreasing on D No SymmetryUnbounded No Local ExtremaNo Horizontal Asymptotes V.A.: E.B.:

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.:

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

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)

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)

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

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

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