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Logarithmic Functions with Domain, Range, Intercept and Vertices

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NO CALCULATOR allowed: Use techniques of transformation and rules of logarithms to find domain, range, intercepts and the equation of the vertical asymptote for the following function:

f(x) = log 5 (x + 2)

a) What action was used to transform y = log 5 (x) into the new function?

b) Find the Domain of the new function:

c) Find its Range:

e) Provide the coordinates of its x-intercept:

f) Find the equation of the Vertical Asymptote:

g) What are the coordinates of the y-intercept of the new function?

h) Graph:


Solution Summary

Logarithmic functions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.