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If given a graph of a logarithmic/exponential function, but not given any information...

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foxwit | Student, Undergraduate | Salutatorian

Posted July 20, 2013 at 4:05 AM via web

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If given a graph of a logarithmic/exponential function, but not given any information regarding graph's characteristics, list the steps one would take in order to come up with an equation to define given graph.

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aruv | High School Teacher | Valedictorian

Posted July 20, 2013 at 4:26 AM (Answer #1)

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If  graph of a logarithmic/exponential function is given .We can find the domain and range of the function whose graph is given .

To define graph of an equation at least following steps can help

(i) Domain where graph is defined.

(ii) Range what will be the possible maximum or minimum values of the equation.

(iii) Graph posses through origin.

(iv) Tangents at the origin if exist .

(v) Determine possible asymptotes if any.

(vi) Interval in which graph changes its nature positive to negative or negative to positive.This step will help in finding criticall points.

(vii) whethe curve is concave or convex.

(viii) Fnally axis of symmetry if any.

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