nvestigate the one-parameter family of functions. Assume that a is positive.  f(x)=x−ax Select the response which shows the correct:   • graph of f(x) using three different values for a, • description of the critical points of f and how they appear to move as a increases, • x-coordinates of the critical point(s) of f in terms of a.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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nvestigate the one-parameter family of functions. Assume that a is positive.

 f(x)=x−ax

Select the response which shows the correct:

 

• graph of f(x) using three different values for a,
• description of the critical points of f and how they appear to move as a increases,
• x-coordinates of the critical point(s) of f in terms of a.
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