Explanation Given: The functions, f ( x ) = x 3 − 9 x 2 , and g ( x ) = x − 9 . Concept Used: At the point of intersections two functions are equal. Zero Product rule: if a ⋅ b = 0 , then a = 0 or b = 0 Calculation: In order to find the intersection points of the function f ( x ) = x 3 − 9 x 2 , and g ( x ) = x − 9 , equate both the functions and solve for x -values. So, on setting f ( x ) = g ( x ) and solving for x , it gives f ( x ) = g ( x ) x 3 − 9 x 2 = x − 9 x 3 − 9 x 2 − x + 9 = 0 x

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Chapter 4.6, Problem 2TB

To determine

The x -coordinates of the points where the graph of f(x)=x3−9x2, and g(x)=x−9 intersects.

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Chapter 4.6, Problem 1TB

Chapter 4.6, Problem 3TB

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Chapter 4 Solutions

Calculus

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The x -coordinates of the points where the graph of f ( x ) = x 3 − 9 x 2 , and g ( x ) = x − 9 intersects.

Solution Summary: The author calculates the x-coordinates of the intersection points where the graph of f(x)=x

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The x -coordinates of the points where the graph of f(x)=x3−9x2, and g(x)=x−9 intersects.

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