Explanation Given: f ( x ) = x ( x + 2 ) ( x − 3 ) Calculation: To solve the function x ( x + 2 ) ( x − 3 ) ≥ 0 Step 1: Find the key or critical value. To find the key or critical values, set the equation equal to zero and solve. x ( x + 2 ) ( x − 3 ) = 0 ∴ x = − 2 , 0 a n d 3 Step 2: Use the key/critical values found in step 1 to divide the number line into sections

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

4th Edition

ISBN: 9781319312886

Author: Rogawski, Jon, Adams, Colin, FRANZOSA, Robert

Publisher: W. H. Freeman

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Question

Chapter 1.7, Problem 25E

To determine

The intervals on which the function f(x)=x(x+2)(x−3) is positive by plotting a graph.

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Chapter 1.7, Problem 24E

Chapter 1.7, Problem 26E

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Chapter 1 Solutions

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

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The intervals on which the function f ( x ) = x ( x + 2 ) ( x − 3 ) is positive by plotting a graph .

Solution Summary: The author explains how to solve the function f(x) = x (x+2)/x-3)ge 0 by plotting a graph.

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The intervals on which the function f(x)=x(x+2)(x−3) is positive by plotting a graph.

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Chapter 1 Solutions