Explanation Given Information: The provided function is f ( x ) = ln x and the provided statement is “If f ( x ) < 0 , then 0 < x < 1 ”. Consider the provided function, f ( x ) = ln x Consider the graph of f ( x ) = ln x , It can be seen that as 0 < x < 1 , the value of f ( x ) = ln x is less than 0. Now, check the value of f ( x ) for the value of x in the range of 0 < x < 1 . Compute the value of f ( x ) by substituting x = 0.25 in the above function as, f ( x ) = ln x f ( 0.25 ) = ln ( 0.25 ) ≈ − 1

Calculus: An Applied Approach (MindTap Course List)

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ISBN: 9781305860919

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 4.4, Problem 96E

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Whether the statement “If f(x)<0, then 0<x<1” is true or false for the given function f(x)=lnx and also give a reason or an example in support of the answer.

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Chapter 4.4, Problem 95E

Chapter 4.4, Problem 97E

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Whether the statement “If f ( x ) < 0 , then 0 < x < 1 ” is true or false for the given function f ( x ) = ln x and also give a reason or an example in support of the answer.

Solution Summary: The author explains whether the statement "If f(x)=mathrmlnx is true or false for the given function.

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Whether the statement “If f(x)<0, then 0<x<1” is true or false for the given function f(x)=lnx and also give a reason or an example in support of the answer.

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Whether the statement “If f ( x ) &lt; 0 , then 0 &lt; x &lt; 1 ” is true or false for the given function f ( x ) = ln x and also give a reason or an example in support of the answer.

Solution Summary: The author explains whether the statement "If f(x)=mathrmlnx is true or false for the given function.

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Whether the statement “If f(x)<0, then 0<x<1” is true or false for the given function f(x)=lnx and also give a reason or an example in support of the answer.

Want to see the full answer?

Chapter 4 Solutions

Whether the statement “If f ( x ) < 0 , then 0 < x < 1 ” is true or false for the given function f ( x ) = ln x and also give a reason or an example in support of the answer.