Determine Where the Graph Of $f(x)=\ln |x-4|$ Is Concave Upward and Where It Is Concave Downward

question 148

Multiple Choice

Determine where the graph of $f(x) =\ln |x-4|$ is concave upward and where it is concave downward. Also, find all inflection points of the function.

• A) concave downward: \((-\infty,-4)\) and \((4, \infty)\) , concave upward: \((-4,0)\) and \((0,9)\) ; inflection points: \((-4,0)\) and \((4,0)\)
• B) concave downward: \((-4,0)\) and \((0,9)\) , concave upward: \((-\infty,-4)\) and \((4, \infty)\) ; inflection points: \((-4,0)\) and \((4,0)\)
• C) concave downward: \((-\infty, 4)\) and \((4, \infty)\) , concave upward: nowhere; inflection points: none
• D) concave downward: nowhere, concave upward: \((-\infty, 4)\) and \((4, \infty)\) ; inflection points: none

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