{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2025-02-03T10:03:39.646Z","dateModified":"2025-11-26T03:57:50.942Z","typicalAgeRange":"11-18","educationalLevel":"BITSAT","assesses":"Mathematics - integral","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"integral"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"BITSAT"}],"name":"Quiz about integral","about":{"@type":"Thing","name":"Mathematics - integral"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About integral","text":"Consider the function $$ f(x) = \\frac{|x - 1|}{x^2} $$. Then $$ f(x) $$ is:}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"Check the first derivative of the function to determine intervals of increase or decrease."},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

Increasing in \$ (0, 1) \\cup (2, \\infty) \$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

Increasing in \$ (-\\infty, 0) \\cup (0, 1) \$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

Decreasing in \$ (-\\infty, 0) \\cup (2, \\infty) \$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

Decreasing in \$ (0, 1) \\cup (2, \\infty) \$

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

Decreasing in \$ (0, 1) \\cup (2, \\infty) \$

","comment":{"@type":"Comment","text":"Check the first derivative of the function to determine intervals of increase or decrease."},"answerExplanation":{"@type":"comment","text":""}}}]}

Consider the function \( f(x) = \frac{|x - 1|}{x^2} \). Then \( f(x) \) is:

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