{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2024-10-04T08:19:00.934Z","dateModified":"2024-10-04T08:19:00.934Z","typicalAgeRange":"11-18","educationalLevel":"SRMJEEE","assesses":"Mathematics - Functions","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Functions"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"SRMJEEE"}],"name":"Quiz about Functions","about":{"@type":"Thing","name":"Mathematics - Functions"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Functions","text":"Let $$f:R\\rightarrow R$$ be defined by $$f(x) = \\begin{cases} k-2x,x\\le-1\\\\ 2x+3,x\\gt-1 \\end{cases}$$ . If f(x) has a local minimum at x=- 1, then a possible value of k is}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

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

\$-\\frac{1}{2}\$

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

-1

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

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

-1

","comment":{"@type":"Comment","text":"\"\""},"answerExplanation":{"@type":"comment","text":"The correct option is (C): -1"}}}]}

Let \(f:R\rightarrow R\) be defined by \(f(x) = \begin{cases} k-2x,x\le-1\\ 2x+3,x\gt-1 \end{cases}\). If f(x) has a local minimum at x=- 1, then a possible value of k is

The Correct Option is C

Solution and Explanation

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