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Suppose \(f(x)\) is a function that has this property: For all real numbers \(a\) and \(b \) such that \(a , the portion of the graph of \(y=f(x)\) between \(x=a\) and \(x=b\) lies below the line segment whose endpoints are \((a,f(a))\) and \((b,f(b))\). (A function with this property is called strictly~convex.) Given that \(f(x)\) passes through \((-2,5)\) and \((2,9)\), what is the range of all possible values for \(f(1)\)? Express your answer in interval notation.

 Apr 9, 2020
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The range of all possible values of f(1) is (-4,3).

 Apr 9, 2020

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