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Suppose \(f(x)\) is a function that has this property: For all real numbers a and b such that a \(y=f(x)\) 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.

 Mar 2, 2020
 #1
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The answer is (-\(\infty\),8)

 

coolcoolcool

 Mar 3, 2020

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