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Suppose $f(x)$ is a function that has this property:

For all real numbers $a$ and $b$ such that $a

(A function with this property is called strictly convex.)

Given that $f(x)$ passes through $(-2,5)$ and $(3,4)$, what is the range of all possible values for $f(1)$? Express your answer in interval notation.

 Nov 23, 2020
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From the definition of convexity, the set of all possible values of f(1) is (-10/3,2/3).

 Dec 12, 2020

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