Prove the following proposition. Proposition 1 Let I CR be an interval and f,g two real-valued functions defined on I. As- sume that f and g are convex. Then: (a) The function f + g is convex. (b) If...

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Prove the following proposition.<br>Proposition 1<br>Let I CR be an interval and f,g two real-valued functions defined on I. As-<br>sume that f and g are convex. Then:<br>(a) The function f + g is convex.<br>(b) If c > 0, then c f is convex.<br>(c) If c < 0, then c f is concave.<br>C<br>

Extracted text: Prove the following proposition. Proposition 1 Let I CR be an interval and f,g two real-valued functions defined on I. As- sume that f and g are convex. Then: (a) The function f + g is convex. (b) If c > 0, then c f is convex. (c) If c < 0,="" then="" c="" f="" is="" concave.="">

Jun 04, 2022

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Prove the following proposition. Proposition 1 Let I CR be an interval and f,g two real-valued functions defined on I. As- sume that f and g are convex. Then: (a) The function f + g is convex. (b) If...

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