## Solution for problem 2 Chapter 5.6

# If 1 and g are increasing functions on an interval I ~ .R, show that I + g is an

Introduction to Real Analysis | 3rd Edition

If 1 and g are increasing functions on an interval I ~ .R, show that I + g is an increasing function on I. If I is also strictly increasing on I, then I + g is strictly increasing on I.

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Artemis’ fertility connections - Assisted in childbirth - Worshipped as a multi-breasted mother goddess in Asia Minor (Polymastos “many breasted”) - Linked to the moon, hence a woman’s menstrual cycle - Responsible for overseeing the procreation of wild animals as Potnia Theron “Mistress of Wild Animals” Virginal Huntress - Hunting boots or sandals and wearing a tunic and carrying a hunting bow/arrows and a quiver or wielding a hunting spear - Seen as a chaste goddess, obviously pure Artemis myths involving a threat to her chastity - Orion is a mighty hunter who is clearing an island of wild animals as a favor to the king. But Artemis blocks his path and he angers her even more by trying to rape her. So she creates a

###### Chapter 5.6, Problem 2 is Solved

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If 1 and g are increasing functions on an interval I ~ .R, show that I + g is an