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13) Consider the graphs from Google Trends given in the image below. The blue li

ID: 2882441 • Letter: 1

Question

13) Consider the graphs from Google Trends given in the image below. The blue line represents the number of times the term "spring" is searched each month, while the red line represents the number of times the term "fall" is searched each month (I'll p a color version online for you). ost Values are given each month from 2004 through 2016. What's interesting though not surprising is that the word "spring" is searched for more in the spring while "fall" is searched for more in fall Compare search terms spring fall +Add term Interest over time Let f(x) be defined as the function which represents the smaller of the two values in month x. Would you consider the function f (x) to be continuous? This is a challenging questions. On the one hand, each individual graph looks continuous, but will switching between the two graphs affect the continuity? Also we're dealing with individual months: can a function defined on a discrete set be continuous Do the 3 Conditions of Continuity apply in this situation, or do we need the stronger Epsilon-Delta definition of Continuity? What is the Tietze Extension Theorem, and how does it play a role? wer the larger question of whet these questions to a er or not the function As a group investigate Then write a 1 page paper (250 words minimum) explaining your reasoning. (12 continuous points) s It Continuous (Yes/No Show your work on a separate sheet of paper: Do not iust write "Answer from Wolfram

Explanation / Answer

the don't have any dscontinuous point in the graph. So, it is continuous function.

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