The graph approximates the monthly average temperatures in degrees Fahrenheit in Austin, Texas. In this graph x

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The graph approximates the monthly average temperatures in degrees Fahrenheit in Austin, Texas. In this graph x represents the month, where x = 0 corresponds to July.image


(a) Is this a graph of an odd or even function? 


(b) June corresponds to x = -1 and August to x = 1. The average temperature in June is 83°F. What is the average temperature in August? 


(c) March corresponds to x = -4 and November to x = 4. According to the graph, how do their average temperatures compare? 


(d) Interpret what this type of symmetry implies about average temperatures in Austin.

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