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Consider the plot below that shows the average temperature in the atmosphere as a function of altitude. The image is from https://www.weather . gov/jetstream/layers. Thermosphere

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Consider the plot below that shows the average temperature in the atmosphere as a function of altitude. The image is from https://www.weather . gov/jetstream/layers. Thermosphere Mesosphere Bratopause 31 30 Stratosching Treporting Troposphere 1. Let h represent altitude in kilometers and T() be the average temperature (in degrees Celsius) of the atmosphere at altitude h. I claim that 7 is a function of h but the plot below fails the vertical line test. How can it be true that T(h) is a function? 2. Estimate T'(75). 3. Interpret the value of T'(75). That is, say what T'(75) means. (It might help to first determine what the units of T'(75) are.) 4. From the plot, what seems to be a deciding factor on how scientists determine what should be considered a different layer of the atmosphere

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