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Calculus temperature functions

Celsius and Fahrenheit temperatures, C and F, are related by a linear equation of the form C= m F + b, and its graph is a straight line in the (F,C), plane that passes through two known points (F,C) = (32,0) and (212,100) for the standard freezing and boiling points of water, respectively. Find the equation of the above line giving C in terms of F. [Remember, you must show your work.]

Sketch a graph of y= x/(x-1) for -5 < x < 5, -5 < y < 5. And, find its intercepts and vertical and horizontal asymptotes.


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