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Question 504851: I have a test come in Please! help,ty
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Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! A: March 15 would correspond to roughly x = 74 (assuming x = 1 is the beginning of the year) because March 15 is usually the 74th day of the year (excluding leap years). To find f(74), replace x with 74 and use your calculator to evaluate the expression f(74); you should obtain roughly 8.4 degrees Fahrenheit.
B: Set f(x) = 40 and solve. Remember to pick the solution that corresponds to a day between January and June.
C: Since the sine of our argument is between -1 and 1, the maximum temperature occurs when the sine is 1 (resulting in f(x) = 37*1 + 25 = 62) and the minimum occurs when the sine is -1 (resulting in f(x) = 37*(-1) + 25 = -12). Hence, the minimum and maximum temperatures are -12 and 62 (degrees Fahrenheit). We do not even need to use calculus on this one.
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