Algebra & Trigonometry

237 2.3 Functions 4 A.M. 8 12 Noon 16 20 P.M. 24 40° 50° 60° 70° x y Hours Temperature Temperature in Bratenahl, Ohio 95. Temperature The graph shows temperatures on a given day in Bratenahl, Ohio. (a) At what times during the day was the temperature over 55°? (b) When was the temperature at or below 40°? (c) Greenville, South Carolina, is 500 mi south of Bratenahl, Ohio, and its temperature is 7° higher all day long. At what time was the temperature in Greenville the same as the temperature at noon in Bratenahl? (d) Use the graph to give a word description of the 24-hr period in Bratenahl. 96. Drug Levels in the Bloodstream When a drug is taken orally, the amount of the drug in the bloodstream after t hours is given by the function y = ƒ1t2, as shown in the graph. (a) How many units of the drug are in the bloodstream at 8 hr? (b) During what time interval is the level of the drug in the bloodstream increasing? decreasing? (c) When does the level of the drug in the bloodstream reach its maximum value, and how many units are in the bloodstream at that time? (d) When the drug reaches its maximum level in the bloodstream, how many additional hours are required for the level to drop to 16 units? (e) Use the graph to give a word description of the 12-hr period. 0 4 8 12 16 32 48 64 t y Hours Units Drug Levels in the Bloodstream y = f(t) For each function graphed, give the minimum and maximum values of ƒ1x2 and the x-values at which they occur. 97. 98. 99. 100. 0 –1 1 3 5 –2 –4 2 4 –5 –3 x y = f(x) f 0 –1 1 3 5 –3 –5 1 3 5 –5 –3 f x y = f(x) 0 –1 1 3 5 –3 –5 1 3 5 –5 –3 x y = f(x) f 0 –1 1 3 5 –2 –4 2 4 –5 –3 x y = f(x) f

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