106) The graph shows the number of gallons (in millions), G, of water entering a water treatment plant t hr after midnight on a certain day. 24 Amount of Water Entering a Water Treatment Plant 2 4 6 8 10 12 14 16 18 20 22 Hours after midnight 12 10 8 6 4 2 Millions of gallons t G a) Identify the domain and range of this function. b) How many gallons of water enter the facility at noon? At 10 P.M.? c) At what time did the most water enter the treatment plant? How much water entered the treatment plant at this time? d) At what time did the least amount of water enter the treatment plant? e) Call this function G, fi nd G(18), and explain what it means in the context of the problem. 105) The graph shows the amount, A, of ibuprofen in Sasha’s bloodstream t hr after she takes two tablets for a headache. 1 t f f t 1 2 5 ft t f t t 5 5 25 2 15 1 5 t A a) How long after taking the tablets will the amount of ibuprofen in her bloodstream be the greatest? How much ibuprofen is in her bloodstream at this time? b) When will there be 100 mg of ibuprofen in Sasha’s bloodstream? c) How much of the drug is in her bloodstream after 4 hr? d) Call this function A. Find A(8), and explain what it means in the context of the problem. R1) What is the difference between a relation and a function? R2) Are all functions considered to be relations? R3) How do you determine if a graph represents a function? R4) Is (a, b) an ordered pair of f (b) a or f (a) b? R5) If h(3) 7, is 3 in the domain or range of the function? R6) Which objective is the most diffi cult for you? Group Activity – The Group Activity can be found online on Connect. www.mhhe.com/messersmith SECTION 4.5 Introduction to Functions 213
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