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Math 15800 Notes Week 2 APPLICATION OF FUNCTIONS Example 1.) A ball is dropped and its height t seconds after dropping is modeled by t f(t) = - +11 a.) Find Domain: [0,∞) >>Because t means time after ball was dropped, t can’t be negative! b.) What is the height of the ball 1 second after dropping 12 f(1) = - +11 =-1+11 =10 height c.) When is the ball at height 2 2 f(t) = 2 - t +11 = 2 2 11=2+ t 2 0= t -9 t can’t 0=(t+3) 0=(t-3) be negativ