미적분학 5판 솔루션 (Calculus 5th ed , James Stewert) (구매자 판매중지)

Stewart Calculus ET 5e 0534393217;1. Functions and Models; 1.1 Four Ways to Represent a Function

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1. (a) The point ( 1, 2 ) is on the graph of f , so f ( 1)〓 2 . (b) When x〓2 , y is about 2.8 , so f (2) 2.8 . (c) f (x)〓2 is equivalent to y〓2 . When y〓2 , we have x〓 3 and x〓1 . (d) Reasonable estimates for x when y〓0 are x〓 2.5 and x〓0.3 . (e) The domain of f consists of all x values on the graph of f . For this function, the domain is 3 x 3 , or 3,3 . The range of f consists of all y values on the graph of f . For this function, the range is 2 y 3 , or 2,3 . (f) As x increases from 1 to 3 , y increases from 2 to 3 . Thus, f is increasing on the interval 1,3 . 2. (a) The point ( 4, 2 ) is on the graph of f , so f ( 4)〓 2 . The point ( 3,4 ) is on the graph of g , so g(3)〓4 . (b) We are looking for the values of x for which the y values are equal. The y values for f and g are equal at the points ( 2,1 ) and ( 2,2 ) , so the desired va…(생략)