Calculus Early Transcendentals Solutions Manual Stewart, Exercises of Calculus

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1. (a) The point (-1,-2} is on the graph of f , so f{-1)=-2 . {b) When x=2 , v is about 2.8 , so f(2)=2.8 . {e) f#@)=2 is equivalent to =2 . When »=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 / consists of all x -valucs on the graph of f . For this function, the domain is 3<.x<3, or[ 3,3] . The range of f consists of ally values on the graph of f . For this function, the range is -2< p< 3, or [-2,3] . (f) As « increases from -1 to 3, y increases from —2 to 3 . ‘Thus, / is increasing on the interval [-1,3] 2. (a) The point ( 4, 2} is on the graph of /', so /{ 4)= 2 . The point (3.4) is on the graph of g, so 234 - (b) We are looking for the values of x for which the y —values are equal. The » —values for f and g¢ are equal at the points (-2,1) and (2,2) , so the desired values of x are -2 and2 . {c) {()—1 is equivalent to »——-1 . When y—1 . we have «—3 and «-4 . (d) As x increases from 0 to 4 , y decreases from 3 to-1 . Thus, / is decreasing on the interval [0,4] {e) The domain of / consists of all x -valucs on the graph of f . For this function, the domain is -4