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MCV4U1 Test: Unit 6 Curve Sketching A-10 Name:. 1. Given: f (x) = * +4 (x2_1)2 and f(x) = 30x2+10 x2_1' f (x) =--10x (x2-1)3

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MCV4U1 Test: Unit 6 Curve Sketching A-10 Name:. 1. Given: f (x) = * +4 (x2_1)2 and f"(x) = 30x2+10 x2_1' f (x) =--10x (x2-1)3 ' Use the function and its derivatives to determine the domain, intercepts, asymptotes, intervals of increase and decrease, and concavity, and to locate any local maximum or minimum and points of inflection. Use this information to sketch the graph of f(x). You must show all work in order to receive full marks! Round to one decimal place where necessary. Please sketch the function on the grid provided on the following page. 1MCV4U1 Test: Unit 6 Curve Sketching . X [10A] Domain Intercept(s) Asymptote(s) Interval of Increase Interval of Decrease Inflection Point(s) Concave Up Concave Down Local Maximum Local Minimum 2

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