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Calc 1 Lab 23 pg2 - What is the domain of f(x a b For what...

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Unformatted text preview: What is the domain of f(x)? a. b. For what values of x make f(x) = 0? c. For what values of x is f(x) undefined? d. Determine lim f(x) and lim f(x) x —> 00 x -> — 00 e. For every value x = c for which fix) is undefined determine lim f(x) and lim f(x) x -> c+ x -> c‘ f. Determine where f(x) is positive and where f(x) is negative. g. Determine where f ‘(x) is zero and undefined. Also determine where f ‘(x) is positive and where it is negative. h. Determine where f “(x) is zero and undefined. Also determine where f “(x) is positive and where it is negative. i. For which values of x is f(x) concave up? Concave down? j. Give the x and y coordinates of all inflection points? k. For which values of x is the graph of f(x) below the x—axis? For which values is f(x) above the x-axis? 1. For which values of x is the function increasing? Decreasing? m. Give the x and y coordinates of all relative max’s and relative min’s. Here are the two functions. A. f(x) = 2*x"2/(x"2+2) f‘(x)==8*x«xA2+2)A2 f‘xx) =—(24*xA2_16y(xA2+2)A3 B. f(x) = (XA2—3)/XA3 f ‘(x) = —(x"2—9)/x"4 f “(x) = (2*x"2-36)/x"5 c. f(x)= x2-9 f‘(x) =flx_+_9, f“(x)=__32_ st (x75)2 (x—S)3 D. f(x) = (x-l)"(1/5) * (XA2+5*X+6) / (xA2—l6) [Have Maple find the derivatives of this function] 4. Consider the piece of the graph of the function f(x) = 2*x"3-6*x"2-12*x+l6 with a domain limited to the closed interval [ O , 5 ]. a. What value of x gives the absolute maximum value of f(x) on this interval? What is the value of the fimction as this x? b. What value of x gives the absolute minimum value of f(x) on this interval? What is the value of the function as this x? ...
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