MAC2233-PT3 - MAC2233 Survey of Calculus Practice Test#3 1...

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Survey of Calculus MAC2233 Practice Test #3 1) For the function graphed to the right, identify: a) The Critical Numbers ______________ b) Relative Extrema ______________ c) Points of Inflection ______________ d) Increasing Intervals ______________ e) Decreasing Intervals ______________ f) Concave Upward Intervals ______________ g) Concave Downward Intervals ______________ 2) Use the following information to graph the function f(x): f ¢ (x): - | + | - | + | + | - | - | + | + | + | 2 4 6 8 10 12 14 16 18 20 f ¢ ¢ (x): + | + | - | - | - | - | + | + | + | + | 2 4 6 8 10 12 14 16 18 20 = fi ) x ( f lim 6 x ; d.n.e. x y 0 2 4 6 8 10 12 14 16 18 13 8 10 Und. 10 13 9 1 8 20
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3) For the function, 3 x 15 x 6 x f(x) 2 3 + - - = , identify: a) The Critical Numbers ______________________ b) Relative Extrema ______________________ c) Points of Inflection ______________________ d) Increasing Intervals ______________________ e) Decreasing Intervals ______________________ f) Concave Upward ______________________ g) Concave Downward ______________________ 4) An open box is to be made from a 9 in. by 12 in. rectangular piece of material, by cutting equal
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