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Absolute Maximum - Calculus - Quiz, Exercises of Calculus

Main points of this past exam are: Absolute Maximum, Absolute Minimum, Values, Function, Intervals of Increase, Local Maximum, Minimum Values

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA125 CALCULUS I SPRING 2002
April 2002 QUIZ 7 Jellett
SCORE
NAME:..........................................
/30
1. Find the absolute maximum and the absolute minimum values of the function
f(x) = 2x3+ 3x2
−12x+ 9 over the interval [0,5].
2. For the function f(x) = x3
−3x2
−9x+ 2,
(i) Find the intervals of increase or decrease
(ii) Find the local maximum and minimum values
(iii) Find the intervals of concavity and the inflection points
(iv) Use the above information to sketch the graph, labelling the maximum and
minimum points and the y-intercept.

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MA125April 2002 CALCULUS IQUIZ 7 SPRING 2002Jellett NAME:.......................................... SCORE/

  1. f ( (^) xFind the absolute maximum and the absolute minimum values of the function) = 2x (^3) + 3x (^2) − 12 x + 9 over the interval [0, 5]. 2.(i) Find the intervals of increase or decrease For the function f (x) = x^3 − 3 x^2 − 9 x + 2, (ii) Find the local maximum and minimum values (iii) Find the intervals of concavity and the inflection points (iv) Use the above information to sketch the graph, labelling the maximum andminimum points and the y-intercept.