Math 3 (9.10)

Math 3 Notes (September 2010)

If f(x)= 2x^3-2x^2+x-1 find the zeroes, max/min, point of inflection,where the function is increasing/decreasing, and where the function is concave up/down.

Answers:

Zeroes: 1 Maximum: none Minimum: none Point of Inflection: (1/3,-22/27) Increasing: (-oo,oo) Concave up:(1/3,oo) Concave down:(-oo,1/3)

Find the interesting stuff for the following equation:

y = (x^3) + 2(x^2) - 4x + 2

ANSWERS: zero -3.37 max (-2, 10) min (2/3, 14/27) point of inflection (-2/3, 142/27)