Page 54 - Calc for the Clueless

Intercepts: . Max, min possibles: . Substituting for y
values in the original equation, we get . Testing, is positive. is a
minimum. is positvie. is a minimum. f"(0) is negative. (0,0) is a maximum.

Possible inflection points: y" = 0. . Substituting for the y value into the original, we get the points
and . Testing for inflection points, . Both and are
inflection points.

The ends f(100) and f(-100) are positive. Both ends go to plus infinity. The sketch in two stages is as follows:

Example 26—

x intercept: y = 0 (3,0).

Note