1. The problem statement, all variables and given/known data a) Graph [tex]y = -x^5 +5x -6[/tex]. Include coordinates of local max, min, and points of inflection. Indicate the behavior as x-> -infinity, x -> infinity. b) Find in slope-intercept form the equation of the tangent line to the curve at x = 2. 2. Relevant equations 3. The attempt at a solution a) I found that the critical numbers are 1 and -1. The POI is 0. As x->infinity the limit -> -infinity and vice versa. Coordinates are (1,-2), (0,-6), (-1,-10). I've also graphed it to match my findings. b) I'm not sure what to do for this part. Thanks for any help!