Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
SHOW YOUR WORK-
f(x) = x5 − 5x
A. intercepts - (x,y)( smallest x-value)-?
(x,y)-?
(x,y)(largest x-value)-?
B. relative minimum -(x,y)-?
relative maximum- (x,y)-?
C. point of inflection -(x,y)-?
D. Find the equation of the asymptote- ?
E. Use a graphing utility to verify your results-?