precalculus
posted by kawn .
analyzethe graph of the function
Find the x and yintercepts.
(b) Determine the end behavior: find the power function that the graph of f resembles for large values of x.
(c) Find the maximum number of turning points.
(d) Graph the function
Please show all of your work.
f(x)=(x1)(x+1)^3

yintercepts (when x=0): (0,1)
xintercepts: (1,0) and (1,0)
end behavior: y decreases forever; approaches y = x^4
Turning points: f is of degree 4, so a max of 3 turning points
In fact, it only has one at x = 1/2