Question

f(x)=x^3+4x^2-9 at x=1

a.) Find all critical points; show all tests
b.) Find the x- and y- intercepts of the function
c.) Graph the function. Label important points
d.) Determine the intervals where the function is incresing ordecreasing
e.) Describe the end behavior
f.) Give the point of tangency with the indicated x-value
g.) Write the equation of the tangent line at the point of tangencyindicated
h.) Find the x- and y-intercept of the tangent line
i.) Graphy the tangent line at the point of tangency
j.) List any point(s) where there is a change in concavity of thefunction