f(x)=x^3+4x^2-9 at x=1
i) Determine all critical points; illustrate all tests
ii) Determine x- and y- intercepts of function
iii) Graph function. Label significant points
iv) Find intervals where function is incresing or decreasing
v) Find the end behavior
vi) Provide point of tangency with indicated x-value
vii) Write equation of tangent line at point of tangency indicated
viii) Determine x- and y-intercept of tangent line
ix) Graph tangent line at point of tangency
x) Write any point(s) where there is change in concavity of function.