Sketch the graph of the rational function 1 f(z) = 12 - 4 by determining the answers to the following. (A) State the domain in interval notation (B) Determine any intercepts, written as points. (C) State the equations of any vertical asymptotes and use one-sided limits to determine the behavior around the asymptotes. (D) Use a limits at infinity to calculate the equation of any horizontal asymptotes. (E) Determine the intervals where the function increases and decreases. (F) Using the results from your sign chart in (E), list any local extrema as points. (G) Determine the intervals where the function is concave up and down. (H) List any inflection points