Please answer question with all work shown. Thank you so much.

Do a complete curve analysis, including domain, intercepts, symmetry, asymptotes, 1st derivative, 2nd derivative, to sketch the following equations. y = a V3x2 - 1 a) State the domain. [1 mark] b) Determine the intercepts. [1 mark] c) Is the graph symmetric? Justify your answer. [1 mark] d) Find the vertical/horizontal asymptotes (if any). [2 marks] e) Find the first derivative. Where does the function increase/decrease? Determine the maximum or/and minimum (if any). [2 marks] f) Find the second derivative. Where is the curve concave upward/downward? Locate the point of inflection (if any). [2 marks] g) Sketch the graph of the function. [1 mark]