(93W) 1. Construct a function of the form f(:1:) = m by selecting three integer values . a) Determine the intercepts, asymptotes, end behaviours. b) Use the quotient rule or product rule to nd the rst derivative, then intervals of increase and decrease. c) Find the second derivative, any points of inection and intervals of concavity. d) Sketch the graph and check the features of the graph by using www.desmos.com d' e) Suggest an application of the function. 2. Choose a point (a, b, c). Write three equations using this point to make a system of equations with three unknowns that has this unique solution. Interpret these equations geometrically. 3. Write equations for three parallel lines in vector form. Let these three lines represent the three parallel line segments of a triangular prism arrangement of three planes. Next, develop a system of equations of three planes that produce this geometric conguration