a) Use the asymptotes and intercepts to make a quick sketch of the function f(x) =x-2/x+4 and its reciprocal,g(x)= x+4/x-2 , on the same set of axes.
b) Describe the symmetry in the graphs in part a).
c) Determine the equation of the mirror line in your graph from part a).
d) Determine intervals of increase and decrease for both f and g. How do the sets of intervals compare?
e) Does the pattern from part d) occur for all pairs of functions f(x) =x+b/x+d and , g(x) =x+d/x+b, b≠d ? Explain why or why not.
