Advanced Functions - Grade 12 Chapter 3 TEST MHF4U THINKING [10 MARKS] x +1 16. a) Use the asymptotes and intercepts to make a quick sketch of the function /(*) = x - 5 and its reciprocal (x) - x+ 1 . on the same set of axes. [5 MARKS] 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 where fis positive and where f is negative. Determine intervals where for is positive and where fRis negative. How do the two sets of intervals compare to each other? Ax) = It b x+ d e) Would the pattern from part d) occur for all pairs of functions xto and (x) = *+ 5 ? Explain why or why not