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For each of the following functions, sketch the graph of the original and of .


    On a graph, where are the positive -values in relationship to the negative -values?

    2 V shaped graphs: Left, gray, vertex at (negative 4, comma 3), right, black, vertex at (4, comma 3)


    See part (a).

    2 decreasing curves, each with 2 sections. Left graph is black, with asymptotes, x axis &, x,= negative 4.  Right graph is gray with asymptotes, x axis &, x, = 4. Each section approaches the asymptotes as follows: Black Left section, horizontal from below, vertical, from right, right section horizontal from above, vertical from left. Gray left section, horizontal from above, vertical from left, right sections, horizontal from below, vertical from right.

  1. Is each of these functions odd, even, or neither? Justify your answer.

    Are either of these graphs symmetrical over the -axis (even) or a rotation about the origin (odd)?