Question

Sketch a graph of the function h(x)=3/2sec2x by first sketching a graph of y = 3/2cos2x...

  1. Sketch a graph of the function h(x)=3/2sec2x by first sketching a graph of y = 3/2cos2x and then drawing the graph of y=h(x) on top of it. [Since you are drawing two graphs on the same set of axes, either use a different color to distinguish between the graphs or make one a dashed curve and the other solid.] Be sure to show work and intermediate steps to demonstrate that you did this WITHOUT a calculator or graphing program. On your graph, make sure you…
  • Label an appropriate scale on both axes.
  • Use dashed lines to show midlines and asymptotes (unless they’re on an axis).
  • Indicate exactly where each function has a relative maximum and minimum value, asymptote and where it is on the midline. Do this by labeling (all of these) exact values on the scale and/or using ordered pairs.
  • Show at least TWO full periods.

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