UCSS Math III 4A.2.4 Example 2

Sketch the graphs of and on a coordinate plane, using a graphing calculator if needed. Describe the end behavior of the function. Then, write in terms of .
  1. Determine function values for and and write the results as ordered pairs.
  2. Find the value(s) of at which .
  3. Determine additional points for sketching the graph of each function.
  4. Write and plot the additional points.
  5. Write in terms of .
  6. Plot and sketch a curve to connect the points for each function.
  7. Describe what happens to the function values for domain values less than 1.
  8. Describe what happens to the function values for domain values greater than 1.
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