Example 1

Sketch the graphs of the functions and on a coordinate plane. Describe the end behavior of each function.
  1. Determine function values for and and write the results as ordered pairs.
  2. Find the value(s) of at which .
  3. Find the function value at which the functions are equal.
  4. Write the approximate point at which the functions intersect.
  5. Determine additional points for sketching the graph of each function.
  6. Write the additional points.
  7. Plot and sketch a curve to connect the points for each function.
  8. Describe what happens to the function values as becomes very large and as approaches 0.
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.