• Establish a piecewise-defined function, one piece defined for x<1 and the other piece defined for x 1, satisfying following criteria.
  • Using the first letter of your first name (H), establish a function of the type for that letter (listed below) for the region x < 1.
  • Using the first letter of your last name (M), establish a function of the type for that letter (listed below) for the region x1.

HIJK: root function (e.g., square root, cube root, etc.)

LMN: exponential function, but not the natural exponential function

State the domain and range using appropriate mathematical notation; and explain why the domain and range are as you claim they are.