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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

  • 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.
    • in the form of : f(x){

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. Use DESMOS to design a graph.

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