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Home > PC > Chapter 5 > Lesson 5.2.5 > Problem 5-105

5-105.

We want to find where .

  1. Sketch .

    Piecewise, left ray, starting at open point (1, comma 4), passing through (0, comma 2), right ray, starting at open point (1, comma 2), passing through (3, comma 0).

    Piecewise, 4 pieces from left to right, first concave down curve, coming from left below x axis, going to negative infinity left of x = negative 1, second concave up curve, coming from infinity right of x = negative 1, passing through (0, comma 0.5), stopping at (1, comma 1 fourth), third concave up curve, starting at (1, comma 1/2), going to infinity left of x = 3, fourth concave down curve, coming from negative infinity right of x = 3, going to the right below x axis.

  2. What is the domain of ?

  3. What is the domain of ?

  4. What is ?