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Home > PC > Chapter 4 > Lesson 4.1.2 > Problem 4-31


Using the graph at right of , sketch the following functions (draw each on a separate grid).

  1. The function value, , is the -value. How does the graph change if is added to each -value?

  2. New function: If , (new) is equivalent to from the original function. Also, what does multiplication by do to the function?

  3. See part (b). Also, became , or became .

  4. in the original function occurs
    when in the new function.

Continuous piecewise, linear coming from lower left, passing through (negative 4, comma 0), changing to concave up cruve at (negative 2, comma 2), turning up at the origin, changing to horizontal ray at (3, comma 3).