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Home > CALC > Chapter 1 > Lesson 1.4.1 > Problem 1-140

1-140.
  1. Given the function f(x) sketched below, Homework Help ✎

    1. Sketch f(−x).

    2. Sketch −f(x).

    3. Sketch f(f(x)).

Start by making a table of values for the given function.

Give each of the x-values in your table the opposite sign and graph the new function.

Since f(x) = y, give each of the y-values in your original table the opposite sign. Then graph the new function.

Add a third column to your original table labeled f(f(x)). Then, for example, f(f(–3)) = f(1) = –1.