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4-19.
  1. For each f(x), find its general antiderivative, F(x). Homework Help ✎

    1. f(x) = −2

    2. f(x) = −3x2 + 6x

    3. f(x) = 2(x + 3)

Just as f '(x) is the slope function of f(x), f(x) is the slope function of F(x).

If the slope function, f(x), is horizontal,then the original function, F(x), is _______________.

If f(x) is horizontal, then F(x) will be linear: F(x) = -2x + C

Check your work by finding the derivative of F(x). Are your + and − signs correct?

For all of these, don't forget the +C.

If the slope function, f(x), is linear,then the original function, F(x), will be _____________________________.