For each function below, write the equation of its general antiderivative, $F$.

1. $f\left(x\right) = –2$ 

   Hint (a):

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

   Answer (a):

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

2. $f\left(x\right)=\frac{3}{2}x^{−1/2}$ 

   Hint (b):

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

3. $f\left(x\right) = –3x^{2} + 6x$ 

   Hint (c):

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

4. $f\left(x\right) = 2\left(x + 3\right)$ 

   Hint (d):

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