If the functions f and g are defined for all real numbers and f is an anti-derivative of g, which of the following statements is NOT necessarily

correct?

correct?

**1.**If g(x) > 0 for all x, then a is increasing**2.**if g(a) = 0 then the graph of a has a horizontal tangent at x = a**3**. If f(x) = 0 for all x, then g(x) = 0 for all x**4.**if g(x) = 0 for all x, then f(x) = 0 for all x - ANSWER - Why?**5.**f is continuous for all x
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