just because the graph is a horizontal line, it is not necessarily the line
y = 0
If the functions f and g are defined for all real numbers and f is an antiderivative of g, which of the following statements is NOT necessarily true.
(A)If g(x)>0 for all x, then f is increasing
(B)If g(a)=0, then f(x) has a horizontal tangent at x=a
(C)If f(x)=0 for all x, then g(x)=0 for all x
(D) If g(x)=0 for all x, then f(x)=0 for all x
(E)f is continuous for all x
I know the answer is D, but I need clarification as to why that's the answer. Thank you.
1 answer
1 answer