Determine whether each statement is true or false and explain why.(1) If a function is concave upward on an interval it must be increasing on that interval.(2) If f"(x)>0 on an interval, then the function is concave upward on the interval.(3) If a function has an inflection point at x = c, thenf" (c)=0.(4) If f'(c)=0 and f"(c)>0, then by the SecondDerivative Test, f (c) is a relative maximum.