Which of the following are true?

When f ''(x) > 0 then f(x) is concave up and f '(x) must be negative.

When f ''(x) > 0 then f(x) is concave down and f '(x) must be positive.

When f ''(x) > 0 then f(x) is concave up and f '(x) must be positive.

When f ''(x) > 0 then f(x) is concave up and f '(x) can be either positive or negative.

\fFor d(t) shown below, which of the following graphs is d "(t)? 3- N -2 + BobAND NADOO O X -3 -2 -1 O Ad N W + O -2 -1 O -3 -2 -1\f107 + + X -3 -2 -1 BOGAN NADOO N O -2 2 6 8 SomeN NADOO BobAN NADOO -2 2 18 O -2 2 6 8 +Ly BobAN NADOO -3 -2 JOHAN NADOO O -3 12 -1 N- #+ + -2 -1 BobAN NADOO O -3 -2 -1 2 +For the graph of f(x) shown; complete the table for f(x) and f"(x). #+H NADOO (-1,0) 0 (0, 1.5) 1.5 (1.5, 2) X X -2 f(x) decreaset decreasi increasin ing ng g f ' ( x ) negativ 0 positive 0 positive O e X (-1,0) (0, 1.5) 1.5 (1.5, 2) f "(x ) positive 0 negative 0 negative f (x) decreasing Concavit Concav No Concave No Concave 10 ly e up concavi down concavi up f ' (x) negative ty ty f " (x ) 0 0 positive Concavity Concave (-1,0) 0 (0, 1.5) 1.5 (1.5, 2) up X f(x) decreaset decreasi increasin ing ng g