The table shows selected values of for a differentiable function

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The table shows selected values of

k'(x)

for a differentiable function

k

x	1	2	3	4
$k'(x)$	−5	−3	0	4

Determine whether the graph of

k

is concave up or concave down on the open interval

1 < x < 4

. Briefly justify your answer using the data in the table.