Measured values of (each accurate within ±0.2) are shown

MATHEMATICS · Subjective · ISC · Mathematics · Calculus · Calculus

Problem

Measured values of

f'(x)

(each accurate within ±0.2) are shown.

x	1.0	1.5	2.0
$f'(x)$	4.1	3.9	4.3

Based on these data and the stated measurement error, decide whether the concavity of

f

on the interval

1 < x < 2

is guaranteed to be concave up, concave down, or cannot be determined. State your conclusion and justify it briefly.