A function is known only at the points shown below

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A function

f

is known only at the points shown below, and

f

is assumed to be linear between successive sample points. x: 0 1 2 3 4 f(x): 2 3 5 4 1 Estimate the average value of

f

[0,4]

. Give your answer to three decimal places.