The depth of water in a reservoir

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The depth of water in a reservoir, in meters, is modeled by a continuous function

g

of time

t

(hours). Measurements show

g(0)=1.5

and

g(4)=3.2

. Determine whether the water depth reached 2.8 m at some time during the first 4 hours. Provide a brief justification.