Concept explainers
To find: which function is not continuous?
a. Your altitude when moving from Reno to Dallas as a function of time.
b. Miami to Pensacola trip time as a function of driving speed.
c. Number of balls that can entirely fit inside a given box as a function of ball radius.
d. A circle's area in relation to radius.
e. A baby's weight in relation to how long after birth it was born.
The correct option is (c).
Calculation:
(a) This is continuous, altitudes are expressed as real numbers and can continuously rise and fall. An airplane will never jump instantaneously from an altitude to another unless it has teleportation technology.
(b) This is continuous, both time and distance are real values (subdivide seconds into milliseconds and nanoseconds as much as we want).
(c) This is not continuous, the number of balls is a positive integer.
(d) This is continuous, an area is a real number and varies continuously.
(e) This is continuous, weight is a real number and varies continuously.
Chapter 1 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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