The population of treated mosquitoes comes in thousands, in a tropical rain forest at time m, in months, is demonstrated by the following function: S 8+m², if 0 sm< 3 3+ m², if 3 < m < 6 p (m) = This function describes a sudden change in the population at time m=3 because of a tragic event caused by forest fire. A. Sketch the graph of p(m) lim p(m) and lim p(m) m→3+ B. Evaluate m-3- C. Determine how many treated mosquitoes were eliminated by the fire. D. What is the time, when the population recovers to the amount they were before the fire?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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The population of treated mosquitoes comes in thousands, in a tropical rain forest at
time m, in months, is demonstrated by the following function:
8+m², if 0< m < 3
m² , iƒ 0 < m < 3
24
р (т) —
3 + m², if 3 < m < 6
This function describes a sudden change in the population at time m=3 because of a
tragic event caused by forest fire.
A. Sketch the graph of p(m)
lim p(m) and lim p(m)
m→3+
B. Evaluate m→3-
C. Determine how many treated mosquitoes were eliminated by the fire.
D. What is the time, when the population recovers to the amount they were before
the fire?
Transcribed Image Text:The population of treated mosquitoes comes in thousands, in a tropical rain forest at time m, in months, is demonstrated by the following function: 8+m², if 0< m < 3 m² , iƒ 0 < m < 3 24 р (т) — 3 + m², if 3 < m < 6 This function describes a sudden change in the population at time m=3 because of a tragic event caused by forest fire. A. Sketch the graph of p(m) lim p(m) and lim p(m) m→3+ B. Evaluate m→3- C. Determine how many treated mosquitoes were eliminated by the fire. D. What is the time, when the population recovers to the amount they were before the fire?
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