3. Suppose that the population of a species of fish (in thousands) is modeled by x 10 0.5x 1 f(x) = where x 2 0 is in years. Fish Population by Year 12 10 0 10 12 14 Year a. Use the graph to identify the equation of the horizontal asymptote. b. Determine the initial population. c. What is happening to this population of fish?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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3. Suppose that the population of a species of fish (in thousands) is modeled by
x 10
0.5x 1
f(x) =
where x 2 0 is in years.
Fish Population by Year
12
10
0
10
12
14
Year
a. Use the graph to identify the equation of the horizontal asymptote.
b. Determine the initial population.
c. What is happening to this population of fish?
Transcribed Image Text:3. Suppose that the population of a species of fish (in thousands) is modeled by x 10 0.5x 1 f(x) = where x 2 0 is in years. Fish Population by Year 12 10 0 10 12 14 Year a. Use the graph to identify the equation of the horizontal asymptote. b. Determine the initial population. c. What is happening to this population of fish?
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