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Sagot :
The domain of the exponential function can take values is option (B) all real numbers is the correct answer.
What is an exponential function?
Exponential function involves exponents. An exponential function is an function with exponents where the exponent (or) a part of the exponent is a variable. The population increase or decrease can be modeled as exponential function.
For the given situation,
In 1990, Jamaica's initial population,P₀ = 2,466,000
Rate of population growth,r = 1.1% = 0.011
Let x be the number of years
Then the population growth can be written as
[tex]P(x)=P_{0}(1+r)^{x}[/tex] ------- (1)
Now substitute the above values,
⇒ [tex]P(x)=2466000(1+0.011)^{x}[/tex]
For x=0,
⇒ [tex]P(0)=2466000(1+0.011)^{0}[/tex]
⇒ [tex]P(0)=2466000(1)[/tex]
⇒ [tex]P(0)=2466000[/tex]
If we need to find the population growth in future years, we need to use positive values of x.
If we need to find the population growth in past years, we need to use negative values of x.
If we need to find the intermediate values, then we need to use rational numbers.
Hence we can conclude that the domain of the exponential function can take values is option (B) all real numbers is the correct answer.
Learn more about an exponential function here
https://brainly.com/question/12377120
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