The growth of a population of bacteria can be modeled by an exponential function. The graph models the population of the bacteri
1 answer:
Answer:
t ≥0
Step-by-step explanation:
Given the information:
The initial population: 500
The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,
=> our function is: P(t) =500* where b is the base number and it is ≥0
- What is the domain of the function?
The domain of exponential functions is all real numbers greater than zero
<=> t ≥0 (because t present for the time and time can not have negative value)
- What does the domain represent in this context?
t is the independent variable is this exponential function and the population of bacteria depends on the change of t.
Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)
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<h2>Hello!</h2>
The answer is:
The answer is the fourth option,
Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.
We are given the piecewise function:
There, we know that:
We should use the first expression if the value to evaluate is less than -2.
So, for this case, the function will be:
We should use the second expression if the value to evaluate is greater or equal than 2.
So, for this case, the function will be:
Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.
So, evaluating the function we have:
Hence, we have that the answer is the fourth option,
Have a nice day!