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ANSWER:
This function is usually used to model the population growth, growth of bacteria, profit or the drop in the value of a product.
When you express this function algebraically, it has a variable as an exponent. The Parent Function of Exponential Function is:
When you want to know the future population:
b shows two types of situations
GROWTH: b>1
DECAY: 0<b<1
HALF-LIFE
is a key word when looking the bacterial growth.
"A measure of time that indicates how long it takes for a chemical substance to decrease to half of its original mass."
Also, there are restrictions:
Asymptote
is the horizontal/vertical line that would never touch the graph.
Hole
is where a point is unidentified.
When you express the equation using the table of values, both first and second differences are NOT constantly increasing.
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