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You can write an exponential curve in the form:y = A e^(Bx)
And also in the form:
y = C D^x
Where A, B, C, and D are constants, and "^" represents a power.
Also, with exponential growth, the function will increase or decrease by the same factor in equal time intervals (for example, double every 1.3 years; triple every 2 months; etc.).
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoThe gradient of the growth curve, y = f(x) at any point (p, q) is directly proportional to the value of the curve at that point, q.
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Why does exponential growth show a characteristic j-shaped curve?
Unlimited resources
What is the origin of exponential growth?
Exponential growth does not have an origin: it occurs in various situations in nature. For example if the rate of growth in something depends on how big it is, then you have exponential growth.
What does exponential growth refer to in Mathematics?
Exponential growth in mathematics refers to how the growth rate of a value is proportional to the current value. Therefore, as the current value increases, the growth rate increases by a larger amount each time.
What is the exponential formula for population growth?
exponential decay formula is y=A x Bx
An exponential growth function represents a quantity that has a constant doubling time?
True
Why does exponential growth show a characteristic j-shaped curve?
Unlimited resources
What is exponent growth?
That means that the growth is equal to, or similar to, an exponential function, which can be written (for example) as abx, for constants "a" and "b". One characteristic of exponential growth is that the function increases by the same percentage in the same time period. For example, it increases 5%, or equivalently by a factor of 1.05, every year.
What is a growth factor in exponential growth?
implementation of exponential groth
What are characteristics of exponential growth?
The main characteristic is that the more it rises, the more quickly it rises. The slope is proportional to the height of the graph. So the growth quickly gets out of hand.
What is the origin of exponential growth?
Exponential growth does not have an origin: it occurs in various situations in nature. For example if the rate of growth in something depends on how big it is, then you have exponential growth.
What is cubic growth and how does it differ from exponential growth?
Cubic Growth is x^a, a being some constant, while exponential growth is a^x. Exponential growth ends up growing MUCH faster than cubic growth.
What are exponential growth and logistic growth?
Exponential Growth: occurs when the individuals in a population reproduce at a constant rate.Logistic Growth: occurs when a population's growth slows or stops following a period of exponential growth around a carrying capacity.
How can I define and describe logarighmic growth?
Logarithmic growth is the inverse of exponential growth. Exponential growth is a growth that occurs at a rate that is consistent and fast.
What is the difference between exponential growth and decay?
Exponential growth is when the amount of something is increasing, and exponential decay is when the amount of something is decreasing.
Who invented exponentail growth and exponential decay?
Reverend Thomas Malthus developed the concept of Exponential Growth (another name for this is Malthusian growth model.) However the mathematical Exponent function was already know, but not applied to population growth and growth constraints. Exponential Decay is a natural extension of Exponential Growth
When can exponential growth?
when there is no competition When there are unlimited resources- Apex Exponential growth can happen anytime when the rate of the growth is increasing along with an increase in growth.
How can you use the word exponential growth in a sentence?
the exponential growth of cows are increasing because of reproductin.....
