0
Using "^" for powers, you can write as:y = ab^x
or alternatively as:
y = a exp(kx)
where a, b, k are different constants, and exp() is the exponential function (e^x).
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoIt is y = a*b^x
Add your answer:
Earn +20 pts
What is exponential growth?
Exponential Growth is when the growth rate of a mathematical function is proportional to the function's current value. Exponential growth is when an animal or whatever object increasing at an increasing rate. For example 2, 4, 8, 16, 32, 64 etc. This is exponential growth because it is multiple by a consistent number, or two. The key part is that is it multipled not added which would be lineal growth.
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
Is the compound interest of an amount as a function of time an examle of exponential growth?
Yes. Anything that multiplies repeatedly like that is exponential, also sometimes referred to as geometric.
When would you use a power function and when would you use a exponential function?
Both of these functions are found to represent physical events in nature. A common form of the power function would be the parabola (power of 2). One example would be calculating distance traveled of an object with constant acceleration. d = V0*t + (a/2)*t². The exponential function describes many things, such as exponential decay: like the voltage change in a capacitor & radioactive element decay. Also exponential growth (such as compound interest growth).
An exponential growth function describes an amount that decreases exponentially over time?
an exponential growth function describes an amount that increases exponentially over time.
What is the exponential growth of 9?
There is no such thing. "Exponential growth" implies that there is some function - a variable that depends on another variable (often time).
What is exponential growth?
Exponential Growth is when the growth rate of a mathematical function is proportional to the function's current value. Exponential growth is when an animal or whatever object increasing at an increasing rate. For example 2, 4, 8, 16, 32, 64 etc. This is exponential growth because it is multiple by a consistent number, or two. The key part is that is it multipled not added which would be lineal growth.
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
An exponential growth function represents a quantity that has a constant halving time?
That would be an exponential decay curve or negative growth curve.
Does an exponential growth function represents a quantity that has a constant doubling time?
False
An exponential growth function represents a quantity that has a constant doubling time?
True
Exponential growth function?
y=a*b^x where b>1 and a>1
What are some characteristics of the graph of an exponential function?
An exponential function is a nonlinear function in the form y=ab^x, where a isn't equal to zero. In a table, consecutive output values have a common ratio. a is the y-intercept of the exponential function and b is the rate of growth/decay.
Does an exponential growth function describe an amount that increases constantly over time?
Yes.
Does an exponential growth function describes an amount that increases constantly over time?
Yes.
A function takes the exponential function's output and returns the exponential function's input?
A __________ function takes the exponential function's output and returns the exponential function's input.
