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Q: An exponential function is written as Fx equals a bx where the coefficient a is a constant the base b is positive but not equal to 1 and the exponent x is?
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What the difference between an exponential equation and a power equation?

y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a


What is meaning of exponent with variable?

That you have an exponential function. These functions are typical for certain practical problems, such as population growth, or radioactive decay (with a negative exponent in this case).


How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?

The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.


What are the characteristics of exponential functions?

Here are some: * They tend to grow (or decrease) very fast* The derivative of the basic exponential function is equal to the function value itself * They are used to describe many common situations, such as the growth of a population under certain conditions, radioactive decay, etc. * An exponential function with a positive exponent will eventually grow faster than any polynomial function


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.

Related questions

An exponential function is written as Fx equals a bx where the coefficient a is the base b is positive but not equal to 1 and the exponent x is any number?

a constant


An exponential function is written as Fx equals a bx where the coefficient a is a constant the base b is but not equal to 1 and the exponent x is any number?

positive


In exponential growth functions the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1 How would the function change if the base of the expon?

"The base of the exponent" doesn't make sense; base and exponent are two different parts of an exponential function. To be an exponential function, the variable must be in the exponent. Assuming the base is positive:* If the base is greater than 1, the function increases. * If the base is 1, you have a constant function. * If the base is less than 1, the function decreases.


Does an exponent have an opposite?

The inverse function of the exponential is the logarithm.


What is the dentition of exponential?

Dentition, the numbering used for teeth, has nothing to do with the exponential function!


What non-exponential function is its own derivative?

The only non-exponential function that has this property would be a function that has the constant value of zero.


What the difference between an exponential equation and a power equation?

y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a


What is meaning of exponent with variable?

That you have an exponential function. These functions are typical for certain practical problems, such as population growth, or radioactive decay (with a negative exponent in this case).


How can you tell if an exponential function is exponential growth or decay by looking at its base?

It is not enough to look at the base. This is because a^x is the same as (1/a)^-x : the key is therefore a combination of the base and the sign of the exponent.0 < base < 1, exponent < 0 : growth0 < base < 1, exponent > 0 : decaybase > 1, exponent < 0 : decaybase > 1, exponent > 0 : growth.


An exponential growth function represents a quantity that has a constant doubling time?

True


Does an exponential growth function represents a quantity that has a constant doubling time?

False


How does an exponential function differ from a power function graphically?

An exponential function of the form a^x eventually becomes greater than the similar power function x^a where a is some constant greater than 1.