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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?
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∙ 14y ago
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Wiki User
∙ 14y ago
Melia Garcia
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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.
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
How are exponential functions characterized?
An exponential function is any function of the form AeBx, where A and B can be any constant, and "e" is approximately 2.718. Such a function can also be written in the form ACx, where "C" is some other constant, used as the base instead of the number "e".
Why are the y-values of an exponential growth function either always greater than or less than the asymptote of the function?
The exponential function is always increasing or decreasing, so its derivative has a constant sign. However the function is solution of an equation of the kind y' = ay for some constant a. Therefore the function itself never changes sign and is MORE?
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 positive but not equal to 1 and the exponent x is?
any number
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.
