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Can an exponential decay model have negative y values?
An exponential function can have negative y-values. However, a real-world exponential decay model will never have negative values. Think of it this way... If you divide a positive number by 2 (or take half of it) and then divide that next number by 2, you will never reach or go below 0. For Example: 20, 10, 5, 2.5, 1.25, 0.625, 0.3125, etc. (Each number is half of the number before it.)
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).
What possible values can the growth factor have in an exponential decay equation?
Any number below negative one.
Can computer solve exponential function?
Do you mean "equations involving exponential functions"? Yes,
Do all exponential functions show growth over time?
If the exponent has the variable of time in it, then it will be either exponential growth (such as compound interest for example), or exponential decay (such as radioactive materials, or a capacitor discharging). If the time constant (coefficient of the time variable) is positive then it is growth, if the time constant is negative, then it is decay.
Can a exponential function be a negative number?
Well -x^3/4 would be exponential
The base of an exponential function cannot be a negative number?
True
What is the difference between power functions and exponential functions?
Power functions are functions of the form f(x) = ax^n, where a and n are constants and n is a real number. Exponential functions are functions of the form f(x) = a^x, where a is a constant and x is a real number. The key difference is that in power functions, the variable x is raised to a constant exponent, while in exponential functions, a constant base is raised to the variable x. Additionally, exponential functions grow at a faster rate compared to power functions as x increases.
How do you write the standard number -75.116 in exponential notation?
Negative numbers cannot be written in exponential notation. The rules require the number to be between 1.0-9.9.
When is an exponential expression completely simplified?
when there is no negative exponentswhen there is a minimal number of bases~
What is the relationship between exponential and logarithmic functions?
Exponential and logarithmic functions are inverses of each other.
Why do exponential functions not equal zero?
exponent of any number is more than 0
Are there points of discontinuity for exponential functions?
There are no points of discontinuity for exponential functions since the domain of the general exponential function consists of all real values!
Can an exponential decay model have negative y values?
An exponential function can have negative y-values. However, a real-world exponential decay model will never have negative values. Think of it this way... If you divide a positive number by 2 (or take half of it) and then divide that next number by 2, you will never reach or go below 0. For Example: 20, 10, 5, 2.5, 1.25, 0.625, 0.3125, etc. (Each number is half of the number before it.)
A feature that is common to all exponential functions of the form F of x equals bx is that they have a common horizontal asymptote at the negative axis?
x axis
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).
What is the difference between exponential functions and logarithmic functions?
Exponential and logarithmic functions are different in so far as each is interchangeable with the other depending on how the numbers in a problem are expressed. It is simple to translate exponential equations into logarithmic functions with the aid of certain principles.
