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That depends whether we're talking about a general definition of an exponential function or a technical definition (using an exponent of Euler's constant).
In the former case, there are lots of examples: working out radio-active half-life or the operation of compound interest, to name a couple.
In the latter case, I think it's used for theoretical simulations of mind-bending complexity, such as how a machine might rattle itself to bits... when you want to know the maximum impact of multiple worsening faults on each other (I think).
Ok, I'll have a go. Construct a rather large cage; put in a male rabbit and a female rabbit. Arrange for a good supply of food and water. Count the population every month and plot it on a graph. It would really help you to understand what is going on if you removed any dead rabbits at once, but allowed for them when trying to analyse your numbers. If you are impatient, you could get the same results much faster using fruit flies, but they are oh so hard to count. -Another- Bacterial growth is a classic exponential growth Say you begin with one bacterium and it takes 24 hours to divide... At t=0 days there would be just the one bacterium. At t=1day, there would be two, which would divide and at t=2, there would be four etc. A graph of population size against time could be plotted... you would find that population size = 2^time. This is exponential.
What else can I help you with?
What is a real life example of a power function?
curent
What is the is period of cosh y?
Since cosh is based on the exponential function, it has the same period as the exponential function, namely, 2 pi i.Note: If you consider only the real numbers, the exponential function, as well as cosh, are NOT periodic.
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!
What is an example of a real life cubic function?
A real world example of a cubic function might be the change in volume of a cube or sphere, depending on the change in the dimensions of a side or radius, respectively.
Why negative numbers don't have logarithim?
The logarithmic function is not defined for zero or negative numbers. Logarithms are the inverse of the exponential function for a positive base. Any exponent of a positive base must be positive. So the range of any exponential function is the positive real line. Consequently the domain of the the inverse function - the logarithm - is the positive real line. That is, logarithms are not defined for zero or negative numbers. (Wait until you get to complex analysis, though!)
What is an Example of a real life exponential function in electronics?
An example of a real life exponential function in electronics is the voltage across a capacitor or inductor when excited through a resistor. Another example is the amplitude as a function of frequency of a signal passing through a filter, when past the -3db point.
What is the domain of logarithm and exponential function?
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
What is a real life example of a power function?
curent
What is the is period of cosh y?
Since cosh is based on the exponential function, it has the same period as the exponential function, namely, 2 pi i.Note: If you consider only the real numbers, the exponential function, as well as cosh, are NOT periodic.
What are exponential used for in a real world example?
ui
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!
What is an example of a real life parent linear function?
y=x2
What are the domain and range of an exponential function?
The domain of an exponential function, typically expressed as ( f(x) = a^x ) (where ( a > 0 )), is all real numbers, represented as ( (-\infty, \infty) ). The range, however, is limited to positive real numbers, given by ( (0, \infty) ), since the output of an exponential function never reaches zero or negative values.
What happened if the base of exponential function is less than zero?
If the base of an exponential function is less than zero, the function can exhibit complex behavior. Specifically, if the base is a negative number, the function will not be defined for all real numbers, as it will yield complex numbers for non-integer exponents. Consequently, the exponential function may oscillate between positive and negative values, depending on the exponent's parity, which complicates its interpretation in real-world applications. Thus, exponential functions are typically defined with a positive base for meaningful real-valued outputs.
What is not a characteristic of an exponential parent function?
Periodicity is not a characteristic.
What will happen if the base of the exponential function is less than zero?
If the base of an exponential function is less than zero, the function will produce complex values for certain inputs, particularly when the exponent is not an integer. This is because raising a negative base to a real exponent can lead to undefined or non-real results. Generally, exponential functions are defined for positive bases to ensure that the output remains real and continuous for all real exponent values.
What is an example of a real life cubic function?
A real world example of a cubic function might be the change in volume of a cube or sphere, depending on the change in the dimensions of a side or radius, respectively.
