The function which has a constant halving time represents the exponential decay or negative growth curve type of function.
What is exponential decay?
When the value of one variable of the function is decreased with increase in the number of other variable, then it is called the exponential decay function with constant exponential coefficient.'
It can be given as,
[tex]f(x)=ab^x[/tex]
Here, a is the exponential coefficient.
A function which has a constant halving time is,
[tex]A(t)=A_o\left(\dfrac{1}{2}\right)^{t/h}[/tex]
Here, Ao is the initial time, t is time and h is halving time. This is an exponential decay function.
The function which has a constant halving time represents the exponential decay or negative growth curve type of function.
Learn more about the exponential decay here;
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