The correct answer is C. Exponential growth. As the function given f(x) = ½ • (5)ª is in exponential form, its range f(x) will increase for any input x.
<h3>What is termed as Exponential growth?</h3>
- Exponential growth happens when the larger you are, the faster you grow, making you even larger.
- Compound interest or population growth characterizes growth.
- It is termed exponential growth because it is only mathematically described by multiplying time by the exponent or power of the base.
- The population is then equal to some arbitrary number to a power of the growth rate multiplied by the time.
- Typically, the arbitrary number is 2, and the growth rate is given as the reciprocal of a doubling time.
The given function is defined as;
f(x) = ½ • (5)ª
As, the function is written in the exponent form or power form , its is said to be exponential function.
Now, for any increasing value of x, the value of function will also increase but with increasing difference.
Thus, the function is termed as the exponential growth function.
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