C is correct
for exponential functions: f(x) = [tex]a^{x}[/tex] (a>0 and a[tex]\neq 0[/tex] ), when A is greater than the function is increased.
0.5 <1, [tex]\frac{1}{15}[/tex]<1 , [tex]\frac{1}{5}[/tex]<1 , 5>1
so C is correct.
The exponential is a mathematical function denoted by the argument x is written as an exponent. Unless otherwise specified, the term generally refers to the positive-valued function of a true variable, although it are often extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. The exponential originated from the notion of exponentiation (repeated multiplication), but modern definitions (there are several equivalent characterizations) allow it to be rigorously extended to all or any real arguments, including irrational numbers. Its ubiquitous occurrence in pure and applied math led mathematician Walter to opine that the exponential function is "the most important function in mathematics".
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