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The given functions are exponential functions. The general equation of exponential function is,
[tex]y=a\cdot b^x[/tex]If the value of b is more than 1, then the exponential function is increasing.
For the given options, exponential function,
[tex]f(x)=5^x[/tex]has the value of b equal to 5, which is more than 1. So this function is an increasing function.
Answer:
[tex]f(x)=5^x[/tex]Option C is correct.