LynkolnT324211 LynkolnT324211
  • 04-11-2022
  • Mathematics
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Which function is increasing? O A. (x) = (0.5)" B. f(x) -(1) OC. Rx) = 5* (x OD. f(1) = - ©

Which function is increasing O A x 05 B fx 1 OC Rx 5 x OD f1 class=

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YeicobZ5440 YeicobZ5440
  • 04-11-2022

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.

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