joannleeolsen778 joannleeolsen778
  • 02-01-2023
  • Mathematics
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Can the base of a exponential function be 1?

Respuesta :

aponline129 aponline129
  • 02-01-2023

Answer:

No

Step-by-step explanation:

An exponential function is defined as an equation which takes the form of [tex]y=ab^x,[/tex] where a is any real number and b is any positive number not equal to 1.

Hence, the base of an exponential function cannot be 1.

You can also deduce that if the base is 1, then [tex]y=a(1)^x[/tex] is equivalent to [tex]y=a.[/tex] The equation y=a is a linear function (and not an exponential function).

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