80.4k views
0 votes
Can the base of a exponential function be 1?

User Kamilton
by
6.4k points

1 Answer

3 votes

Answer:

No

Explanation:

An exponential function is defined as an equation which takes the form of
y=ab^x, 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
y=a(1)^x is equivalent to
y=a. The equation y=a is a linear function (and not an exponential function).

User Nvcken
by
6.6k points