Question

Is the function f(x) =(9/10)^x an exponential function if so identify the base if not why not?

yes, base = 9

No, the exponent is not variable.

yes, base =9/10



No, the base is not a positive real number not equal to 1.

Answer 1

Yes, base
`=(9)/(10)`

Explanation:

An exponential function with base b is defined by
`f(x)=a\cdot b^x,` where
`a\\eq 0, b > 0 , b\\eq 1,` and x is any real number. The base, b, is constant and the exponent, x, is a variable.

You are given the function

`f(x)=\left((9)/(10)\right)^x`

So,

`a=1,\ a\\eq 0\\ \\b=(9)/(10),\ b\\eq 1,\ b>0`

So, this function is exponential function with the base
`(9)/(10)`